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Lemur [1.5K]
3 years ago
15

F(x) = x^2 is stretched vertically by a factor of 4 and shifted 1 unit down. equation = ???

Mathematics
1 answer:
LenKa [72]3 years ago
6 0

Answer:

f(x) = 4x² - 1

Step-by-step explanation:

The given function is; f(x) = x²

Now, when stretched vertically by a factor of 4, we have;

f(x) = 4x²

It's now shifted 1 unit down.. Thus, the final function will be;

f(x) = 4x² - 1

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The table below shows a pattern in the cost of renting a car based on the number of days rented. Car Rentals Number of Days (d)
andrezito [222]

The linear equation that describes the pattern in the cost of renting a car is given by:

  • D. c = 34d + 25

<h3>What is a linear function? </h3>

A linear function is modeled by:

y(x) = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • For each day, the cost of renting a car increases by 34, hence, the slope is of 34, and the equation is:

c(d) = 34d + b

When d = 4, c = 161, and this is used to find b.

c(d) = 34d + b

161 = 34(4) + b

b = 25

Hence, the equation is c = 34d + 25, and option D is correct.

You can learn more about linear functions at brainly.com/question/25823744

6 0
2 years ago
A bag contains 2 red marbles, 3 green marbles, and 4 blue marbles.
Fantom [35]

Answer:

0.083333333333 or 8.3%

Step-by-step explanation:

3/9x2/8

The second fractions has a demoninator of 8 bc u already took one from the bag and didnt return it

7 0
3 years ago
Read 2 more answers
What is the value of z? ( please help)
maxonik [38]

Answer:

z = 1

Step-by-step explanation:

See the diagram of the triangle attached to this question.

We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.

Hence,  

42z + 37 = 40z + (26z + 13)

⇒ 42z + 37 = 66z + 13

⇒ 37 - 13 = 66z - 42z

⇒ 24 = 24z

⇒ z = 1 (Answer)

7 0
3 years ago
Plzzz help answer this
Delvig [45]

He spent 270 dollars. First i multiplied 110*3 and got 330. Then i had to subtract 600-330. and got 270.

i hope this helps :)


7 0
3 years ago
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Help me with this please
vichka [17]

Answer:

a - 8.5ft

Step-by-step explanation:

() Using trig ratio

sin(45) = x/12

12 * sin(45) = x

x = 8.5

() Using Pythagorean theorem

*special right triangle*

Since x * \sqrt{2} = 12

to find the legs

x = \frac{12}{\sqrt{2}}

x = 8.5

7 0
2 years ago
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