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3 years ago

The function with a rate of change of 3/2 whose graph passes through the point (4,10.5)

Mathematics

1 answer:

tamaranim1 [39]3 years ago

4 0

Answer:

y = 1.5x+4.5

Step-by-step explanation:

Let's try to fit this into slope-intercept form, which is y=mx+b, where m=slope and b=y-intercept.

Rate of change means slope, so m=3/2 = 1.5.

y = 3/2x+b

We can plug in the given point, remembering that it's in the form (x,y), so x=4, y=10.5.

y = 3/2x+b

10.5 = 3/2*4 + b

4.5 = b

Plug b back in.

y = 1.5x+4.5

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The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equ

Fittoniya [83]

Answer:

$(a)\ -16t^2 + 7t + 63=0$

$(b)\ t = 2.215$

Step-by-step explanation:

Given

$h(t) = -16t^2 + 7t + 63$

Solving (a): Equation when it hits the ground.

This means that $h(t) = 0$

So, we have:

$h(t) = -16t^2 + 7t + 63$

$-16t^2 + 7t + 63=0$

Solving (b): The value of t in (a)

$-16t^2 + 7t + 63=0$

Using quadratic formula, we have:

$t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

This gives:

$t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}$

$t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}$

$t = \frac{-7 \± \sqrt{4081}}{-32}$

$t = \frac{-7 \± 63.88}{-32}$

Split

$t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}$

$t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}$

$t = -1.7775; or\ t = 2.215$

Time can't be negative; So:

$t = 2.215$

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2 years ago

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Zepler [3.9K]

40/1.4=28.57 i think this is right

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2 years ago