Answers
The given function f(x) = - 3x + 2 is a linear function, so its parent function must have to be a linear function.
The parent linear function is f(x) = x
Note that you can derive the above function from x by first multiplying it with -3 and then adding 2.
So the correct option is option C
Related Questions
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y.
Answers
DH = HF and GH = HE
x + 5 = 2y
3x - 1 = 5y + 4
Solve the first equation for x.
x = 2y - 5
Now substitute 2y - 5 for x in the second equation.
3(2y - 5) - 1 = 5y + 4
6y - 15 - 1 = 5y + 4
6y - 16 = 5y + 4
y = 20
Now substitute 20 for y in the first original equation.
x + 5 = 2y
x + 5 = 2(20)
x + 5 = 40
x = 35
Answer: x = 35 and y = 20
The values of x and y in parallelogram DEFG are:
x = 35y = 20Given:
DH = HF and GH = HE
We have the following equations according to the given condition.
x + 5 = 2y ...(1)
3x - 1 = 5y + 4 ...(2)
From equation (1), we can express x in terms of y:
x = 2y - 5 ...(3)
Substitute this value of x in equation (2):
3(2y - 5) - 1 = 5y + 4
Simplify and solve for y:
6y - 15 - 1 = 5y + 4
6y - 16 = 5y + 4
y = 20
Now substitute y = 20 in equation (3) to find x:
x = 2(20) - 5
x = 40 - 5
x = 35
Therefore, the values of x and y in parallelogram DEFG are:
x = 35
y = 20
Learn more about parallelograms here:
https://brainly.com/question/10717345
#SPJ2
Two jets leave Dallas at the same time and fly in opposite directions one is flying west 50 mph faster than the other another two hours the Jets are 2500 miles apart find the speed of the jet
Answers
Two ships leave a harbor at the same time. one ship travels on a bearing upper s 12 degrees upper w at 18 miles per hour. the other ship travels on a bearing upper n 75 degrees upper e at 12 miles per hour. how far apart will the ships be after 2 hours?
Answers
Between E and S there are 90°
Between South and S12°W there 12°
Applying cosine rule
Another way is to measure all angles clockwise from north (called azimuth) The ship at S12°W is at 180+12 = 192°
The ship at N75°E is at 75°
Angle between them is 192-75 = 117°
Applying cosine rule:
c=√(36²+24²-2×36×24cos117)
c=√2656.496
c=51.54 mi
please help but only answer if you're going to show work please!!!!
Answers
4[3(-2) - 6]
---------------
1 + (-2)
4[-6 - 6]
= ---------------
-1
4[-12]
= ---------------
-1
-48
= ----------
-1
= 48
1. You have the following expression given in the problem above:
4(3h-6)/(1+h)
2. Then, if h is h=-2, you have to substitute this value into the expression given above, as below:
4(3h-6)/(1+h)
4(3(-2)-6)/(1+(-2))
3. Then, you have
4(-6-6)/(1-2)
4(-12)/-1
-48/-1
48
What is the approximate area of the shaded sector in the circle below
Answers
so plug in the numbers A= (3.14)(4.5)(4.5)= 63.62 is the total area
150*63.62=9543 9543/360=26.5
So the answer is 26.5 cm ^2
What is the value of ø for the acute angle in a right triangle?
sim (ø)= cos (48 degrees)
Ø=??????
Answers
sin (90 - θ) = cos(θ)
The value of θ in the given case is 48, so the equation becomes:
sin(90 - 48) = cos(48)
sin (42) = cos(48)
Thus, in the given question value of ø will be 42 degrees.
Consider the square root of 25. Is it rational or irrational? Explain your reasoning.
Answers
The square root of 25 is rational. This is because it is equal to the product of 5 x 5. Since 5 is a rational number and 25 is equal to 5 x 5, the square root of 25 is rational.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
A tangent-tangent angle intercepts two arcs that measure 124 and 236. what is the measure of the tangent-tangent angle?
Answers
The measure of the external angle is the semi difference of the arcs that it covers.
let
x-----> the measure of the tangent-tangent angle
∠ x=(1/2)*[236-124]----> 56°
the answer is
the measure of the tangent-tangent angle is 56 degrees
Answer:
the measure of the tangent-tangent angle is 56 degrees.
Step-by-step explanation:
apex
The cost of gasoline is expected to increase by 2.5% next year. If p represents the current cost of gasoline, which experession represents the expected gasoline price next year?
Answers
[tex]y = x \times 0.025[/tex]
A researcher reports that mean ratings of liking for some food are m = 0.8, sd = 2.4. if the null hypothesis was that the mean equals 0, then what is the effect size for this test using estimated cohen's d?
Answers
A , O and B lie on a straight line segment
Evaluate x the diagram is not drawn to scale
Answers
if A , O and B lie on a straight line segment
then
∡AOY+∡YOZ+∡ZOB=180°
so
3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°
the answer is
x=36°
The value of x from the given diagram is; 36°
Sum of angles on a straight line.The sum of angles on a straight line is 180°.
In this scenario, the sum of angles on the straight line: AOB is 180°.
Therefore, we have
3x + x + x = 180°5x = 180x = 36°
Read more on sum of angles on a straight line:
https://brainly.com/question/24024505
YO! I WILL MAKE YOU LOOK GOOD IF YOU ANSWER MY QUESTION!!!!!!!
Answers
Since the turning points are two and the first line came from the negative side and the second is in the positive side, so there for if you will multiple it negative times positive will give you negative.
This is the hint that this is an odd degree. Since if you raise thw power to an odd degree, it wi give you a negative answer. So it will have two different sides, points in the negative and points on the positive side.
If you will consider it an even degree, the graph's shape must be either up, up or down, down. But the graph shows down, up which indicstes its an odd degree. Hope you understand.
the perimeter of a rectangular parking lot is 190 meters. the width is one fourth the length. write a system of equation for this scenario
Answers
You can make 2 equations based on what you know
2l + 2w = 190
w = 0.25l
Put w into the first equation
2l + 2(0.25l) = 190
Distribute the 2
2l + 0.5l = 190
Combine like terms
2.5l = 190
Divide both sides by 2.5
l = 76
Put l into the second equation
w = 0.25(76)
Multiply
w = 19
The length is 76 and the width is 19
The answer is
2l + 2w =190
w = 0.25l
Hope this helps!
Final answer:
To write a system of equations for the scenario, assign variables to the length and width of the rectangular parking lot. Use the information given to create two equations.
Explanation:
To write a system of equations for this scenario, let's start by assigning variables to the length and width of the rectangular parking lot. Let's say the length is represented by 'L' and the width is represented by 'W'. According to the given information, the width is one fourth the length, so we can write the equation:
W = (1/4)L
The perimeter of a rectangle is equal to the sum of all its sides. In this case, the perimeter is given as 190 meters, so we can write the equation:
2L + 2W = 190
Now we have a system of equations:
W = (1/4)L
2L + 2W = 190
These are the equations that represent the given scenario.
Use the difference of squares theorem to find the solution of the following equation:
v^2 = 252
Answers
v^2 - 252 = 0
(v - sqrt252)(v + sqrt252) = 0
so the 2 solutions are sqrt252 and - sqrt252
= 15.87 and -15.87 to nearest hundredth.
The scatterplot shows a linear relationship between the distance traveled and the time elapsed. What is the rate of change of the linear relationship?
For every increase in time by 1 hour, the distance increases
36 miles.
54 miles.
72 miles.
90 miles.
Answers
slope,m=(change in y-values)/(change in x-values)
taking 2 points (1.25, 90) and (0.75,54) we get:
slope,m=(90-54)/(1.25-0.75)=36/0.5=72
The answer is:
72 miles
Answer:
The answer is C. 72 miles.
Step-by-step explanation:
write the standard form of the line that passes through the given point. include your work in your final answer. (-8,0) and (1,5)
Answers
The points are (-8,0) and (1,5). The slope(m) of the line will be:
[tex]m= \frac{5-0}{1+8} = \frac{5}{9} [/tex]
Using the slope and a point (-8,0) we can write the equation in point slope form as:
[tex]y-0= \frac{5}{9}(x+8) \\ \\ y= \frac{5x}{9} + \frac{40}{9} \\ \\ 9y=5x+40[/tex]
In standard form, the equation will be:
5x - 9y = - 40
Anyone know? Will give brainiest
Answers
A total of 327 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. how many adult tickets were sold?
Answers
109 Adults
Let x = adults
Let 2x = students
Add together and set equal to the total number.
109 adult tickets were sold for the school play.
Explanation:Let's assume the number of adult tickets sold is x.
According to the given information, the number of student tickets sold is 2 times the number of adult tickets sold. So, the number of student tickets sold is 2x.
Since the total number of tickets sold is 327, we can write the equation x + 2x = 327. Simplifying this equation gives us 3x = 327. Dividing both sides by 3, we get x = 109.
Therefore, 109 adult tickets were sold.
Learn more about number of adult tickets sold here:https://brainly.com/question/19426877
#SPJ11
Emily sold 147 candles for a fundraiser. If she sold 70% of the total number of candles sold for the fundraiser, what is the total number of candles sold for the fundraiser?
Answers
x candies -----100%
x=(147*100)/70= 210
Total were sold 210 candies.
Emily sold 147 candles for a fundraiser. If she sold 70% of the total number of candles sold for the fundraiser, what is the total number of candles sold for the fundraiser?
Solution:
Candles Emily sold=70% of Total Number of Candles
Emily sold 147 candles.
So, We have,
147=70% of Total Number Of Candles
Let, Total Number Of Candles=x
147=70% of x
147=[tex] \frac{70}{100} [/tex] *x
147=[tex] \frac{70x}{100} [/tex]
Let us multiply by 100 on both sides
147*100=[tex] \frac{70x*100}{100} [/tex]
14700=[tex] \frac{70x*1}{1} [/tex]
14700=70x
To solve for x, Let us divide by 70 on both sides
[tex] \frac{70x}{70}=\frac{14700}{70} [/tex]
x=14700/70
x=210
Total Number of Candles=210
Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression which represents Kali’s earnings for the week is shown.
Image in screenshot!
Which number should go into the box to complete the expression?
Answers
It is given that:
Kali earns $ 8 per hour.
This means that if she works for n hours then this earning for n hours will be given by: $ 8n
She works x hours on both Monday and Tuesday.
This means that the earning of x hours is: $ 8x
and hence the earning for both Monday and Tuesday is:$ 2(8x)
She also worked for 5 hours on Thursday.
Hence, the earning for Thursday is: 5×8=40
The total earning of the week is given by:
2(8x)+5(8)
Write the equation for a parabola that has x− intercepts (−1.6,0) and (−3.2,0) and y−intercept (0,25.6).
Answers
(x-x1)(x-x2)=(x+1.6)(x+3.2)=x² +1.6x+3.2x+5.12=x²+4.8x+5.12
y=x²+4.8x+5.12, but the y-int. is (0, 25.6),
So, our parabola should look like
y=5(x²+4.8x+5.12)
y=5x²+24x+25.6
∞∞∞∞∞∞∞∞
Explanation:
∞∞∞∞∞∞∞∞
x-intercept = (-1.6, 0) and (-3.2, 0)
=====> y = a(x + 1.6)(x + 3.2)
Given y-intercept = (0, 25.6)
=====> 25.6 = a( 0 + 1.6)(0 + 3.2)
=====> 25.6 = 5.12a
=====> a = 5
Plug in a = 5 into the equation
=====> y = 5(x + 1.6)(x + 3.2)
Jason eats 10 ounces of candy in 5 days. a. How many pounds does he eat per day?
b. How long will it take Jason to eat 1 pound of candy?
Answers
B. It would take him a total of 8 days to eat a pound of candy.
A. Since he ate 10 ounces in 5 days, you divide 10 by 5 to find he ate 2 ounces per day. Since there are 16 ounces in a pound that would be your denominator (bottom of fraction) and 2 would be the numerator (top of your fraction). You will get 2/16 which if you simplify (divide by 2) you get 1/8.
B. Knowing that there are 16 ounces per pound and he ate 1/8 pound ( 2/16 pound or 2 ounces) a day, you can either look at the simplified denominator to get the answer, or, divide 16 by 2 to get your answer.
I hope this helps!
Use the Distributive Property to multiply 9 and 37 in your head. What is the answer?
270 + 7 = 277
27 + 63 = 90
30 + 63 = 93
270 + 63 = 333
Answers
If you did it in your head, it would look like this:
9(30) + 9(7)
270 + 63 = 333
Which of following equations is equivalent to the slope formula?
Answers
Could someone please help with this question!
Answers
Part (A):
Since the two figure are similar, therefore, we will use the similarity proportionality to get the unknown side as follows:
[tex] \frac{16}{8} = \frac{x}{2} [/tex]
x = [tex] \frac{2*16}{8} = 4 units[/tex]
Part (B):
Since the two figures are similar, therefore, we will use similarity proportionality to get the unknown sides as follows:
[tex] \frac{y}{8} = \frac{12}{4} = \frac{18}{x} [/tex]
x = [tex] \frac{18*4}{12} = 6 units[/tex]
y = [tex] \frac{12*8}{4} = 24 units[/tex]
Hope this helps :)
find the surface area of a sphere with a radius of 0.8 ft
Answers
Sphere Surface Area = 4 * PI * .8^2
Sphere Surface Area = 8.0424771932 square feet
Can someone help me please!!!!
Answers
Right triangle DEF right-angled at F.
ED=97 (hypotenuse)
DF=72 (opposite side of angle E)
FE=65 (adjacent side of angle E)
Cosine of angle E
=(adjacent side)/(hypotenuse)
=FE/ED
=65/97
=0.6701 (to four decimal places)
A large pizza has a diameter of 18 inches. How many square inches of pizza does the large pizza have?
Answers
the area of a pizza is equal to the area of a circle
so
area of a circle=pi*r²
diameter=18 in
radius=diameter/2-----> r=18/2------> r=9 in
area of a circle=pi*9²------> 254.34 in²
the answer is
254.34 in²
THE FIRST ANSWER GETS BRAINIEST The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.
WRITE THE EQUATION !!
Answers
The complete question is :
The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.
Question says 153, so we add 153 with the height of the statue
The total height of the Statue of Liberty = Height of the statue + 153
305 = h + 153
To find out h we subtract 153 on both sides
305 - 153 = h + 153 - 153
h = 152
The height of the statue = 152 ft
The height of the statue is 152 feet.
Let's call the height of the statue "h" in feet. According to the problem, the total height of the Statue of Liberty and its pedestal is 305 feet, and this is 153 more than the height of the statue. So, you can write the equation as:
Total Height = Statue Height + Pedestal Height
305 feet = h + 153 feet
Now, to find the height "h" of the statue, you can isolate it on one side of the equation. To do that, subtract 153 feet from both sides of the equation:
305 feet - 153 feet = h
152 feet = h
So, the height of the statue is 152 feet.
To know more about equation:
https://brainly.com/question/10354322
#SPJ3
The complete question is:
The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.
Mike is going to a ball game on saturday. he will pay $8.00 admission, plus $1.50 per item he buys at the concession stand. which of the equations represents this information?
Answers
x: number of items that he buys at the concession stand
y: total payment
We now write the equation that represents this problem.
We have then:
y = 1.50x + 8
Answer:
An equation that represents this information is:
y = 1.50x + 8
The equation that represents this information will be y = 1.5x + 8.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Mike is going to a ball game on Saturday.
He will pay $8.00 for admission, plus $1.50 per item he buys at the concession stand.
Let x be the number of items and y be the total cost.
Then we have
y = 1.5x + 8
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ5