Answer:
(−12,2)
Step-by-step explanation:
1:
Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value
(4) and divide it by 2 to get 2
.
Therefore, the new point is
(−12,2)
2:
Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value
(−12) to get −10
.
Therefore, the new point is
(-10,4)
3:
Making the input of the function negative will multiply every x-value by
−
1
. To get the new point, we will take the x-value
(−12) and multiply it by −1 to get 12.
Therefore, the new point is
(12,4)
4:
Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value
(−12) by 4 to get −3
.
Therefore, the new point is
(−3,4)
5:
Multiplying the whole function by
4
increases all y-values by a factor of
4
, so the new y-value will be
4
times the original value
(4), or 16.
Therefore, the new point is
(−12,16)
6:
Multiplying the whole function by
−1
also multiplies every y-value by
−1
, so the new y-value will be
−1
times the original value
(4), or −4.
Therefore, the new point is
(−12,−4)
A staff member lives in Bermondsey and has to be in Birmingham for 10.45 am. It will take her an hour from her home to get to Euston station, for Birmingham train. The journey from Euston to Birmingham takes an hour and ten minutes.Trains to Birmingham run at 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. The venue is a 5-minute walk from the station. What is the latest time that the staff member can leave home to make it in time for the meeting in Birmingham ?
The latest time that the staff member can leave home to make it in time for the meeting in Birmingham is 8.30 am.
Time
Time is used to quantify, measure or compare the duration of events or the intervals between them, and even, sequence events.
Given,
A staff member lives in Bermondsey and has to be in Birmingham for 10.45 am.
Here we need to find the latest time that the staff member can leave home to make it in time for the meeting in Birmingham
From the given details we know identified that,
The staff members has to be present in Birmingham at 10.45am.
But they are all in Bermondsey, it will take 1 hour 10 mins travel to arrive the destination.
So, the time before 1 hour is 9.35 am.
The travel time between train station from home is 1 hour is,
So, the time is 8.35 am.
Venue distance is 5 minutes from station.
So, when we include this then the time to leave the home is,
=> 8.30 am.
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WILL GIVE BRAINIEST TO THE FRIST CORRECT ANSWER I SEE!!!!!!!!!!!!!!!
Five friends ate lunch and spent a total of $63.75. They each bought the same meal for $9.75, and they each bought the same dessert.
Write and solve an equation to determine the cost of the dessert, d.
5(9.75)d = 63.75; d = 1.31
5(9.75 + d) = 63.75; d = 3.00
5d + 9.75 = 63.75; d = 10.80
5(9.75) + d = 63.75; d = 15.00
The written and solved equation to determine the cost of the desserts, d is 5(9.75 + d) = 63.75; d = 3.00
How to write and solve equations?Five friends ate lunch and spent a total of $63.75.
They each bought the same meal for $9.75, and they each bought the same dessert.
The equation to determine the cost of the dessert, d can be represented as follows:
They are 5 friends,
Hence,
5 (9.75 + d) = 63.75
48.75 + 5d = 63.75
Therefore, let's use the equation to solve for d.
48.75 + 5d = 63.75
63.75 - 48.75 = 5d
15 = 5d
divide both sides by 5
15 / 5 = 5d / 5
d = 3
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Trapezoid W’X’Y’Z’ is the image of trapezoid W’ X’ Y’ Z’ under a dilation though point c
The scale factor used in the dilation through point c is 3/4.
Using the Scale Factor, shapes in various dimensions can be scaled. In geometry, we examine a wide variety of two- and three-dimensional geometrical forms.
Comparing figures with similar appearances but different scales or measures is possible using the scale factor. Take into account two circles that resemble one another but could have various radii. The scaling factor shows how much a figure has grown or shrunk from its starting point.
Any original shape can be designed as an extended or condensed version by using a scaling factor. In the equation y = Kx, K is the scaling factor for x.
The scale factor formula is provided by:
dimensions of the first form x scale Factor = Dimension of new shape
Scale factor equals Dimension of New Shape divided by Dimension of Original Shape
Given, dimension of trapezium WXYZ = 8 m
Dimension of trapezium W'X'Y'Z' = 6 m
Using above literature and necessary assumptions:
WXYZ * scale factor = W'X'Y'Z'
Therefore, scale factor = W'X'Y'Z'/WXYZ ⇒ scale factor = 6m/8m = 3/4
Thus, the scale factor is 3/4.
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1. Solve the inequality.
6x2 – x<2
Please show your work using methods learned in unit 1:
1) Factor
2)Discover the interval or intervals as learned in this unit.
3) Use a number line to graph.
4)State your answer in interval notation.
The solution of the inequality expression in interval notation is;
-1/2 < x < 2/3 and the number line is attached
How to solve the Inequality?We are given the Inequality expression as;
6x² - x < 2
To express the function in quadratic form, we subtract 2 from both sides to get;
6x² - x - 2 < 0
We now factorize this expression to get;
(2x +1)(3x - 2) < 0
This means that we have two inequalities solution which are expressed as; (2x + 1) < 0 and (3x - 2) < 0
For (2x + 1) < 0, add 1 to both sides to get;
2x < 1
divide both sides by 2 to get;
x < 1/2
Similarly, for (3x - 2) < 0;
Add 2 to both sides and then divide by 3 to get;
x < 3/2
Thus, the solution to the inequality is x = -1/2 and x = 3/2
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Which of these is the best approximation for square root 7?172.63.012.2
the value of 2 [3 (x^2 - 5) + 5y] when x = 9 and y = 3. A. 729.
[tex] = 2(3( {(9})^{2} - 5) + 5(3)) \\ = 2(3(81 - 5) + 15) \\ = 2( 3(76) + 15) \\ = 2(228 + 15) \\ = 2(243) \\ = 486[/tex]
ATTACHED IS THE SOLUTION
YOU DID NOT PROVIDE FULL OPTIONS THEREFORE I WON'T BE ABLE TO CHOOSE.
GOODLUCK .
Add the polynomials?
What is -3/4 plus -1/6
Answer:
-11/12
Step-by-step explanation:
0.0379 rounded to the nearest whole number ?
Answer: 0
Step-by-step explanation: We have to 2 answers to choose between, 0 and 1. 0.0379 is closer to 0 because if your decimal was more than 0.5 it would round to 1 as its nearest whole number. Hope this helps!
1=0.76r-9-0.36r[tex]1 = 0.76r - 9 - 0.36r[/tex]
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Send it please
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1 = 0.76r - 9 - 0.36r
1 + 9 = 0.76r - 0.36r
Simplify like terms
10 = 0.4r
Solve for r
r = 10/0.4
r = 25
Result
r = 25
b)
[tex]\begin{gathered} \text{ -5 = }\frac{1}{4}z\text{ - 20 + }\frac{1}{2}z \\ \text{ -5 + 20 = }\frac{1}{4}z\text{ + }\frac{1}{2}z \\ \text{ 15 = }\frac{1\text{ + 2}}{4}z \\ \text{ 15 = }\frac{3}{4}z \\ \text{ 15x4 = 3z} \\ \text{ 60 = 3z} \\ \text{ z = }\frac{60}{3} \\ \text{ z = 20} \end{gathered}[/tex]Result
z = 20
You have 40 stickers. Twenty-four of the stickers glow in the dark. What fraction of stickers, in fifths, do not glow in the dark?of the stickers
If 24 out of our 40 stickers glow in the dark, we would have 16 that don't
As a fraction relative to our total 40 stickers, those 16 would be:
[tex]\frac{16}{40}[/tex]Simplifying,
[tex]\frac{16}{40}\rightarrow\frac{2}{5}[/tex]hereby, 2/5 of the sticketrs don't glow in the dark
may anyone help me please?
Answer: 20 is the answer hope you have a great day
!!!!!
Step-by-step explanation:
Find the volume of composite solid.
The volume of the given cylinder is 37.68ft³.
What is a cylinder?The three-dimensional shape of a cylinder is made up of two parallel circular bases connected by a curved surface. The right cylinder is created when the centers of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centers. Real-world examples of cylinders include toilet paper rolls and cold beverage cans.So, according to the given image, the given solid is a cylinder.
The formula for the volume of cylinders is V = πr²hHeight is 3ft and D is 4ft so r will be 2 ft.Now, insert values in the formula as follows:
V = πr²hV = π2²3V = π4(3)V = 12πV = 37.68 (Let, π be 3.14)Therefore, the volume of the given cylinder is 37.68ft³.
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A bond with a face value has a current yield of 7% and a coupon rate of 8%. What is the bonds price?
Using it's formula, the bond's price in the context of this problem is given as follows: $5350.
How to calculate the bond's price?To calculate the bond price, we need to know the face value(given in the missing information subsection at the end of the answer) and the yield rate, given at the problem.
The bond price is the given by the multiplication of the face value and 100% plus the yield, hence, in the context of this problem, it is given as follows:
Bond Price = 5000 x 1.07 = $5350.
What is the missing information?The complete problem is given as follows:
"A bond with a face value of $5,000 has a current yield of 7% and a coupon rate of 8%, what is the bonds yield?"
As the face value is needed to calculated the bonds price.
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Suzanne is going to rent a car while she is out of town. The car rental company offers a flat rate of $35 plus $0.10 per mile. If she paid $105, then how many miles did she drive?
Answer: 700
Step-by-step explanation:
105-35=70
0.10Xx=70
x=700
700
The length of the shadow of a 4 ft stick can be found by comparing its shadow to the shadow of a 32 ft tall building. The building had a shadow 6 ft long. How long would the stick's shadow be at that time?
The shadow of the 4 feet stick is 3/4 feet or 0.75 feet.
It is a question of ratio and proportion.
It is given in the question that the 32 feet tall building had a shadow 6 feet long.
We have to find the length of the shadow of a 4 ft stick.
Let the length of the shadow of a 4 ft stick be x.
We know that length and shadow of a 4 feet stick and a 32 feet building will be in proportion.
Hence, we can write,
Length of building/Length of stick = shadow of building/shadow of stick
32/4 = 6/x
8 = 6/x
x = 6/8 feet = 3/4 feet = 0.75 feet
x = 0.75 feet.
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Simplify 3.5p(4 − 0.3p).
14 − 1.05p2
14 − 0.3p2
14p − 1.05p2
14p − 0.3p2
The correct explanation for the expression 3.5p(4 − 0.3p) will be;
⇒ 14p - 1.05p²
Option C is true.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called the Mathematical expression.
Given that;
The mathematical expression is;
⇒ 3.5p(4 − 0.3p)
Now, Solve the expression as;
The mathematical expression is;
⇒ 3.5p(4 − 0.3p)
Hence,
⇒ 3.5p(4 − 0.3p) = 3.5 x 4p - 3.5p x 0.3p
= 14p - 1.05p²
Thus, After simplify we get;
⇒ 3.5p(4 − 0.3p) = 14p - 1.05p²
Therefore, The correct explanation for the expression 3.5p(4 − 0.3p) will be;
⇒ 14p - 1.05p²
Option C is true.
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Write the angle relationship for each pair of angles
Types of angles are given below
What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. The plane that contains the rays is where two rays' angles are located. Two planes intersecting at an angle also produces an angle. We call to these as dihedral angles.
Given Data
∠1 and ∠4 are vertical opposite angles.
∠2 and ∠7 are alternate exterior angles.
∠4 and ∠8 are corresponding angles.
∠3 and ∠5 are co interior angle.
∠6 and ∠8 are co linear angles.
∠1 and ∠7 are alternate exterior angle.
∠3 and ∠6 are alternate interior angle.
∠1 and ∠3 are co linear angle.
∠2 and ∠6 are corresponding angles.
∠6 and ∠7 are vertical opposite angle.
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For which interval(s) is the function increasing and decreasing?
y = |2x^2+x-6|
From the graph of the function, it's behavior on the intervals is given as follows:
Increasing: x >0.Decreasing: x < 0.When a function is increasing?Looking at the graph, we get that a function f(x) is increasing when it is "moving northeast" along the xy-plane, that is, to the right and up on the graph, meaning that when x increases, y increases.
Hence, from the graph of the function, it is increasing for the values to the right of x = 0, that is, on the interval x > 0.
When a function is decreasing?Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast" along the xy-plane, that is, to the right and down on the graph, meaning that when x increases, y decreases.
Hence, from the graph of the function, it is decreasing for the values to the left of x = 0, that is, on the interval x < 0.
The graph of the function is shown at the end of the answer.
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The sun of two rational numbers is 17/4. If one of the numbers is 5/2 find the other number
Answer:
Sum of two rational no. = 17/4
One rational no. = 5/2
So, Let the other rational no. be "x".
Therefore,
\begin{gathered} = > \frac{5}{2} + x = \frac{17}{4} \\ \\ = > x = \frac{17}{4} - \frac{5}{2} \\ \\ = > x = \frac{17 - 10}{4} \\ \\ = > x = \frac{7}{4} \end{gathered}=>25+x=417=>x=417−25=>x=417−10=>x=47
Answer:
Hope the picture will help you
Use the following values to evaluate the expression (Will give 69 points)
w = 5, x = 9, y = 2
3. x + 20 - 1
A. 28
B. 19
C. 30
D. 32
(Conexus student)
The solution to the given expression (x + 20 - 1) when x = 9 is: A. 28.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In this exercise, you're required to evaluate the given expression and determine its solution. Therefore, we would evaluate the given expression as follows:
x + 20 - 1
Substituting the value of x into the given expression, we have:
Expression = 9 + 20 - 1
Expression = 29 - 1
Expression = 28.
In conclusion, we can reasonably and logically deduce that 28 is the solution to this expression (x + 20 - 1).
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Answer:
a) 28
Step-by-step explanation:
Now we have to,
→ evaluate the expression.
The expression is,
→ x + 20 - 1
Solving the expression,
→ x + 20 - 1
→ 9 + 20 - 1
→ 9 + 19
→ 28
Hence, solution is 28.
Write down equation of lines l and m
Step-by-step explanation:
I assume you need the slope-intercept form
y = ax + b
"a" is the slope of the line, "b" is the y- intercept (the y-value when x = 0).
the slope is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.
for l we go from (5, 20) to (8, 80) and get
x changes by +3 (from 5 to 8)
y changes by +60 (from 20 to 80)
the slope is therefore
+60/+3 = 20/1 = 20 = a
so, we have
y = 20x + b
the y- intercept looks to be -80, but to be sure we use a point (e.g. 5, 20)
20 = 20×5 + b = 100 + b
b = -80
yes, the equation is
y = 20x - 80
for m we go from (5, 20) to (8, -40) and get
x changes by +3 (from 5 to 8)
y changes by -60 (from 20 to -40)
the slope is
-60/+3 = -20/1 = -20
we have therefore
y = -20x + b
we use the same trick for b as before
20 = -20×5 + b = -100 + b
b = 120
and our full equation is
y = -20x + 120
Can someone please help I give lots of points...
Answer:
y=-x^2+16x-55
Step-by-step explanation:
Since two intercepts are given (the two x-intercepts in this case), we should probably use intercept form.
y=a(x-b)(x-c)
plug in the intercepts which are 5 and 11 in this case
y=a(x-5)(x-11)
to solve for a, use the remaining point and set x to 6 and y to 5. we can do this because (6,5) is given to us as a solution of one of the points on the graph.
5=a(6-5)(6-11)
5=a*(-5)
a=-1
so, the equation should be:
y= - (x-5)(x-11)
expand the parentheses to get:
y=-x^2+16x-55
(also 5 points isn't a lot of points...)
Can you help break this down. I do not understand at all
Given:
There is an expression given in the question as,
[tex]4x-2(3x-9)[/tex]Required:
We need to find the equal equation in the given option.
Explanation:
First we simplify the given equation
[tex]\begin{gathered} 4x-2(3x-9) \\ =4x-6x+18 \\ =-2x+18 \\ =18-2x \end{gathered}[/tex]Final answer:
[tex]18-2x[/tex]
Suppose the current cost of gasoline is $3.10 per gallon. Find the current price index number, using the 1975 price of 56.7 cents as the reference value.
The current price index is _____
(Round to one decimal place as needed.)
The current price index is mathematically given as,
$538.194
This is further explained below.
What is the current price index?The index value may be calculated by taking the ratio of the current value to the reference value and multiplying that ratio by 100.
In regard to this issue, we have that:
Current value = $3.10
Reference value: $0.576
Generally, the Index price for the is mathematically given as,
I = (3.10/0.576)*100
I= $538.194
The current price index number is 538.194
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What is the domain of this function?
(-1 3 5) (2 6 8)
A. (2, 6, 8, 3, 5)
) B. {2, 6, 8)
O C. (-1, 3, 5)
) D. {3}
The domain of the function is (-1, 3, 5).
Hence the correct answer is Option(C).
What is the domain of a function?Inputs are assigned outputs by functions."All the values" that are input into a function are referred to as the domain of a function. The collection of all potential inputs for a function is its domain.Think of this box as the f(x) = 2x function.The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.However, f(x) = 2x is typically defined for all real values of x, and as a result, its domain is the set of all real numbers, which is denoted by (-∞, ∞).Given function: (-1 3 5) (2 6 8).
Domain is the input values in a function i.e. here it is (-1 3 5).
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can someone please explain how to do this? it’s urgent!
The measure of the angle b is 61°.
In Euclidean geometry, an angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. The plane that contains the rays contains the angles created by two beams.
Vertical Angles (Vertically Opposite Angles): The opposing angles created by the junction of two lines are known as vertical angles or vertically opposite angles. A pair of angles that are vertically opposed to one another are always equal.
The figure describes two angles 61° and b.
Now, from the figure the angles 61° and b are vertically opposite angles.
Therefore, the angles are equal.
b = 61°
Hence, the measure of angle b is 61°.
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The population of City A is 8.59 x 104. The population of City B is 3.2 x 103. Select all of the values that show the difference in population of City A and City
B.
8.27 x 104
5.39 × 10¹
2.748 x 107
82,700
7.8 x 104 + 4.7 x 10³
The difference between the population in City A and City B is 8.27 x [tex]10^{4}[/tex] and 82,700.
What is the difference in the population?The numbers are written in scientific notation. Scientific notation is a method that is used in mathematics to compress large numbers. In order to write a number in scientific notation, the number is written as a decimal number between 1 and 10 and multiplied by a power of 10. For example, 3 x 10² is equivalent to 300
Subtraction is the mathematical operation that is used to determine the difference between two or more numbers.
8.59 x [tex]10^{4}[/tex] - 3.2 x 10³
(0.859 x [tex]10^{4 - 1}[/tex]) - ( 3.2 x 10³)
(0.859 x 10³)- (3.2 x 10³)
0.827 x 10³
8.27 x [tex]10^{4}[/tex] = 82,700
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PLEASE ANSWER QUICKLY
MAKE CONNECTIONS For AC, select an equation you can use to find AB.
O A) 1.5 + 3.7 = AB
O B) AB + 3.7 = 1.5
O c1.5 + AB = 3.7
O D) 1.5 - AB = 3.7
The correct connections for AC will be option b) AB+3.7 = 1.5. Two expressions joined by the equals symbol ("=") form an equation.
What is meant by equation?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. We determine the value of the variable x as x = 7 by solving this equation.Identity equations and conditional equations are the two types of equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.Different types of equationEquation with a line.Extreme EquationEquation with exponents.Equation with logic.Hence, The correct connections for AC will be option b) AB+3.7 = 1.5.
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