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Anton [14]
3 years ago
8

F(x)=x^2 . what is g(x)? please help ‍♀️

Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

D) g(x) = 4x^2 because the given point works when it's plug in the equation.

Step-by-step explanation:

It's a vertical stretch so a>1 for the transformation

Definitely not C, since it's a shrink with 0<a<1.

Plug in the point to see which one works

g(x) = 16x^2

g(1) = 16. A is not right

B is the same thing to A

g(1) = (4*1)^2 = 16. So, B is also not right

For D:

g(1) = 4(1)^2 =4. Point (1,4) that's show on the graph works for this equation.

D is correct

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Recall the equation that modeled the volume of the raised flower bed, y, in terms of the width of the box, y = x3 + 11x2 − 312x.
lakkis [162]

Answer:

48 cubic feet of mulch

Step-by-step explanation:

12 feet long x 4 feet wide x 1 foot deep of mulch= 48 cubic feet of mulch

8 0
2 years ago
Sammy's Sandwich Shop has a mean delivery time of 25 minutes with a standard deviation of 2 minutes. Determine the z-score for t
Jlenok [28]

Answer:the z score is - 1

Step-by-step explanation:

Assuming a normal distribution for the delivery time of sandwiches by Sammy's Sandwich Shop. We would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = delivery times

u = mean delivery time

s = standard deviation

From the information given,

u = 25 minutes

s = 2 minutes

We want to determine the z-score for the number of sandwiches delivered in less than 23 minutes. It becomes

z = (23 - 25)/2 = - 1

7 0
3 years ago
PLEASE HELP ASAP <br> TRIGONOMETRY
otez555 [7]

Answer:

11). x = 25.8°

12). x = 67.3°

Step-by-step explanation:

11). By using sine rule in the given triangle,

   cos(x) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

   cos(x) = \frac{27}{30}

   x = \text{cos}^{-1}(\frac{9}{10} )

   x = 25.84

   x ≈ 25.8°

12). By applying tangent rule in the given triangle,

    tan(x) = \frac{\text{Opposite side}}{\text{Adjacent side}}

    tan(x) = \frac{43}{18}

    x = \text{tan}^{-1}(\frac{43}{18} )

    x = 67.29°

    x ≈ 67.3°  

5 0
3 years ago
The equilibrium constant for this system is
blsea [12.9K]

Answer:

a. 9.2 x 10-2 M

Step-by-step explanation:

i took test

7 0
3 years ago
At a farm, there are two huge pits for storing hay. 90 tons of hay is stored in the first pit, 75 tons in the second pit. Then,
Travka [436]

Answer:

63 tons

Step-by-step explanation:

The problem statement asks for the tons of hay removed from the first pit. It is convenient to let a variable (x) represent that amount. This is said to be 3 times the amount removed from the second pit, so that amount must be x/3.

The amount remaining in the first pit is 90-x.

The amount remaining in the second pit is 75 -x/3.

Since the first pit remaining amount is half the second pit remaining amount, we can write the equation ...

... 90 -x = (1/2)(75 -x/3)

... 180 -2x = 75 -x/3 . . . . multiply by 2

... 105 - 2x = -x/3 . . . . . . subtract 75

... 315 -6x = -x . . . . . . . . multiply by 3

... 315 = 5x . . . . . . . . . . . add 6x

... 63 = x . . . . . . . . . . . . . divide by 5

63 tons of hay were taken from the first pit.

_____

<em>Check</em>

After removing 63 tons from the first pit, there are 27 tons remaining. After removing 63/3 = 21 tons from the second pit, there are 54 tons remaining. 27 is half of 54, so the answer checks OK.

6 0
3 years ago
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