If f(x) = 5x^3 and g(x) = x+1, find (f•g)(x).

Answer:

x = 2,  y=3

Step-by-step explanation:

3x + y = 9

5x + 4y = 22

Multiply the first equation by -4

-4(3x + y) = 9*-4

-12x -4y = -36

Add this to the second equation to eliminate y

-12x -4y = -36

5x + 4y = 22

---------------------------

-7x    = -14

Divide each side by -7

-7x/-7 = -14/-7

x = 2

Now find y

3x+y = 9

3(2) +y = 9

6+y = 9

Subtract 6 from each side

-6+6 +y = 9-6

y = 3

Answer:

x = 2, y = 3

Step-by-step explanation:

3x + y = 9 (1)

5x + 4y = 22 (2)

Multiply equation (1) by -4 and add to equation (2)

-12x - 4y = -36

5x + 4y = 22

-7x = -14

x = 2

Using any equation, solve for y

5(2) + 4y = 22

4y = 12

y = 3

Answer:

2 units up

Step-by-step explanation:

You're just taking the  entire graph of cos(x) and then adding 2 so it moves everything up.  If you added 2 to x BEFORE taking the cosine

(like y = cos (x+2) ), then you would shift it left 2.  Adding and subtracting from the x moves everything left or right.  Adding or subtracting at the end just moves it up and down.

The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the graph of y = cos x + 2 is the graph of the y = cos(x) shifted in which direction.

Here, The function is,

⇒ y = cos x

Now, After translate 2 units up, we get;

⇒ y = cos x + 2

Thus, The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

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Answer:

6, -7

Step-by-step explanation:

when I followed those instructions, that's what i got.

:)

Answer:

x=20

Step-by-step explanation:

73-13=60

60÷3=20

Answer:

x = 20

Step-by-step explanation:

3x + 13 = 73

3x = 73 - 13

3x = 60

x = 60 : 3

x = 20

Answer:

#11: 1180.428 571

#12: 80.166... repeating

#13: 237.5

#14: 686

#15: 2682.333 repeating

#16: 122

Step-by-step explanation:

Hopes this helps. Also #12 and #15 are repeating. Just FYI.

Answer:

48

Step-by-step explanation:

2 x 8 + 2 x 7 + 2 x 9 = 48

HOPE IT HELPS!!!!

Answer:

4/25

Step-by-step explanation:

Total amount of marbles: 8 + 5 + 12 = 25

With 25 marbles, the probability of picking a red is: 12/25

After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3

Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25

Answer:

[tex]3m\sqrt[5]{2m^4p^4}[/tex]

Step-by-step explanation:

We want to find the fifth root of [tex]486m^9p^4[/tex]. In order to do so, we need to factorise

Let's factorise 486 first:

486 = 2 * 243 = 2 * [tex]3^5[/tex]

Ah, we see that [tex]3^5[/tex] can be taken out and becomes 3 outside of the 5th root since the 5th root of

Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.

We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.

Our final answer is thus: [tex]3m\sqrt[5]{2m^4p^4}[/tex].

~ an aesthetics lover

Answer:

B. [tex]\frac{d + 13}{d + 4}[/tex]

Hope this Helps :)

Answer:

x = 45

Step-by-step explanation:

The sum of the angles of a triangle is 180

80+55+x = 180

135 +x = 180

Subtract 135 from each side

x = 180-135

x =45

Answer:

45

Step-by-step explanation:

combining the a and b lengths gives you 135 then subtract by 180 and you get 45.

Answer:

8 feet

Step-by-step explanation:

Hello, I can help you with this.

the volume of a sphere is given by.

[tex]Volume= \frac{4}{3} \ \pi\ radius^{3}\\\\[/tex]

Step one

isolate radius

[tex]\frac{3}{4}* volume= \pi\ radius^{3}\\\\\\\ \frac{3}{4 \pi }* volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}[/tex]

According to the question the volume is 267.95 cubic feet , and pi= 3.14

put this values into the equation

let

volume =267.95

pi=3.14

[tex]volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}\\radius=\sqrt[3]{\frac{3}{(4 *3.14) }*267.95}\\radius=\sqrt[3]{64}\\\\radius=4[/tex]

so the radius of the beach ball is 4 feet, but we need its diameter

Diameter=2* radius

radius=4 feet

Diameter= 4 feet*2

Diameter=8 feet

what a big ball¡¡

I hope it helps, have a great day.

Answer:

6y² - 20y + 6

Step-by-step explanation:

Use FOIL method

(3y - 1)(y-3) = 3y*y + 3y*(-3) + (-1)*y + (-1)*(-3)

                 = 3y²- 9y - y + 3    {add the like terms}

                = 3y² - 10y + 3

2(3y - 1)(y - 3) = 2 ( 3y² - 10y + 3)

                      = 2*3y² - 2*10y + 2*3

                      = 6y² - 20y + 6

Answer:

The side length is 2 ft

Step-by-step explanation:

A cube has a volume of

V = s^3

8 = s^3

Take the cube root of each side

8 ^ 1/3  = s^3 ^1/3

2 = s

Answer: 1. $3.85

2. $1.55

3. 7/12

Step-by-step explanation:

1. Since you are finding out price PER gallon, you would divide $46.20 by 12 because Jayden bought 12 gallons.

2. Since they give you the price per gallon and the amount bought in this problem, you will multiply 1.2 and $1.29. Think of this as if you were buying 5 apples and each cost $1, you would do 5 x 1 to find the total cost. The same concept applies here.

3. To add 1/4 and 1/3 you would find a common denominator. The common denominator would be 12.  1/4 = 3/12 and 1/3 = 4/12. Now you can add them together, 3/12 + 4/12 = 7/12

Answer:

Step-by-step explanation:

(-4,0) ; (-7, -14)

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178[/tex]

Answer:

4p - 48

Step-by-step explanation:

(4 × p) + (4 × 12)

I hope this helps!

Answer:

4p - 48

Step-by-step explanation:

(4 × p) + (4 × 12)

Answer:

The range is 9 i think I'm not sure.

step-by-step explanation:

The unit of metric measurement used

when measuring the width of your

pencil point is millimeters

Answer:

90

Step-by-step explanation:

a)

Since, to find the average of a set of numbers, you need to add them all together and divide by the amount of numbers:

[tex]\dfrac{86+83+81+x}{4}=85[/tex]

b)

Multiply both sides by 4:

[tex]86+83+81+x=340\\x=90[/tex]

Hope this helps!

Answer:

y = -11/2x - 52

Step-by-step explanation:

Now follow the equation for slope: m = change in y / change in x.

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-8-3}{-8--10}[/tex]

[tex]\frac{-11}{2}[/tex]

The slope is -11/2. m=-11/2

Use slope-intercept form:

y=mx+b

Plug in a point and the slope:

-8 = (-11/2)(-8) + b

-8 = 44 + b

b = -52

y = -11/2x - 52

Answer:

-11/2x-52

Step-by-step explanation:

i know it is correct

Answer:

x (40-10) -12000≥980

The factory must sell 433 backpacks to meet its weekly goal.

Hi, to answer this question we have to write an inequality.

So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.

12,000 of operating expenses are also expenses.

So, for the profit:

Profit = revenue- cost

P = 40x-10x-12,000

P = x (40-10)-12000

The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.

x (40-10) -12000≥980

Solving for x

30x-12000≥980

30x≥980+12000

30x ≥12980

x≥12980/30

x≥432.6

x≥433 (rounded, because if the sell 432 they will not meet the goal)

The factory must sell 433 backpacks to meet its weekly goal.

Step-by-step explanation:

Answer:

C: Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN.

Step-by-step explanation:

Just took assignment.

Answer:

C

Step-by-step explanation:

c

Answer:

The answer is A I JUST DID it

The cross section of the figure is Pentagon.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A plane intersects a pentagonal pyramid horizontally as shown.

Now, By the given figure,

The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.

Hence, It represent the Pentagon.

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Answer:

51.9

Step-by-step explanation:

because one side is 30 and another is 60, you can assume the 3rd side of the triangle is 51.9 because of the 30-60-90 rule which states that if each angle of a triangle is 30, 60, and 90, then the side lengths equal x (30), 2x (60), and x√(3) (~51.9).

The base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.

"A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle".

For the given situation,

A rectangular door has a diagonal, d = 60

A rectangular door has a height, h = 30

When we draw a diagonal to a rectangle, this portion forms a right-angled triangle. The length of the triangle can be found by using the Pythagoras theorem.

The formula of Pythagoras theorem,

[tex]Hypotenuse^{2} = base^{2}+perpendicular^{2}[/tex]

[tex]Base=\sqrt{(Hypotenuse)^{2} -(Perpendicular)^{2} } \\[/tex]

On substituting the above values,

⇒ [tex]Base = \sqrt{60^{2}-30^{2} }[/tex]

⇒ [tex]Base=\sqrt{2700}[/tex]

⇒ [tex]Base=51.9[/tex]

The formula to find the area of a right-angle triangle, [tex]A = \frac{1}{2}(base)(height)[/tex]

⇒ [tex]A = \frac{1}{2}(51.9)(30)[/tex]

⇒ [tex]A=778.5[/tex]

Hence we can conclude that the base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.

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Answer:

5$

Step-by-step explanation:

70%x8.50 equalss 5$

$8.5−  30

/100  =  41

/5

(Decimal: 8.2)

Answer:

Your answer is A . 8

Step-by-step explanation:

hope it helps !

Answer:

It's 20 because 5ft times 4ft gives you 20ft