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3 years ago

Need help with this . The picture is enclosed

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

3 0

Answer: (fоg)(24)=5

Step-by-step explanation:

(fоg)(24) is f of g of 24. This means you plug in g(24) into f(x).

$g(24)=\sqrt{24-8}$

$g(24)=\sqrt{16}$

$g(24)=4$

Now that we know g(24), we can plug it into f(x).

f(4)=2(4)-3

f(4)=8-3

f(4)=5

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3 years ago

Cousin Hector drove 1,851 miles to the reunion. He lives in Mexico and drove 747 miles through that country to the United States

Sonja [21]

Answer:

1104 miles

Step-by-step explanation:

Say he lives in a place in Mexico which is at a distance of a miles from the Mexico-America border point and the reunion is at b miles from the same border point, in America.

So the total distance travelled is ( a + b ) miles

( this is just sum of distance travelled in Mexico + that in America )

Given , a=747 and a+b=1851

that implies:

747 + b = 1851

So, b = 1104 miles.

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3 years ago

What are the coordinates of the hole in the graph of the function f(x) ?

Vinvika [58]

ANSWER

$(3, \infty )$

EXPLANATION

The given function is

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$

When we plug in x=3 into this function, we obtain,

$f(3) = \frac{0}{0}$

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

$f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}$

This implies that,

$f(x) = x + 3$

The graph this function is a straight line that is continuous everywhere.

To graph

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$
we draw the graph of

$f(x) = x + 3$
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

$(3, \infty )$

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3 years ago

A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 5 pounds of chocolate chips, the total cost

oksian1 [2.3K]

It will be $2.50 for each pound of walnuts, and it will be $1 for each pound of chocolate chips.

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3 years ago

Read 2 more answers

Radius question * answers listed on pic but I just need a step by step explanation *

Rama09 [41]

Step-by-step explanation:

Let A(x) be the area function of given rectangle.

Radius of circle = 7x

Therefore, length of rectangle = 14x

Width of rectangle = 7x

$\therefore \: A(x) =l\times w \\ = 14x \times {(7x)} \\ =98x^2 \\ \huge \red{ \boxed{ \therefore \: A(x) =98 {x}^{2} }}$