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3 years ago

Select the correct answer. Which function does the graph represent?

Mathematics

2 answers:

Lostsunrise [7]3 years ago

7 0

Answer:

what graph

Step-by-step explanation:

Pavel [41]3 years ago

6 0

Answer:
Please include graph

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A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our a is -4.9 and b is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

3 years ago

Read 2 more answers

What are the circumference and area of a circle with radius 7in. Round to the nearest tenth.

Natalka [10]

Circumference is 40 in and area is 150 in²

Step-by-step explanation:

Step 1: Find the circumference of the circle when radius = 7 in

Circumference = 2πr = 2 × 22/7 × 7 = 44 in ≈ 40 in

Step 2: Find the area of the circle.

Area = πr² = 22/7 × 7² = 154 in² ≈ 150 in²

4 0

3 years ago

The table shows the amounts of two ingredients Tara used to make a snack mix. She ate 5/8 cup of the snack mix for lunch. How mu

mafiozo [28]

5/8 are eaten

So if you do 8/8 - 5/8 you get 3/8

6 0

3 years ago

3. What is the solution to the equation x3 = = 216 A. 72 B. 27 C. 8 D.6

Elanso [62]

Answer:

I assume that the question is $x^{3} = 216$

6 * 6 = 36 35*6 = 216

in other words 6*6*6 = 216

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Which cannot be the length of the remaining side?

Nostrana [21]

A, the length of the two smallest sides of a triangle added together must always equal a length longer than the longest side

8 0

3 years ago

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