First let's convert the decimal numbers to mixed numbers:
Now, adding all the numbers, we have:
So the correct option is B.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
1 answer:
Answer:
The rocket will reach its maximum height after 6.13 seconds
Step-by-step explanation:
To find the time of the maximum height of the rocket differentiate the equation of the height with respect to the time and then equate the differentiation by 0 to find the time of the maximum height
∵ y is the height of the rocket after launch, x seconds
∵ y = -16x² + 196x + 126
- Differentiate y with respect to x
∴ y' = -16(2)x + 196
∴ y' = -32x + 196
- Equate y' by 0
∴ 0 = -32x + 196
- Add 32x to both sides
∴ 32x = 196
- Divide both sides by 32
∴ x = 6.125 seconds
- Round it to the nearest hundredth
∴ x = 6.13 seconds
∴ The rocket will reach its maximum height after 6.13 seconds
There is another solution you can find the vertex point (h , k) of the graph of the quadratic equation y = ax² + bx + c, where h = and k is the value of y at x = h and k is the maximum/minimum value
∵ a = -16 , b = 196
∴
∴ h = 6.125
∵ h is the value of x at the maximum height
∴ x = 6.125 seconds
- Round it to the nearest hundredth
∴ x = 6.13 seconds
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Answer:
Step-by-step explanation:
First draw a line. I will put it in an attachment so you can see the line.
Now choose to points on the line to use the slope formula.
(0,15) and (3,13).
Slope formula:
Plug in the information needed using the two points chosen.
The slope is .
Now use point-slope formula.
Point-slope formula: y-y1=m(x-x1)
y-15=(x-0)
y-15=x-0
Subtract 15 from both sides.
y=x-15
Hope this helps!
If not, I am sorry.
