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3 years ago

If h(x) = x3 + x and g(x) = 2x +3, then g(h(2))

Mathematics

2 answers:

natta225 [31]3 years ago

6 0

They are both equal 22 so it’s equal

vovikov84 [41]3 years ago

3 0

Answer:

They both equal 23 so it’s a true statement

Step-by-step explanation:

h(x) = x3 + x and g(x)

h(2) = 2^3 + 2

= 8 + 2

= 10

g(h(2))

= g(10)

= 2*10 + 3

= 20 + 3

= 23

2x +3, then g(h(2))

h(2) = 2^3 + 2 = 8+2 = 10

Now we will substitute into g(h(2)

g(h(2)) = g(10)

Now we will substitute into g(x).

g(10) = 2*10 + 3 = 23

g(h(2)) = 23

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Find the length of the missing side. triangle with an 8 inch side and 12 inch side with a right angle 8.9 in. 104 in. 4 in 14.4

Mamont248 [21]

Given:

In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.

To find:

The length of the missing side.

Solution:

In a right angle triangle,

$Hypotenuse^2=Perpendicular^2+Base^2$

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.

Substituting Perpendicular = 8 inches and Base = 12 inches, we get

$Hypotenuse^2=8^2+12^2$

$Hypotenuse^2=64+144$

$Hypotenuse^2=208$

Taking square root on both sides, we get

$Hypotenuse=\sqrt{208}$

$Hypotenuse=14.422205$

$Hypotenuse\approx 14.4$

The length of the missing side is 14.4 inches. Therefore, the correct option is D.

4 0

2 years ago

Let f(x)=−1/4(x+4)^2−8 . What is the average rate of change for the quadratic function from x=−2 to x = 2? Enter your answer in

kiruha [24]

Answer:

Average rate of change of function is -2.

Step-by-step explanation:

Given $f(x)=\frac{-1}{4}(x+4)^2-8$ .

we have to find the average rate of change for the quadratic function from x=−2 to x = 2.

$f(-2)=\frac{-1}{4}(-2+4)^2-8=\frac{-1}{4}(4)-8=-9$

$f(2)=\frac{-1}{4}(2+4)^2-8=\frac{-1}{4}(36)-8=-17$

The average rate of change of the function f(x) on interval [-2,2] is

$\frac{f(b)-f(a)}{b-a}=\frac{f(2)-f(-2)}{2-(-2)}=\frac{-17-(-9)}{4}=\frac{-8}{4}=-2$

3 0

3 years ago

What is the simplest form

SCORPION-xisa [38]

Answer:

3x^2y\sqrt(y)

Step-by-step explanation:

(\sqrt() means square root

its the 2nd one

4 0

2 years ago

How does the graph of g(x)=

kiruha [24]

Answer:

Og(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

To understand how the parent function is transformed, you have to look at a few things.

Firstly, is there a negative sign in front? If there is, then the function is flipped around the y-axis

Second, on the part where the x is included (in this case it is x+4) you have to see if there is a negative sign in front of this. If this is the case, then the formula is flipped around the x-axis

Third, If the part with the x is being added to, then the graph is being translated to the left that many units. If it is being subtracted from, then it is being translated to the right that many units (in this case it is x+4, so we move to the left 4 units) ((it is the opposite of what would be common sense, I know))

Lastly, if the whole thing is being added to, move up that many units. If it is subtracted from, move down that many units (in this case it is 1/x+4 - 6) (( this one does follow common sense))

There are other factors, such as leading coefficients (on just the x part or the whole thing) and other stuff I'm sure I don't remember )

For more information: https://mathhints.com/parent-graphs-and-transformations/

7 0

1 year ago

CAN SOMEONE PLEASE HELP I WILL GIVE 50 POINTS

Alex777 [14]

Answer:

What do you need help with?

Step-by-step explanation:

6 0

2 years ago