The correct answer is option D
3(c) - 2 represents the total cost of three dance tickets at a cost of c each, less a one-time $2 discount.
Explanation:A linear equation is one with a leading degree of one.A linear equation is an algebraic equation With only a constant and a first-order (linear) term of the formy = mx+b, where m is the slope and b is the y-intercept.
The above is sometimes referred to as a "linear equation of two variables," where y and x are the variables.Based on the question. We have the parameters listed below.
The total cost of three dance tickets is 3c (at c for each)
One-time offer = $2
Because discounts are always subtracted from the total cost,
the equation represents,
the total cost of three dance tickets at a cost of c each, less a one-time discount $2
= 3(c) - 2
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.............................................
Multiply. Write your answer as a fraction in simplest form. −2(−1 1/4)=
The simplest form is [tex]\frac{11}{2}[/tex] .
What is a fraction?fraction, In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given that,
−2(−1 1/4)
Multiplying the numerator with numerator and denominator with denominator. According to integer multiplication of two negative terms is always positive.
= [tex]\frac{22}{4}[/tex]
The simplest form = [tex]\frac{11}{2}[/tex]
Hence, The simplest form is [tex]\frac{11}{2}[/tex] .
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The graph of a function h Is shown below.
Find one value of x for which h (x)=-4 and find h (1).
(a)
(b)
One value of x for which h(x) =
h(1) =
= -4:
X
3
Step-by-step explanation:
the picture asks for similar things as your text but got other numbers.
let's do both.
first the picture :
find g(0) and one value of x for which g(x) = 0.
g(0) means that x = 0.
so, we find x = 0 on the x-axis (it is where the y-axis intersects) and then go straight up or down until we meet or intersect the function curve.
in our case we go up and intersect the curve at y = 2.
and that is the result.
y = g(x), it is a named variable for the function result, nothing else.
so,
y = g(0) = 2
to find a value of x for which g(x) = 0 means we go along the x-axis (these are all the points for which y = 0) until the x-axis intersects with the curve.
and that is here at x = -1.
now for your text :
we repeat the same principles.
but now, we need to use imaginary lines that go parallel to the x- and y-axis.
your text now calls the function h(x), but since I have no other information, I assume it is the same line function in the picture.
for which value of x is h(x) = -4 ?
remember, y is just the variable that stands for the function result.
so, we are asking for
y = h(x) = -4
imagine a horizontal line through y = -4.
where does it intercept the line h(x) ?
at that point we go straight up or down (in our case up) to the x-axis and read the x-value there : -3
so,
y = h(-3) = -4
to find h(1) we find x = 1 on the x-axis, and from there we go straight up or down (in our case up) parallel to the y-axis until we intersect the function curve.
from there we go straight left out right (in our case left) to the y-axis and read the y-value there : 4
so,
y = h(1) = 4
solve the following system of equations. 2y = -8x - 12
y = 2x^2 + 4x + 2
Answer: x = -2 y = 2
Step-by-step explanation:
There are different ways to solve systems of equations. I will set them equal to each other.
First, I have to divide 2 from both sides of the first equation, which gives
y = -4x - 6
Now I can set them equal to each other and solve for x.
-4x - 6 = 2x^2 + 4 x + 2
0 = 2x^2 + 8x + 8
Now we factor it. If you cannot see the factors right away, you can use the quadratic formula, but I see that
(2x+4)(x+2) = 2x^2 + 8x + 8 = 0
so, because (2x+4)(x+2) = 0, one (or both) of the parenthesis must equal zero.
Solve for each parenthesis.
2x+4=0 => 2x = -4 => x = -2
x+2=0 => x = -2
As we see here, there is only one value for x. Now we can plug it into either one of the original equations. I'll do the first since there are no squares.
2y = -8(-2) -12
2y = 16 - 12
2y = 4
y = 2
The Quadrilateral ABCD has the vertices A (-5,4), B (0,6), C (1,3), and D (-4,1) how do I determine whether it classifys as a parallogram. Help me please
The given vertices when plotted gives a parallelogram.
What is a parallelogram?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
To solve this problem, we simply need to plot the vertices and check if the opposite sides are equal to each other.
Kindly find the attached image of the parallelogram below.
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Please help! Attachment is above
I can’t figure out 6 and 10
The solution of m for question 6 and the value of z for question 10 does not exist.
According to the question,
We have the following information,
6) 1/3 + 2m/3 = 2m/3-2/3
Now, moving the terms with the same variables in one side:
2m/3-2m/3+1/3 = -2/3
Now, when 2m/3 is subtracted from 2m/3 then we have no variable left.
So, the solution of this equation does not exist.
10) 2.5(2z+5) = 5(z+2.5)
Now, multiplying the numbers outside the bracket into bracket:
5z+12.5 = 5z+12.5
Moving the terms with the same variables on one side:
5z-5z+12.5 = 12.5
Now, when 5z is subtracted from5z then we have no variable left.
So, the solution of this equation does not exist.
Hence, the solutions of the equation 6 and equation 10 does not exist.
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Which expression is equivalent to 6(x – 4)Zoe, Latoya, Christina, and Rhoda each used a different method to verify that Negative 2 (3 x minus 12) = negative 6 x + 24
Answer:
Rhoda
Step-by-step explanation:
sub same values of x into both expressions. The expressions are equivalent if the values of the expressions are equal
the monthly income of residents of daisy city is normally distributed with a mean of $3398 and a standard deviation of $571. the highest tax bracket applies to 3.67% of residents. what is the income a person must make to be in the highest income bracket?
The income a person must make to be in the highest income bracket $4420.09 using standard deviation
What is standard deviation?
The standard deviation is a statistician's way of gauging how much a group of numbers can vary or be dispersed. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high.
As per the question,
mean = u = $3398
standard deviation = σ = $571
Using standard normal
P(Z > z) = 3.67%
1 - P(Z < z) = 0.0367
P(Z < z) = 1 - 0.0367
P(Z < 1.79) = 0.9633
z = 1.79
Using z-score formula,
x = z * σ + u
x = 1.79 * 571 + 3398
= 4420.09
Hence the total income is $4420.09 using standard deviation.
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the base-ten representation for 19!19! is 121121, 6t56t5,100100,40m40m, 832832, h00h00, where tt, mm, and hh denote digits that are not given. what is t m ht m h?
the base-ten representation for 19! = 121,6T5,100,40M,832,000 then
H+M+T =12
19! has three 5s so it will end with three 0s.
Hence H = 0
19! = 121,6T5,100,40M,832,000 = 121,6T5,100,40M,832 * 1000
19! has many 2s. So M832 will be divisible by 16 (last 4 digits).
So M000 + 832 is divisible by 16. 832 is completely divisible by 16. Since 16*5 = 80, 8000 must be divisible by 16.
M = 8
19! = 121,6T5,100,408,832,000
Since 19! is divisible by 9, sum of all digits must be divisible by 9.
1+2+1+6+T+5+1+4+8+8+3+2 = T + 41
To make this divisible by 9, T must be 4.
H+M+T = 0 + 8 + 4 = 12
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Select the correct answer.
The table shows the cumulative number of minutes Alice practices clarinet for the first part of the school year:
Weeks Minutes
2 300
3 450
4 600
5 750
6 900
7 1,050
8 1,200
The values will be graphed on the given coordinate plane.
A graph shows the Weeks on the x-axis and the Minutes on the y-axis.
Which is the most appropriate choice of origin and scale for this graph?
A.
x-axis scale: 1 unit = 1 week
y-axis scale: 1 unit = 150 minutes
origin: (0 weeks, 0 minutes)
B.
x-axis scale: 1 unit = 1 week
y-axis scale: 1 unit = 50 minutes
origin: (2 weeks, 300 minutes)
C.
x-axis scale: 1 unit = 2 weeks
y-axis scale: 1 unit = 150 minutes
origin: (2 weeks, 300 minutes)
D.
x-axis scale: 1 unit = 2 weeks
y-axis scale: 1 unit = 50 minutes
It is to be noted that Option A is the most appropriate choice of origin and scale for this graph.
What is a graph?In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.
Note that we are given the following:
Week: 2 3 4 5 6 7 8
Minutes: 300 450 600 750 900 1050 1200
The difference between two cumulative weeks is one week, while the difference between two cumulative minutes is 150.
Plotting the graph between minutes and weeks we can get the most suitable scale is
x-axis scale: 1 unit = 1 week
y-axis scale: 1 unit = 150 minutes
Assuming we extend the table to the left to reflect the origin, we'll obtain
Week 0 1 2...............8
Minutes 0 150 300..........1200
Hence, The origin ⇒ (0 weeks, 0 minutes)
From the above, therefore, the most suitable choice of origin and scale is:
x-axis scale: 1 unit = 1 week
y-axis scale: 1 unit = 150 minutes
origin: (0 weeks, 0 minutes)
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The scale on the x-axis should be 1 unit equal to 1 week and the scale on the y- axis should be 1 unit = 150 minutes. Option A is correct.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
As observing the data, the data mentioned in the table is represents the linear relationship.
Slope of the function = 450 - 300 / 3 - 2 = 150
This implies that for 1 week there is 150 minutes on the graph of the relationship,
Thus, the scale on the x-axis should be 1 unit equal to 1 week and the scale on the y- axis should be 1 unit = 150 minutes.
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Triangle ABC has side lengths of AB = 16 and BC = 30 and hypotenuse AC = 34. Find the sin, cos, and tan for A.
In the given right-angled triangle, the sine, cosine, and tan of the angle A are: sin A =0.88, cos A = 0.4705, tan A= 1.875
We have a right angles triangle ABC with AC as the hypotenuse and AB and AC as the other two sides.
Given, hypotenuse AC=34, side BC = 30, side AB = 16
∴From the formulae for evaluating sin, cos, and tan of an angle
sin A[tex]=\frac{opposite}{hypotenuse}= \frac{BC}{AC}=\frac{30}{34}=\frac{15}{17}=0.88[/tex] (1)
cos A[tex]= \frac{adjacent}{hypotenuse} =\frac{16}{34}=\frac{8}{17}=0.4705[/tex] (2)
tan A[tex]=\frac{OppositeSide}{AdjacentSide}=\frac{30}{16}=\frac{15}{8}=1.875[/tex] (3)
Thus sin A= 0.88, cos A= 0.4705, tan A= 1.875
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a biologist studying florida bass observed a quadratic relationship between the lengths and weights of fish in a large sample. the biologist took the base 101010 logarithm for the values of both variables, and they noticed a linear relationship in the transformed data. here's the least-squares regression equation for the transformed data, where weight is in kilograms and length is in centimeters. \widehat{\log(\text{weight})}
Answer:
We're given a least-squares regression equation that we can use to predict weight (in kilograms) from a given length (in centimeters). The question asks to predict the weight of a fish that is 70cm long, so let's plug in 70 for "length" and solve for the predicted weight: logweight = 3.08 (log length) -5.07
(logweight) 3.08 (log 70) - 5.07
(logweight) ≈ 3.08 (1.84) - 5.07
log weight ≈ 0.613
Next, we use the fact that these are base 10 logarithms and the definition of a logarithm to solve for the predicted weight:
log₁₀ (weight) ≈ 0.613
Taking logarithms on both sides
weight ≈ 10₀.₆₁₃
weight ≈ 4.1
According to this model, the predicted weight for a 70 cm long Florida bass is about 4.1kg.
The pentagons ABCDE and JKL MN are similar.
Find the length x of JK.
C
3
B
N
D
4
E
3
A
7
2.1
1.4
K
M
X
2.8
N
2.1
J
Answer:
3.5
Step-by-step explanation:
find the ratio between any two corresponding sides. for example : 1.4/2 = 0.7
this should be the same number for all sides
thus 5 * 0.7 = 3.5
Answer:
23456892245u
Step-by-step explanation:
Allah sh all will am am well ram chirac flow
PLEASE HELP WITH WORK SHEET PUT NUMBERS BY THE ANSWER PLEASE AND THANK YOU
Answer:
Step-by-step explanation:
what is the probability a sample of 49 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the evidence-based reading and writing part of the test?
The likelihood or probability that the population mean evidence-based reading and writing test score of 533 will be within 10 points of the sample mean test score provided by a sample of 49 test takers is 0.274.
From the given information, we have:
The population mean, μ = 533
The sample size, n = 49
The population standard deviation, σ = 100
The standard deviation for X is:
= 100/√49 = 14.2857142857
Normal distribution with mean 533 and SD of 12.3091
P( 523 <x< 543 )
Z = 10 ÷ 14.2857142857
Z = 0.7, - 0.7
P( z < 0.7 ) - P( z < - 0.7 )
= 0.75804 - 0.48393
= 0.27411
The required probability is 0.274.
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The complete question is mentioned below:
A certain organization reported the following scores for two parts of the scholastic Aptitude test ( SAT)
Evidence-based Reading and writing: 533
Mathematics : 527
Assume the population standard deviation for each part is σ = 100.
What is the probability a sample of 49 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the Evidence-based Reading and Writing part of the test?
A side of the triangle below has been
extended to form an exterior angle of 64°.
Find the value of x.
16⁰
Answer:
X =
64°
xº
The measure of the interior angle x is 48°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
We know that sum of all the interior angles of a triangle is 180°.
The measure of an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Given, An exterior angle that measures 64° and two opposite interior angle measuring 16° and x°.
∴ x° + 16° = 64°.
x = (64 - 16)°.
x = 48°.
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Tori spends equal amounts of time on homework from each of her subjects. She spends 1 hour altogether on her homework each night. If Tori spends 1/4 an hour on Chemistry. How many subjects does she study?
Answer:
Tori studies 4 subjects (including Chemistry)
WHAT IS THIS ANSWER I NEED HELP PLSSS :(
Answer:
6.9
Step-by-step explanation:
6 4/5 in decimal form is 6.8.
6.9 is higher than 6.8 but lower than 7.
Find the missing number so that the equation has no solutions.
-4x - 15 = X-7
Answer:4 and 3
Step-by-step explanation:
A person walked 2.5 miles in 45 minutes, then jogged 1.5 more miles in 20 minutes. What was
the person's average speed in miles per minute?
The person's average speed is 15.65 miles per minute.
What is average?The definition of the average is the mean value, which is the ratio of the sum of the values in a given set to the total number of values in the set. The mean is typically meant when the word "average" is used in a mathematical context, especially when no other context is provided. Divide the total by the quantity of numbers after averaging the numbers. (The value(s) total divided by the value(s) total).
Given Data
A person walked 2.5 miles in 45 minutes, then jogged 1.5 more miles in 20 minutes.
Speed = [tex]\frac{Distance}{Time}[/tex]
Speed while walking = 18
Speed while jogging = 13.3
Average = [tex]\frac{18 +13.3}{2}[/tex]
Average = [tex]\frac{31.3}{2}[/tex]
Average = 15.65
The person's average speed is 15.65 miles per minute.
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Which equation best represents the relationship between x and y in the
graph?
The equation y + 2x = 3 best represents the relationship between x and y in the graph.
We are provided with the graph shown in question. We were supposed to find the equation of the line shown in the graph. From this graph we can clearly see that the line is passing through ( 1.5 , 0 ) and ( 0 , 3 ).
The equation of line passing through two points is given below:
[tex](y - y_{1}) = (\frac{y_{2}-y_{1} }{x_{2}-x_{1} }) (x - x_{1} )[/tex]
As the line is passing through points ( 1.5 , 0 ) and ( 0 , 3 ) , so we can write the above equation as
( y - 0 ) = ( ( 3 - 0 )/( 0 - 1.5 ) ) ( x - 1.5 )
y = -2 ( x - 1.5 )
y = -2x + 3
y + 2x = 3
The required equation of line is y + 2x = 3 i.e., this equation best represents the relationship between x and y in the graph.
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The graph shows a linear relationship between x and y. What is the rate of change of y with respect to x for this function?
A) 2
B) -2
C) -1/2
D) 1/2
Answer:
A
Step-by-step explanation:
the slope of the line is a measure of the rate of change.
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line
m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2
the rate of change of y with respect to x is 2
Answer:
A) 2
Step-by-step explanation:
Rise over run,
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]
-2 will be [tex]x_{1}[/tex] and -3 will be [tex]y_{1}[/tex]
2 will be [tex]x_{2}[/tex] and 5 will be [tex]y_{2}[/tex]
It doesn't matter which order you place the points, for [tex]x_{1}[/tex], or [tex]x_{2}[/tex] but [tex]x_{1}[/tex] and and [tex]y_{1}[/tex] must be one point while [tex]x_{2}[/tex] and [tex]y_{2}[/tex] must be one point.
Then, we replace the values to find:
[tex]\frac{5-(-3)}{2-(-2)}[/tex]
We then simplify this expression to [tex]\frac{8}{4} = 2[/tex]
Therefore, our slope for this function is 2
-10=5/7(-7)+b
Solve for B
Answer: b = -5
Step-by-step explanation:
-10 = 5/7 (-7) +b
-10 = -5 + b
-5 = b
Bananas are priced at $0.39 per pound. If Harvey buys 7 pounds of bananas, whatwill he expect to pay?
Answer:
He is expected to pay $2.73
Explanation:
We can solve this, by adding 0.39 7 times:
[tex]2\text{ }pounds\text{ }of\text{ }bananas:0.39+0.39=0.78[/tex][tex]3\text{ }pounds\text{ }of\text{ }bananas:0.78+0.39=1.17[/tex][tex]4\text{ }pounds\text{ }of\text{ }bananas:1.17+0.39=1.56[/tex][tex]5\text{ }pounds\text{ }of\text{ }bananas:1.56+0.39=1.95[/tex][tex]6\text{ }pounds\text{ }of\text{ }bananas:1.95+0.39=2.34[/tex][tex]7\text{ }pounds\text{ }of\text{ }bananas:2.34+0.39=2.73[/tex]Thus, 7 pound of bananas cost $2.73
19. Choose all expressions that are equal
to 15.02.
12.96 + 2.06
0.56 +14.64
2.62 +12.4
1.22 +1.8+12
1+0.5 +13.8
Sum expressions are true and some are false.
What does a math expression mean?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical functions. An expression's format is as follows: Expression: (Math Operator, Number/Variable, Math Operator)a) Calculate the sum or difference = 15. 02
Check equivalency = True
Answer: True
b)Calculate the sum or difference = 15.02
Check equivalency = False
Answer: False
c)
Calculate the sum or difference = 15.02
Check equivalency =True
Answer: True
d)
Calculate the sum or difference = 3.02+12
Calculate the sum or difference = 15.02
Check equivalency: True
Answer: True
e)
Calculate the sum or difference = 1.5 + 13.8
Calculate the sum or difference = 15.3
Check equivalency: False
Answer: False
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Complete the point-slope equation of the line through (-4,8)(−4,8)left parenthesis, minus, 4, comma, 8, right parenthesis and (4,4)(4,4)left parenthesis, 4, comma, 4, right parenthesis.
The point slope equation of the line that passes through the points (-4,8) and (4,4) is x + 2y = 12 .
The point slope form of the line passing through the points (x₁,y₁) having slope as m is given by the formula .
y-y₁ = m(x-x₁)
In the question ,
it is given that
the required line passes through the points (-4,8) and (4,4) ,
So , the slope(m) is = (4-8)/(4-(-4)
= -4/8
= -1/2
the equation of the line passing through (4,4) and slope as -1/2 in the point slope form is
(y-4) = -1/2(x-4)
y - 4 = (-x + 4)/2
2y-8 = -x + 4
x + 2y = 12
Therefore , The point slope equation of the line that passes through the points (-4,8) and (4,4) is x + 2y = 12 .
The given question is incomplete , the complete question is
Write the point slope equation of the line that passes through the points (-4,8) and (4,4) .
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Answer:
y - 4 = -1/2 (x-4)
Step-by-step explanation:
thats the answer on khan
please help, please omg
Answer:
Step-by-step explanation:
I believe the equation would be 3(f-5)=60.
The answer to that equation would be:
3(f-5)-60
3f-5=60 Open parentheses
3f=60+5 Take 5 to the other side
3f=65 Add 60 and 5
f=65/3 Divide the sum of 60 and 5 with 3
f=21.6 Answer
C = -5
-2c -2c
————-
2c
Evaluate the expression
Solve the equation 3(n + 3) = -4n+ 30.
Answer:
n= 3
Step-by-step explanation:
3(n+3)= -4n+30
3n+9= -4n +30 expand
7n+9 = 30 +4n to both sides
7n = 21 -9 from both sides
n= 3 divide by 7 on both sides
The points (6, −2) and (h, −3) fall on a line with a slope of 1. What is the valu
h =
============================================================
Explanation:
m = 1 is the given slope
(x1,y1) = (6,-2) and (x2,y2) = (h,-3) are the two points on a line of slope 1.
Let's use the slope formula to find h
[tex](x_1,y_1) = (6,-2) \text{ and } (x_2,y_2) = (h,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\1 = \frac{-3 - (-2)}{h - 6}\\\\1 = \frac{-3 + 2}{h - 6}\\\\1 = \frac{-1}{h-6}\\\\1(h-6) = -1\\\\h-6 = -1\\\\h = -1+6\\\\h = 5[/tex]
------------------
The point (h,-3) updates to (5,-3).
The slope of the line through (6,-2) and (5,-3) is 1.
Use the slope formula to confirm this.
[tex](x_1,y_1) = (6,-2) \text{ and } (x_2,y_2) = (5,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-3 - (-2)}{5 - 6}\\\\m = \frac{-3 + 2}{5 - 6}\\\\m = \frac{-1}{-1}\\\\m = 1\\\\[/tex]
The answer is confirmed.