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2 years ago

Choose which function is represented by the graph

Mathematics

2 answers:

galben [10]2 years ago

6 0

Answer:

Step-by-step explanation:

The roots of the graph, where it crosses the x- axis are

x = - 1, x = 2 and x = 5

The corresponding factors are then

(x + 1), (x - 2) and (x - 5)

f(x) is the product of the factors, that is

f(x) = (x - 5)(x - 2)(x + 1) → C

Usimov [2.4K]2 years ago

5 0

Answer:

Step-by-step explanation:

The points at which the graph crosses the x axis are called the zeros of the function. The zeros can be found by which number plugged in for x would result in at least one zero. In this case if you plug 5 into (x-5) you get zero, so the entire function is zero. Likewise for 2 in (x-2) and -1 in (x+1). If you look at the graph, 5, 2 and -1 are points at which the graph crosses the x axis and therefore are zeros.

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What is the area of the shape

r-ruslan [8.4K]

Answer:

36cm(squared)

Step-by-step explanation:

The top rectangle is 8*(6-4)2=16cm

the bottom is the square which is 4*5=20cm

16+20=36cm(squared)

4 0

2 years ago

If f(x)=5x^3 and g(x)=x+1, find (f•g)(x)

alukav5142 [94]

Hello from MrBillDoesMath!

Answer:

5 x^3 + 15 x^2 + 15 x + 5 , none of the provided choices

Discussion:

f(x) = 5 x^3

g(x) = x+ 1

(f•g)(x) =

f(g(x)) =

f(x+1) =

5 * (x+1)^3 =

5 x^3 + 15 x^2 + 15 x + 5

which is none of the provided answers.

Thank you,

MrB

5 0

2 years ago

In a certain town, 22% of voters favor a given ballot measure. for groups of 21 voters, find the variance for the number who fav

Galina-37 [17]

<span>c. 4.6

21 X .22= 4.6

Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.</span>

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2 years ago

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nignag [31]

Answer:

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Step-by-step explanation:

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5 0

2 years ago

Read 2 more answers

HOW MANY BASEBALLS CAN FIT INTO THE TRACTOR TRAILER. THE TRAILER DIMENSIONS ARE 301.5"L X 96.99"W X 105.04"H AND CIRCUMFERENCE R

Shkiper50 [21]

Volume of tractor = length x width x height = 301.5 x 96.99 x 105.04 = 3,071,630.624

For baseballs of 9 inches:
$9=2\pi r \\ \\ r= \frac{9}{2\pi}$

Volume = $\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9}{2\pi} \right)^3=12.31$

Number of 9 inches baseballs = $\frac{3,071,630.624}{12.31} = 249,513$

For baseballs of 9.25 inches:
$9.25=2\pi r \\ \\ r= \frac{9.25}{2\pi}$

Volume = $\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9.25}{2\pi} \right)^3=13.37$

Number of 9.25 inches baseballs = $\frac{3,071,630.624}{13.36} = 229,824$

Therefore, the tractor can contain between 229,824 and 249,513 baseballs.

8 0

2 years ago