Find g[h(x)] and h[g(x)] of the functions g(x)=x^2-7 and h(x)=3x+2

Step-by-step explanation:

➡(5x-2)(5x+2)=12

➡5x^2-(2)^2=12

➡25x^2-4=12[/tex]

➡25x^2=12+4=16

Step-by-step explanation:

[tex] \rm \mapsto \: (5x - 2)(5x + 2) = 12 \\ \rm \mapsto \: 5x(5x + 2) - 2(5x + 2)=12 \\ \rm \mapsto \: {25x}^{2} + 10x - 10x - 4 =12\\ \rm \mapsto \: {25x}^{2} - 4=12 \\ \rm \mapsto \:25x^2=12+4 \\ \rm \mapsto \: 25x^2=16[/tex]

Answer:

12,-15

Step-by-step explanation:

Answer:

Jimmy ran 12 miles last week.

Step-by-step explanation:

32-20=12

Answer:

the constant is 3 the coefficant is y and the varible is a and the factors of 9 are 18 and 27

Step-by-step explanation:

Answer:

The constant is 3

The coefficient is 12

The variables are both A and Y.

Disclaimer: I'm not sure about this next one, but I believe it's right.

9x factors are 3x, 1, and 9x.

If you wanted me to factor it, then it'd be something like 3x(3)

Step-by-step explanation:

A constant is a number that is by itself. Variables can't be constants. In this case, the only number that is by itself, that isn't a variable is 3. Therefore, 3 is the constant.

A coefficient is a number that accompanies the variable. Normally in a math equation, a variable is multiplied by a number. In this case, A is being multiplied by 12, so 12 is the coefficient.

The variable is the letter that represents any number. In this case, there are two variables, A and Y. They both represent numbers that can differ. So, A and Y are the variables.

The factors of 9x are 3x, 3, 1x, 1, 9x, and 9.

9 times 1x is 9x, 9x times 1 is also 9x.

3 times 3x is 9x, and 3x times 3 is again, 9x.

Sorry if I was wrong about the 4th one.

Answer:

20 or 18

Step-by-step explanation:

The value of x is 10.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

From the triangle it can be assume that ΔPSR is similar to ΔPQR.

Then, the ratio of corresponding sides of triangles are proportion.

So, PQ/ PS = QR/ RS

9/15 = 6 /x

9x = 90

x= 90/9

x= 10

Thus, the value of x is 10.

Learn more about proportion here:

https://brainly.com/question/29774220

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Answer:

It's A

Step-by-step explanation:

Got it right on the practice :)

Based on the data presented , the answer is that Yes, it show repeated and periodic behavior. and thus the data indicate that a sine regression is appropriate in this case.

This occurs as our Moon is said to orbits around Earth. the side of the moon that is facing the Sun is said to be illuminated due to the sun's brightness, just like when the Earth's daylight side is also said to be illuminated by the Sun.

We tend to have a “new Moon” only when our Moon is said to orbit  around the Earth and thus moves it between Earth and the Sun.

See options below

Using the information above, plot the data points. Does this data indicate that a sine regression may be appropriate in this case?

a. Yes, it shows repeated and periodic behavior.

b. Yes, it shows a curve increasing from left to right.

c. No, the points are random.

d. No, the points depict a parabola.

Learn more about phases of the moon from

https://brainly.com/question/13538936

The volume of a trapezoidal prism is 471.5 m³.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

We know volume of a trapezoidal prism is [(1/2)×(b₁+b₂)×h}×H.

Therefore, The volume of this trapezoid is,

= (1/2)×(24 + 19)×21 m³.

= (1/2)×(43)×21 m³.

= 471.5 m³.

learn more about trapezoids here :

https://brainly.com/question/8643562

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Answer:

2 units ^2

Step-by-step explanation:

A = 1/2 (2) (2)

A = 4/2 = 2

Answer:

Hello There!!

Step-by-step explanation:

I think the answer is possibly (b) equal molecules of each .

hope this helps,have a great day!!

~Pinky~

Answer:

6

Step-by-step explanation:

Answer:

(-6,-5)

Step-by-step explanation:

X+y=-11

solve for x

x=-11-y

substiute x value into 2nd equation

2x-3y=3

2(-11-y)-3y=3

-22-2y-3y=3

-5y=25

y=-5

substitute -5 for y in either equation to find x

x+y=-11

x+-5=-11

x=-6

Answer:

b hope it helps make brainlliest ty

Answer:

X is 30. Y is 150.

Step-by-step explanation:

Hope this helps

Answer:

(-2,-5)

Step-by-step explanation:

When we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y)

Answer:

(-2 , -5)

Step-by-step explanation:

rotated 180 degrees clockwise around the origin: (x , y) -> (-x , -y)

Answer:

X = 3.01

Step-by-step explanation:

To solve for x, you first need to get x by itself. So you would minus 19.95 from both sides. Which would then be

5x = 15.05

Again x is not by itself so you would divide both sides by 5, the eqation would then be

x = 3.01

Which is the answer. If you want you can double check your work by putting the answer back in the eqaution.

5(3.01) + 19.95 = 35

If the statement is true that means you have the right answer

15.05 + 19.95 = 35

35 = 35

We are correct! Hope this helps with your question and how to do others like it.

Answer:

Step-by-step explanation:

Answer:

B

14

I think it is right :D

Step-by-step explanation:

Answer: B, 14

Step-by-step explanation:

The median is the number in the middle of the set if the numbers are in order.

And if there is an odd amount of numbers.

The number in the middle of the list is 14.

If the list doesn't have an odd amount of number you add the 2 middle ones and take the average so divide by 2.

Step-by-step explanation:

guessing

volume is always unit cubed

so in this case inches cubed or in^3

so multiply all 3 numbers

carry on is 22×14x9= 2772 in^3

leather is 18×12×8 = 1728 in^3

canvas is 18×15×10 = 2700 in^3 but the depth in ge's canvas 15" in larger than the carry on checklist

so

the leather will definitely fit

Answer:

C and E

sorry for the late answer

[tex]\huge{\mathbb{\tt{QUESTION↓}}}[/tex]

1. in how many ways can you arrange five mathematics books,four science books,and three english books, on a shelf such as that books of the same subject are kept together.

[tex]\huge{\mathbb{\tt{SOLUTION↓}}}[/tex]

[tex]\textsf{ Given that: M=5 , S=4 , E=3}[/tex]

[tex]\begin{gathered}\\\end{gathered} [/tex]

[tex]\textsf{ Using the Linear Permutation:} [/tex]

[tex]\sf{P=n!}P=n![/tex]

[tex]\sf{P=5!}P=5![/tex]

[tex]\sf{P=5×4×3×2×1}[/tex]

[tex]\sf{P=120}[/tex]

[tex]\begin{gathered}\\\end{gathered}[/tex]

P=n!}

P=4!

P=4×3×2×1

P=24

P=n!

P=3!

P=3×2×1

P=6

Multiply all the permutations:

P=120×24×6

P=17,280

[tex]\huge{\mathbb{\tt{ANSWER↓}}}[/tex]

There are 17,280 ways we can arrange in a shelf.

#CarryOnLearning

#LetsEnjoyTheSummer

Answer:

42

Step-by-step explanation:

17 + 25 = 42

Answer:

Assuming π is represented by 3.14, the correct answer is [tex]50.24m^2[/tex].

Step-by-step explanation:

Because the question is asking for the area of the shaded region, you can ignore the non-shaded versions of the diagram. The formula of finding the area of a circle is [tex]\pi r^2[/tex], where r is the radius of the circle. Since the radius of the shaded circle is [tex]4m[/tex], you can infer that the area of the shaded region would be [tex]4^2 * 3.14[/tex] = [tex]16*3.14[/tex] = [tex]50.24m^2[/tex].

Answer:

Step-by-step explanation:

oknjbgfkdfrgn jnfbfl

Answer:

21

Step-by-step explanation:

Write the problem as a mathematical expression.

140% ⋅15

Convert  140 %  to a decimal.

1.4 ⋅15

Multiply 1.4 by 15.

21

Hope that helps!

Answer:

What is OBJ X = -81

Step-by-step explanation:

Answer:

3/5 = 6/10 (multiplicando x2)

Step-by-step explanation:

Answer:

[tex]\frac{6}{10} \frac{9}{15 }[/tex] [tex]\frac{12}{20}[/tex]

Answer:

Step-by-step explanation:

Both sides of the equation are exactly same.

It means regardless the value of x the equation is true.

The equation has infinitely many solutions.

As both sides are equal

There present infinite number of solutions

Answer:

area = 2184 ft²

Step-by-step explanation:

height² = 60² - 36² = 3600 - 1296 = 2304

height = √2304 = 48

base = 36 + x

x² = 73² - 48² = 5329 - 2304 = 3025

x = √3025 = 55

base = 36 + 55 = 91

area = 1/2(h)(b) = 1/2(48)(91) = 2184 ft²