If f(x)=x²+1 and g(x)=5x−3, what is f(g(x))?

Answer:

x= -1, y= 5

Step-by-step explanation:

Please see the attached picture for the full solution.

Matrix A is called the coefficient matrix. This means that its elements are the coefficient of x and y. In matrix X, write the unknown variables. Then write the constants in matrix B.

Theorem:

[tex]{A}^{ - 1} A = I[/tex]

☆ I is an identity matrix and can be treated as 1 when multiplying.

[tex] {A}^{ - 1} = \frac{1}{ |A| } adj(A)[/tex]

☆ [tex] |A|[/tex] is the determinant of A

☆ adj(A) is the adjoint of matrix A

Answer:

Using values of x=3 and x=-21 the result of AB and AC comes same.

Hope it helped

PLS mark BRAINLIEST

Answer:

x = 3

Step-by-step explanation:

Using the geometric mean for altitude:

x + 9 = √18 *  8 = √144,

x + 9 = 12,

x = 3

Solution: x = 3

Answer:

36.9°

Step-by-step explanation:

As shown in the diagram attached,

θ is the acute angle formed at the intersection of the diagonals of the rectangle.

From the diagram,

tan(θ/2) = 10/30

tan(θ/2) = 1/3

θ/2 = tan⁻¹(1/3)

θ/2 = 18.43

Therefore,

θ = 18.43×2

θ = 36.87

θ = 36.9°

Hence the acute angle formed is 36.9°

Answer:

Pentagonal Prism

Answer:

the cost for the large popcorn and the small drink is $4 and $3 respectively

Step-by-step explanation:

The computation of the cost for the large popcorn and the small drink is shown below:

Let us assume the cost of the large popcorn be x

ANd, the small drink cost be y

Now as per the question

2x + 4y = $20

2x + 2y = $14

Now subtract equation 2 from equation 1

2y = $6

y = $3

Now for x it is

2x + 12 = $20

2x = $8

x = $4

Hence, the cost for the large popcorn and the small drink is $4 and $3 respectively

Answer:

50.....

................

Answer:

50

Step-by-step explanation:

Answer:300

Step-by-step explanation:

Answer:

Step-by-step explanation:

parell lines have same slopes

perpendical line slope product is -1

Step-by-step explanation:

option B 52 is the correct answer of this question.

plz mark my answer as brainlist plzzzz.hope this will be helpful to you ☺️.

Answer: d pretty sure :)

Step-by-step explanation:

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer......

Hint: We will multiply and divide a same number greater than 2 to both the given numbers, say 3 as 3>2. When we will multiply and divide by 3, the numbers 2 and 3 will be equivalent to 63 and 93. Now, we can easily write two rational numbers between 2 and 3.

Hope it helps!

mark me brainliest plz......

Follow me! ;)

Step-by-step explanation:

You have to multiply both numbers by 3

2*3/3 = 6/3. and 3*3/3 = 9/3

Now, we can easily write two rational numbers between 2 and 3

7/3 , 8/3

Answer:

29.6 - 0.2 = 29.4

29.4 divided by 24 = 1.225 km

Answer:

1.225

Step-by-step explanation:

29.6-0.2=29.4

24/29.4=1.225

Answer:

2/3 she will not win a prize

Step-by-step explanation:

1 in 3 balloons have a prize therefore 2 in 3 balloons do not have a prize

Answer:

x=60

Step-by-step explanation:

125=2x+5

125-5=120

120÷2=60

x=60

Answer:

Step-by-step explanation:

let the system be 2x+3y=4

8x+12y=16

Answer:

456 in³

Step-by-step explanation:

To find the volume of the box, use the volume formula, V = lwh

Plug in the length, width, and height:

V = lwh

V = (9.5)(8)(6)

V = 456

So, the volume of the box is 456 in³

Answer:

its A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Use the Pythagorean theorem

Answer:

Step-by-step explanation:

Distributive property: a*(b + c) =(a*b) + (a*c)

Multiply x by (-1) and (-2) by (-1)

-1(x - 2 ) = (-1)*x - 2 *(-1)

              = -x + 2

Answer:

<1 and <5

Step-by-step explanation:

<5 and <2 are vertically opposite. They are not complementary but they are equal

<3 is a right angle. <2 is an acute angle. They are not complementary.

<3 and <6 are both right angles. They are also vertically opposite angles and are are therefore equal. They are not complementary.

Answer: <1 and <5

<1 and 2 are complementary. <2 and <5 are vertically opposite and equal.

<1 and <5 are complementary.

Answer:

Here is the step: Area of triangle = 1/2 (height x base) = 1/2 (9 x 18) = 81

Step-by-step explanation:

Then the Area of the rectangular = 12 x 18 = 216

So the  total Area of the figure is = 81 + 216 = 297

I hope it help.. give me brainiest

Answer:

10 inches long

Step-by-step explanation:

Answer:

10 inches is the anwser

Step-by-step explanation:

8 +2 =10

Answer:

...

Step-by-step explanation:

Answer:

I think 324. Please tell me if wrong. I will try again.

Step-by-step explanation:

9*12*6=648

648/2=324

Answer:

5

Step-by-step explanation:

(5x + 10) + 55 = 90

5x + 10 + 55 = 90

5x + 65 = 90

5x + 65 - 65 = 90 - 65 (the 65 crosses off)

5x = 25

5x/5 = 25/5

x = 5

Answer:

is it A?

Step-by-step explanation:

I think it's A because no one has answered!

Answer:

5 1/4 units

Step-by-step explanation:

Answer:

n – 1,400 = 7,437

Step-by-step explanation:

A baby elephant weighs 1,400 pounds, which is 7,437 pounds less than her mother.

Let us represent :

Weight of the mother elephant = x

Weight of the baby elephant = y

A baby elephant weighs 1,400 pounds, which is 7,437 pounds less than her mother.

y = x - 7437 pounds

Hence,

1400 pounds = x - 7437 pounds

The weight of the mother elephant =

x = 1400 pounds + 7437 pounds

Therefore, the equation that expresses the weight of the mother where, the weight of the mother = n is:

n – 1,400 = 7,437

Answer:

(24,4,84)

Step-by-step explanation:

Just subtitute each value

Answer:

2x-2  -2 is the y intercept and the 2x is the rate of change its easy lol

Step-by-step explanation:

Answer:

a

Step-by-step explanation: