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3 years ago

Find the value of x.

Mathematics

1 answer:

Sliva [168]3 years ago

8 0

Answer:

i dont see ur pic

Step-by-step explanation:

pic?

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A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

8 0

3 years ago

Given that f(x) = 3x + 1 and g(x) = the quantity of 4x plus 2 divided by 3 , solve for g(f(0)). (5 points) 2 6 8 9

leva [86]

$f(0)=3(0)+1$

$f(0)=1$

$g(1)=\frac{4(1)+2}{3}$

$g(1)=\frac{4+2}{3}$

$g(1)=\frac{6}{3}$

$g(1)=2$

Hope this helps.

頑張って!

7 0

3 years ago

1.3 miles + 3.5 miles

Rainbow [258]

I think its 4.8 miles, dont hold me to that though

3 0

3 years ago

Read 2 more answers

Which linear equation represents a proportional relationship? A) y = x + 2 B) y = 3x + 0.2 C) y = −0.3x D) y = −3x + 4

posledela

Answer:

answer is c

Step-by-step explanation:y =

−0.3x

The given equations are in slope-intercept form, y = mx + b, where b represents the y-intercept.

Proportional relationships must pass through the origin. Therefore, the y-intercept for the equation must be 0. The y-intercept for y = −0.3x is 0.

7 0

3 years ago

-18x - 19 = -145 two-step equation

worty [1.4K]

Answer:

7 is the value of x.

Step-by-step explanation:

Now we have to,

find the required value of x.

→ -18x - 19 = -145

→ -18x = -145 + 19

→ -18x = -126

→ x = -126/-18

→ [ x = 7 ]

Hence, the value of x is 7.

4 0

2 years ago