Answers
At 1 hour, 3 hours and 6.5 hours she travels 36 miles, 108 miles and 234 miles respectively using the concept of average speed of an object.
As per the question statement, Clare covers a distance of 0 miles, 72 miles, 144 miles and 216 miles in 0 hours, 2 hours, 4 hours and 6 hours respectively.
We are supposed to find out the distance travelled by her in 1 hour, 3 hours and 6.5 hours.
We will use the concept of average speed of an object which is as follows
average speed = total distance divided by the total time taken
average speed = 216/6 = 36 miles per hour
Hence at 1 hour, distance = 1 * 36 = 36 miles
at 3 hours, distance = 3 * 36 =108 miles
at 6.5 hours, distance = 6.5 * 36 = 234 miles
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Related Questions
Use an integer or a fraction to describe the slope of a perpendicular To this line.
Answers
Answer:
slope of perpendicular line = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
calculate the slope m of the given line using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (3, 3) ← 2 points on the line
m = [tex]\frac{3-0}{3-1}[/tex] = [tex]\frac{3}{2}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{2} }[/tex] = - [tex]\frac{2}{3}[/tex]
Help ! Pleaseeeeeeee asap
Answers
The obtained decimal number is 0.155.
To solve the question [tex]\frac{3.1 * 10}{2.0 * 10^{2}}[/tex].
Canceling out 10 from the denominator and numerator
= [tex]\frac{3.1 }{2.0 * 10}[/tex]
= 3.1 / 20
Remove the decimal point from the numerator and add one zero in the denominator
= 31/ 200
As we divide the numbers using the long division method we get the decimal number as a result,
= 0.155
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Use the figure below to answer questions #1-3.
What is the special angle pair relationship between 1 and 23?
m
2/7
3/6
4/5
at
1/8
Answers
The special angle pair relationship between the given angles are:
1. Corresponding angles
2. Alternate exterior angles
3. Consecutive
What are Some Special Angle Pair Relationship?The following are some special angle pair relationships:
Corresponding Angles: These are pairs of angles that lie on relative position to each other on the two parallel lines that are intercepted by a transversal. They are congruent to each other.Alternate Exterior Angles: These are exterior angles that are on each parallel lines that are crossed by a transversal and lie alternate to each other. They are congruent to each other also.Consecutive Interior Angles: These are angles on the same side of a transversal but lie each on the parallel lines that the transversal cuts across. They are supplementary.1. Angles 1 and 3 form a special angle pair relationship known as: corresponding angles.
2. Angles 8 and 4 form a special angle pair relationship known as: alternate exterior angles.
3. Angles 2 and 3 both lie on the same side of the given transversal, therefore, the special angle pair relationship between angle 2 and angle 3 is: consecutive interior angles.
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25) The line through x-intercept 3 and y-intercept -1 in slope-intercept form.
Answers
How to find the slop: m=y2-y1/ x2-x1
Points:
(3,0), (0,-1)
y intercept= (0,-1)
m=(0- -1)/(3-0)
m=(0+1)/(3-0)
m=1/3
Y= Mx+b
Y=1/3x - 1
There are only green pens and blue pens in a box.
There are three more blue pens than green pens in the box.
There are more than 12 pens in the box.
Simon is going to take at random two pens from the box.
The probability that Simon will take two pens of the same colour is
27/55
Work out the number of green pens in the box.
Answers
Answer:
Green Pens : 21
Step-by-step explanation:
Let the number of
green pens = x
Three more blue pens than green pens translates to
=> number of blue pens = number of green pens + 3
=> blue pens = x + 3
Total number of pens = blues + green = x + 3 + x = 2x + 3
Probability of taking 2 green pens:
The first time a green pen is taken out, the probability
P( 1s green pen) = Number of green pens/Total number of pens
= [tex]\dfrac{x}{2x + 3}[/tex]
After the first green pen is removed, the number of green pens will be one less and so will the total number of pens
Number of green pens = x - 1
Total number of pens = 2x + 3 - 1 = 2x + 2
P(second green pen | first green pen)
[tex]=\dfrac{x-1}{2x + 2}[/tex]
P(2 green pens) = P(first green pen) x P(second green pen)
[tex]= \dfrac{x}{2x + 3} \times \dfrac{x-1}{2x + 2}\\\\=\dfrac{x(x -1)}{(2x +3)(2x+2)}[/tex] [1]
Probability of 2 blue pens
P( 1st blue pen) = number of blue pens/total number of pens
[tex]=\dfrac{x + 3}{2x + 3}[/tex]
P(second blue pen = (number of pens remaining if first was blue) ÷ total number of pens - 1
If the first pen taken was blue then there will be 2x + 3 - 1 blue pens out of a total of 2x + 3 - 1 pens
P(2nd blue pen | first blue pen)
[tex]=\dfrac{x + 2}{2x + 2}[/tex]
[tex]\text{P(2 blue pens)} =\dfrac{x + 3}{2x + 3} \times \dfrac{x + 2}{2x + 2}[/tex][tex]=\dfrac{(x + 3)(x+2)}{(2x + 3)({2x + 2})}[/tex] [2]
The probability of either 2 green pens or 2 blue pens is the sum of the two probability expressions [1] and [2]
[tex]= \dfrac{x(x -1)}{(2x +3)(2x+2)} + \dfrac{(x + 3)(x+2)}{(2x + 3)({2x + 2})}[/tex]
[tex]= \dfrac{x(x - 1)+ (x + 3) (x +2)}{(2x + 3)(2x + 2)}\\\\\\= \dfrac{2x^2+4x+6}{(2x + 3)(2x + 2)}\\\\\\\\[/tex]
Numerator: factor out 2 to get 2(x² + 2x + 3)
denominator = 4x²+10x+6 = 2 (2x² + 5x + 3)
2 of numerator and 2 of denominator cancel out to give the final expression:
[tex]\dfrac{x^2\:+\:2x\:+\:3}{2x^2+\:5x\:+\:3}[/tex]
But we are given that the probability of picking 2 pens of the same color = 27/55
This will give us:
[tex]\dfrac{x^2\:+\:2x\:+\:3}{2x^2+\:5x\:+\:3} = \dfrac{27}{55}[/tex]
Cross-multiplying we get
[tex]55\left(x^2+\:2x\:+\:3\right)=27\left(2x^2+\:5x\:+\:3\right)[/tex]
=> [tex]55x^2+110x+165 = 54x^2+135x+81[/tex]
Grouping like terms and simplifying gives
[tex]x^2-25x+84=0[/tex]
This is a quadratic equation which can be solved using a scientific calculator (as I did)
The solution set is
x = 21, x = 4
Remember x = number of green pens. We can ignore x = 4 because the total number of pens given by the expression 2x + 3 will be less than 12 and we are told there are more than 12 pens total
So the solution is x = 21 (number of green pens)
Number of blue pens = x + 3 = 21 + 3 = 24
Answer: Green Pens : 21 and Blue Pens: 24
What is the sum of the 8th square
number and the 5th cube number?
Answers
8 square = 64
5 cube = 125
Step-by-step explanation:
=8² + 5³
=64 + 125
=189
What are square and cube ?
The square of a number is the multiplication by itself. That means, for any integer, we can obtain the square by multiplying the integer itself. For example, the square of an integer 4 will be: 4 × 4 = 16, i.e., the square of 4 is equal to 16.
The cube of a number is the multiplication by itself thrice. That means, for any integer, we can obtain the cube by multiplying the integer by its square. For example, the cube of an integer 5 will be: 52 × 5 or 5 × 5 × 5, i.e., the cube of 5 is equal to 125.
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a pizza shop delivered 8 pepperoni pizzas to a college on the first night of final exams. the total cost of the pizzas was $56. a small pizza costs $3 and contains 4 ounces of pepperoni. a medium pizza costs $5 and contains 9 ounces of pepperoni. a large pizza cost $11 and contains 12 ounces of pepperoni. the owner of the pizza shop used 4 pounds 12 ounces of pepperoni in making the pizzas. how many pizzas of each size were delivered to the college?
Answers
From the word problem given, the number of pizzas each that were delivered are:
1 small7 medium; and2 large.What is the calculation justifying the above solution?
Step I
Let a = number of small pizzas delivered
Let b = number of medium pizzas delivered
Let c = number of large pizzas delivered
Step 2 - Creating relevant expressions based on number and type ordered, we have:
a + b + c = 8.............................1
3a + 5b + 11c = 56..................2
4a + 9b + 12C = 4 * 8 + 12.....3a
We can rewrite (3) as
4a + 9b + 12C = 44 ....3b
Step 3
Multiply both sides of (1) by 4
We have
4a +4b +4c = 32
If we remove (1) from (3) we have4a + 9b + 12C = 44
-
4a +4b +4c = 32
5b +8C = 12......................(4)
Multiply both sides of (1) by 3 and subtract from (2), and we have:
3a + 3b + 3c = 24, removing this from (2) we have
3a + 5b + 11c = 56
-
3a + 3b + 3c = 24
2b + 8c = 32.....................(5)
Step 4 - Subtract (4) from (5)
2b + 8c = 32
-
5b + 8c = 12
-3b = 20
b = - 20/3
= - 6.67
Since we cannot have negative values, we work with absolute value to get:
b [tex]\approx[/tex] 7
Since b = 7
2(7) + 8c = 32
8c = 32 - 14
c = 18/8
c [tex]\approx[/tex] 2
Plug in that back into a we have
a + b + c = 8
a + 7 + 2 = 8
a = 8-9
a = -1 (recall we must have absolute values)
a therefore = 1.
Hence the number of pizzas that were ordered are:
1 small
7 medium; and
2 large.
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6.105 + 10.4 + 3.075 ?
[ this is middle school math, i dont get why it says highschool :/ ]
Answers
Answer:
Step-by-step explanation:
6.105 + 10.4 + 3.075 ? :19.58
Determine whether the graph represents a function.
Answers
Please help me! I will give 50 points! I have a test tomorrow and don't understand how to do this! Please explain step by step
Answers
1) [tex]\angle A \cong \angle D, \angle C \cong \angle E, \overline{AB} \cong \overline{DF}[/tex] (given)
2) [tex]\triangle ABC \cong \triangle DFE[/tex] (AAS)
3) [tex]\angle ACB \cong \angle DEF[/tex] (CPCTC)
The director will share out 18000 as follows
9 office workers will each get £500
The 4 managers will each get at least twice the bonus of an office worker
The directory will get at least 3 times the bonus of an office worker.
Answers
Answer:
Total = £18,000
9 Office workers = £500
4 Managers = 500 × 2 (twice the bonus of an office worker) = £1,000
Directory = 500 × 3 (3 times the bonus of an office worker) = £1,500
In 1787 the French scientist Jacques Charles observed that when he plotted the graph of volume of a fixed amount of air versus the temperature of the air, the points lay along a straight line. Therefore, he concluded that volume of a gas varies linearly with temperature. Suppose that at 27º C a certain amount of air occupies a volume of 500 cm3. When it is warmed to 90º C, it occupies 605 cm3.
a) Write the particular equation in slope-intercept form expressing volume in terms of temperature.
b) Predict the volume at 60º C.
c) The process of predicting a value between two data points is called “interpolation”.
What is the origin of the word?
d) Predict the volume at 300º C.
e) The process of predicting a value beyond any given data points is called
“extrapolation”. What is the origin of this word?
f) Extrapolate your mathematical model back to the point where the volume is zero.
That is, find the temperature-intercept.
g) What is the special name given to the temperature in part f)?
Answers
The relationship between the volume, V, and temperature, T, of a given mass of gas, found by the French scientist Jacques Charles, gives;
a) The slope–intercept form of the equation that expresses the volume in terms of the temperature of the gas is; [tex] \displaystyle{ V = 1. \bar 6 \cdot T + 455}[/tex]
b) The volume at 60 °C is 555 cm³
c) Interpolation originates from the verb interpolare
d) The temperature at 300 °Cis 955 cm³
e) Extrapolation originates from 'extra' (meaning outside) and the shortened form of Interpolation
f) The temperature–intercept is -273 °C
g) The special name is the absolute zero temperature
What is Charles law for gases?Charles law states that the volume of a given mass of gas is directly proportional to its temperature given in Kelvin.
Mathematically, Charles Law states that; V = K•T
Where;
V = The volume of the gas
T = The gas temperature
K = The proportionality constant
The volume occupied by the gas at 27 °C = 500 cm³
The volume occupied at 90 °C = 605 cm³
a) To write the equation in slope–intercept form, we have;
[tex] \displaystyle{ Slope = \frac{605 - 500}{90 - 27} =1. \bar{6} =1. \bar{6}}[/tex]
The equation of the line in point and slope form is therefore;
Point–slope form; [tex] \displaystyle{ V - 500 = 1. \bar{6} \times (T - 27) }[/tex]
[tex] \displaystyle{ V = 1. \bar{6} \cdot T -45 + 500 = 1. \bar{6} \cdot T + 455}[/tex]
The equation in slope–intercept form of expressing the volume, V, in terms of the temperature, T, is therefore;
Volume equation; [tex] \displaystyle{ V = 1. \bar{6} \cdot T + 455}[/tex]
b) The volume at 60 °C is given from the equation that gives the volume, V, in terms of time, T as follows;
[tex] \displaystyle{ V(T) = 1. \bar{6} \cdot T + 455}[/tex]
When T = 60 °C
[tex] \displaystyle{ V(60) = 1. \bar{6} \times 60 + 455=555}[/tex]
The volume occupied by the gas at 60 °C is 555 cm³c) The word interpolate originated from the Latin word interpolare which means to alter or refurbish
d) The volume occupied by the gas at 300 °C is given by the function for the volume, V, in terms of temperature, T, equation as follows;
When T = 300 °C
[tex] \displaystyle{ V(300) = 1. \bar{6} \times 300 + 455 = 955}[/tex]
The volume of the gas at 300 °C is 955 cm³e) Extrapolation originate from the word 'extra' which refers to the outside of an area. Extra is combined with a short form of interpolate to give the word, extrapolation
f) When the volume is zero, the volume function equation can be used to find the temperature as follows;
Volume function; [tex] \displaystyle{ V = 1. \bar{6} \cdot T + 455}[/tex]
When V = 0
[tex] \displaystyle{ V = 0 =1. \bar{6} \cdot T + 455}[/tex]
[tex] \displaystyle{ -455 = 1. \bar{6} \cdot T }[/tex]
[tex] \displaystyle{T = \frac{3 \times (-455)}{5}= -273 }[/tex]
The temperature at which the volume of the gas is zero is -273 °Cg) The special name given to -273 °C of the gas is the absolute zero temperature.
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7:8:9=__:12:__:
please help me
Answers
Answer:
10.5:12:13.5
Step-by-step explanation:
The only two values you know and can compare are 8 and 12, so you have to find the relationship between them. 12/8 = 1.5. To get the two unknown values, you multiply 1.5 by the ones you do know.
7 * 1.5 = 10.5
9 * 1.5 = 13.5
So, you get 10.5:12:13.5
A line has a slope of – 3 and includes the points (5, – 6) and (s, – 3). What is the value of s?
Answers
Answer:
[tex]{ \tt{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \\ { \tt{ - 3 = \frac{ - 3 - ( - 6)}{s - 5} }} \\ \\ { \tt{ - 3(s - 5) = 3}} \\ \\ { \tt{s - 5 = - 1}} \\ \\ { \tt{s = 4}}[/tex]
Multiplicative inverses or ______, is a number that when multiplied by the ___________ gives the product as 1.
Answers
Answer: Multiplicative inverses or reciprocal, is a number that when multiplied by the given number gives the product as 1.
Step-by-step explanation:
a family decides to have children until it has three chil- dren of the same gender. assuming p(b) 5 p(g) 5 .5, what is the pmf of x 5 the number of children in the family?
Answers
one is the pmf or probability mass function of X = number of children in the family
The Probability Mass Function (PMF) is also called a probability function or frequency function which characterizes the distribution of a discrete random variable.
X takes values: { 3, 4, 5 }
where: P ( X = 3 ) + P ( X = 4 ) + P ( X = 5 ) = 1
For X = 3 we have : BBB or GGG.
P ( X = 3 ) = ( 1/2 * 1/2 * 1/2 ) * 2 = 1/8 * 2 = 2 / 8 = 1/4
P ( X = 4 ) = ( 1/2 * 1/2 * 1/2 * 1/2 ) * 6 = 6 /16 = 3/8
P ( X = 5 ) = ( 1/2 * 1/2 * 1/2 * 1/2 * 1/2 ) * 12 = 12 / 32 = 3/8
1 / 4 + 3 / 8 + 3 / 8 = 8 / 8 = 1
the complete question is
A family decides to have children until it has three kids of the same gender. Assuming P(B) = P(G) = 0.5, what is the pmf of X = number of children in the family?
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what is the line that passes through the point -1, four and is parallel to the line 2
X plus Y equals one
Answers
The line that passes through the point -1, four and is parallel to the line 2 X plus Y equals one is y + 2x = 2.
What is a slope?Slope is measure of steepness of a line.
The Equation of line is y = mx + c
where,
m is slope
c is y intercept
To find equation of the parallel line we must first find the slope of the original line
The original line is 2x + y = 1
We must first write equation in the general form above
That's
y = - 2x + 1
Comparing with general equation above
Slope = - 2
Since lines are parallel their slope are also same
Slope of parallel line = - 2
So the equation of line using point
( - 1 , 4) and the slope - 2 is
y-4= -2(x+1)
y-4= 2x-2
y+2x= -2+4
We have final answer as
y + 2x = 2
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if you were to extract 15000 mcubic from a lake each year for 15 years, how far would the lake level fall? total volume of water given as 5400000 m cubic and water depth of the lake is 4 m
Answers
Answer:
[tex]d=0.17m[/tex]Explanation: Each year a volume of 15,000 cubic meters is taken from the lake for 15 years, the lake has a surface area of 1.35 square kilometers and a depth of 4m. We have to find the fall in the depth of the river after 15 years:
The total water taken out of the lake in 15 years is:
[tex]\begin{gathered} T=(15,000m^3)\times15=225,000m^3 \\ \\ T_w=225,000m^3 \end{gathered}[/tex]Therefore the fall in height is:
[tex]\begin{gathered} A\times d=(225,000m^3) \\ \\ \\ A=1.35km^2=1,350,000m^2 \\ \\ \\ A=1,350,000m^2 \\ \\ \\ \therefore\Rightarrow \\ \\ \\ (1,350,000m^2)d=(225,000m^3) \\ \\ \\ \\ d=\frac{(225,000m3)}{(1,350,000m^2)}=0.1666666666 \\ \\ \\ \\ d\approx0.17m \\ \end{gathered}[/tex]Therefore the height of the lake will reduce by 0.17me.
need help with this, thanks
Answers
When lines cross, two pairs of vertical angles are created. These angles are equal in measure. When you set these angles equal to each other, you can solve for x and y.
See details:
Answer:
[tex]x=\boxed{13}\\\\y=\boxed{20}[/tex]
Step-by-step explanation:
Vertical Angle Theorem
When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent.
Solving for x:
[tex]\boxed{\begin{aligned}(6x-26)^{\circ}&=4x^{\circ}\\6x-26&=4x\\6x-26+26&=4x+26\\6x&=4x+26\\6x-4x&=4x+26-4x\\2x&=26\\2x \div 2&=26 \div 2\\x&=13\\\end{aligned}}[/tex]
Solving for y:
[tex]\boxed{\begin{aligned}(7y-12)^{\circ}&=(6y+8)^{\circ}\\7y-12&=6y+8\\7y-12-6y&=6y+8-6y\\y-12&=8\\y-12+12&=8+12\\y&=20\end{aligned}}[/tex]
Therefore:
[tex]x=\boxed{13}\\\\y=\boxed{20}[/tex]
Question 8 of 10
Which choices are equivalent to the expression below? Check all that apply.
√5 √5
●
A. √5
B. √5.5
C. 5
☐D. 10
E. 25
F. √25
Answers
expression :
[tex]\sqrt{5} \sqrt{5}[/tex] = [tex]\sqrt{5X5} = \sqrt{25} = 5[/tex].
What is a square root?In mathematics, the square root is a factor that, when multiplied by itself, equals the original integer.The radical symbol used to denote a number's root is "[tex]\sqrt{x}[/tex]" The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.It is easy to determine a number's square. To determine the given number's square, we must multiply it by itself. [tex]x^{2}[/tex] integer is always used to denote the square term.To learn more about : Square and Root
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Drag the tiles to the correct boxes. Not all tiles will be used.What are the domain and the range of function ?3-5f)2 - 3 - 18=(-00, -3) U(-3,0)(-o, -3U-3, 6) U6, có)(-0, 6) U (6,00)(-ao, -5) U(-5, 3) U3, có)(co, 0) U6, 3) Uề, có)(-0, 0) U(0, 0)rangedomai
Answers
The Solution:
Given the function:
Required:
To determine the domain and the range of the function.
Below is the graph of the function:
Step 1:
The domain of the function is:
[tex](-\infty,-3)\cup(-3,\infty)[/tex]Step 2:
The range of the function is:
[tex](-\infty,0)\cup(0,\infty)[/tex]Therefore, the correct answer is :
[tex]undefined[/tex]Write an algebraic expression to represent each statement.
the number, b, divided by thirty-six
Answers
Write an algebraic expression to represent each statement.
the number, b, divided by thirty-six
b/36
the hypotenuse of a right triangle measures 16 cm and one of its legs measures 5 cm. Find the measure of the other leg.
Answers
Step-by-step explanation:
Use the Pythagorean Theorem.
a^2+b^2=c^2
a^2 + 5^2 = 16^2
a^2 + 25 = 256
a^2 = 231
a = square root of 231
a= 15.20
Answer:15.20
Step-by-step explanation:
Rachel earns 52 dollars per week working part-time at a book store. She makes one dollar more for each book that she sells. The amount, A (in dollars), that
Rachel earns in a week if she sells b books is given by the following function.
A (b) = 52+b
How much does Rachel earn in a week if she sells 37 books?
dollars
X
Ś
Answers
Answer:
Step-by-step explanation:
x
The 43rd Term of Ap 26 Find The first tom of the progress in given that is common difference is 1/2 Two Aps have same first &last term
Answers
The first term of the arithmetic progression is 5
What is an arithmetic sequence?An arithmetic sequence can simply be defined as a sequence of numbers or terms in which the differences between successive or consecutive terms are always equal.
The formula for the nth term of an arithmetic sequence is expressed as;
Tn = a + (n-1)d
Where;
Tn is the nth term of the sequencea is the first term of the sequencen is the number of termsd is the common difference between successive termsGiven that the first term of the sequence is a, the 43rd term is 26 and the common difference is 1/2
Substitute the values into the formula
26 = a + (43 -1)1/2
expand the bracket
26 = a + (42)1/2
Multiply through
26 = a + 21
collect like terms
a = 26 - 21
a = 5
Thus, the value is 5
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Which of the following does the Pythagorean Theorem reveal
Answers
According to the Pythagorean theorem, "in a right-angled triangle, the squares of the hypotenuse side is equivalent to the sum of squares of the other two sides," the hypotenuse side is the longest side of the triangle.
This is further explained below.
What is Pythagorean Theorem?Generally, The Pythagorean theorem is a well-known geometric theorem that states the number of squares just on the legs of a right triangle is equal to the square just on the hypotenuse (the side that is opposite the right angle).
This theorem can also be expressed in the familiar algebraic notation of a2 + b2 = c2, where a and b are the lengths of the legs of the triangle.
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is an essential connection in Euclidean geometry that describes the relationships between the three sides of a right triangle.
It indicates that the total of the areas of the squares on the other two sides is equal to the area of the square whose side is the hypotenuse.
In conclusion, This means that the area of the square whose side is the hypotenuse is equal to that amount.
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CQ Not found: Answered Generally
Which among the given set is a function A = [(4,6), (A, B), (A, 6)]C = {(6,9), (6,6), (6,9)B = [(1, Z), ( 2, Y), (3, X)]
Answers
The set which is a function is B = [(1, Z), ( 2, Y), (3, X)]
What is a function ?
Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Since, we know that function does not repeat any x coordinate
Which means, the first coordinate of every pair does not repeat
Therefore the first coordinates which is repeated is not a function
Now, let's check out the given sets and check whether its a function or not
A = [(4,6), (A, B), (A, 6)], is not a function
Since, its first coordinate is repeated
C = {(6,9), (6,6), (6,9), is not a function
Since, its first coordinate is repeated
B = [(1, Z), ( 2, Y), (3, X)], is a function
Because, its first coordinate is not repeated
Hence, B = [(1, Z), ( 2, Y), (3, X)], is a function
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. Describe and correct the error in finding the sum.
X
8 65+ (−16)
(-1)
15
30
6
+
8
15
=
13
6
+
||
11
49
30
19
= 1-
30
It’s the super long problem, sorry I couldn’t crop the other stuff out
Answers
Answer: see below
Step-by-step explanation:
I can’t see the whole problem, however 2 and 5/6 does not equal 13/6, it equals 17/6, if that helps.
how do i answer this?????
Answers
answer:
8.037m
step-by-step explanation:
the total of two or more addends is the sum of the numbers added.
your two addends are 5.89 and 2.147, so add them together.
5.89+2.147
=5.89+2.147
=8.037
the answer is 8.037m
Determina el valor de un número negativo tal que la suma de
ese número y su cuadrado es 42.
Answers
The value of a negative number such that the sum of that number and its square is 42 is -7.
What are negative numbers?A negative number is one that always has a value lower than zero and is denoted by the minus (-) symbol. On a number line, negative numbers are displayed to the left of zero. Negative numbers include -6 and -15 as examples.Let the negative number be -x.
According to the question, the sum of the negative number and its square is 42.
So, we form an equation
- x + (-x)² = 42
x² - x - 42 = 0
Solving the quadratic equation,
x² - 7x + 6x - 42 = 0
x(x - 7) + 6(x - 7) = 0
(x - 7)(x + 6) = 0
x = -6 and x = 7
We have taken the number -x to be negative.
So, -x = -6 and -x = 7
x = 6 and x = -7
Hence, the value of the negative number is -7.
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The correct question is: "Determine the value of a negative number such that the sum of that number and its square is 42."