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3 years ago

If f(x)=x^2-7 and h(x)=7x-5, then f(h(2))=

1 answer:

5 0

We are given 3 equations. Using these equations we can find f(h(2)).

h(x)=7x-5
h(2)=7(2)-5
h(2)=14-5
h(2)=9

f(x)=x^2-7
f(h(2))=(7x-5)^2-7
we know the answer for h(2) by now, so we can substitute for that.
f(9)=9^2-7
f(9)=81-7
f(9)=74

so f(h(2))=74

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Brilliant_brown [7]

Answer:

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Step-by-step explanation:

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1 year ago

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klasskru [66]

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3 years ago

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This is a graph of y<2x+5 what is true about point A on the graph

Ilya [14]

Answer: "Point A is a solution because it is in the shaded area

Step-by-step explanation:

When we have an inequality like the one shown in the graph, the shaded area represents the possible solutions to the inequality.

If we have a dashed line, then the points in the line are not solutions (this is the case of the symbols > and < )

If the line is solid, then the points of the line are solutions (this is the case of the symbols ≤ and ≥)

In the graph we can see that point A is inside the shaded area, then point A is a solution.

Then the correct option is:

"Point A is a solution because it is in the shaded area"

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2 years ago

According to the fundamental Theorem of algebra, which polynomial function has exactly 11 roots?

liraira [26]

<h2>Explanation:</h2><h2></h2>

The Fundamental Theorem of Algebra states the following:

<em>For</em><em> </em><em>any polynomial of degree n we will have n roots.</em>

<em />

So the general form of the equation of a polynomial is:

$A \ \mathbf{polynomial \ function} \ of \ x \ with \ degree \ n \ is \ given \ by:\\ \\ f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\ldots +a_{2}x^{2}+a_{1}x+a_{0} \\ \\ where \ n \ is \ a \ nonnegative \ integer \ and \ a_{n}, a_{n-1}, \ldots a_{2}, a_{1}, a_{0} \\ with \ a_{n}\neq$

Since our polynomial will have exactly 11 roots, then the equation will have the following form:

$f(x)=a_{11}x^{11}+a_{10}x^{10}+\ldots +a_{2}x^{2}+a_{1}x+a_{0}$

4 0

2 years ago

find the 20th term of an arithmetic sequence with a first term of 3 and a common difference of 5. a. 87 b. 98 c. 101 d. 130

Nady [450]

The formula for the nth term of an arithmetic sequence is:
$n_{th} \ term=a+(n-1)d$
where a is the first term and d is the common difference.
Plugging the given values into the formula, we get:
$20th\ term=3+(20-1)5=98$
The answer is b. 98.

3 0

3 years ago