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Sedaia [141]
3 years ago
7

Come graphs find the value of h,k, or a

Mathematics
1 answer:
TEA [102]3 years ago
8 0

Answers:

  • Translation 3 units up
  • k = 3

============================================================

Explanation:

The y intercept of the black f(x) curve is at (0,1)

The y intercept of the blue curve is at (0,4)

To go from y = 1 to y = 4, we add 3

So we shift 3 units up to go from the f(x) curve to the g(x) curve.

The value of k is 3, which corresponds exactly to the vertical shift. If we shifted down, then k would be negative.

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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
Please I need help with this and show your steps
krek1111 [17]
Here you go! Hope this helps!

3 0
2 years ago
Read 2 more answers
......................<br> 4 x4 x4 x5 x5
Alina [70]
The Answer is 1600
Hope this helps :)
7 0
2 years ago
Read 2 more answers
) Aubrey can walk 4 1/2 miles in 1/2 hours. Find the average speed in miles per hour.
Irina-Kira [14]
I think the answer is 5 because you add the 1/2 and the other 1/2 leave the for alone that will give you 5 Example: 1/2+1/2=1+4=5
8 0
3 years ago
What is the diameter of circle 0?
Marina86 [1]

Answer:

8

Step-by-step explanation:

diameter is the radius times 2

3 0
2 years ago
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