f(x)2x²+1and g(x)=x²-7find (f+g)(x)

Answer:

10.52 inches away

Step-by-step explanation:

200/19

Answer:36

Step-by-step explanation:

Answer:

$64

Step-by-step explanation:

Since the store buys the racket for $40 then marks it up, the store is selling it for 160% of the wholesale price. X is the price we are looking for - the price after it was marked up.

40 / x = 100/160

(40/x) * x = (100/160) * x      

40 = 0.625 * x  

40/0.625 = x

64 = x

x = 64

Answer:

Θ = 0, π, [tex]\frac{7\pi }{6}[/tex], [tex]\frac{11\pi }{6}[/tex]

Step-by-step explanation:

Using the identity

cos2Θ = 1 - 2sin²Θ, then

sinΘ + 1 = 1 - 2sin²Θ ( subtract 1 - 2sin²Θ from both sides )

2sin²Θ + sinΘ = 0 ← factor out sinΘ from each term

sinΘ(2sinΘ + 1) = 0

Equate each factor to zero and solve for Θ

sinΘ = 0, hence

Θ = [tex]sin^{-1}[/tex] (0) = 0, π, 2π

2sinΘ + 1 = 0 → sinΘ = - [tex]\frac{1}{2}[/tex] , thus

Θ = [tex]sin^{-1}[/tex] ( - [tex]\frac{1}{2}[/tex] ) = - [tex]\frac{\pi }{6}[/tex]

Since sinΘ < 0 then Θ is in third/ fourth quadrants, thus

Θ = π + [tex]\frac{\pi }{6}[/tex] = [tex]\frac{7\pi }{6}[/tex] or Θ = 2π - [tex]\frac{\pi }{6}[/tex] = [tex]\frac{11\pi }{6}[/tex]

Solution is

Θ = 0, π, [tex]\frac{7\pi }{6}[/tex], [tex]\frac{11\pi }{6}[/tex] for 0 ≤ Θ < 2π

Answer:

f(x) = 2x³ - 12x² - 2x + 60

Step-by-step explanation:

Given that the zeros are x = - 2, x = 3, x = 5 , then the factors are

(x + 2), (x - 3), (x - 5)

The polynomial is then the product of the factors, that is

f(x) = a(x + 2)(x - 3)(x - 5) ← a is a multiplier

To find a substitute (6, 48) into the polynomial

48 = a(8)(3)(1) = 24a ( divide both sides by 24 )

a = 2 , thus

f(x) = 2(x + 2)(x - 3)(x - 5) ← expand the last 2 factors using FOIL

     = 2(x + 2)(x² - 8x + 15) ← distribute the parenthesis

     = 2(x³ - 8x² + 15x + 2x² - 16x + 30)

     = 2(x³ - 6x² - x + 30) ← distribute by 2

     = 2x³ - 12x² - 2x + 60

Using the factor theorem, it is found that the polynomial function is given by:

[tex]p(x) = 2(x^3 - 6x^2 - x + 30)[/tex]

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

Factor theorem:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

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

The polynomial is given by:

[tex]p(x) = a(x - x_1)(x - x_2)(x-x_3)[/tex]

[tex]p(x) = a(x - (-2))(x - 3)(x - 5)[/tex]

[tex]p(x) = a(x + 2)(x - 3)(x - 5)[/tex]

[tex]p(x) = a(x^2 - x - 6)(x - 5)[/tex]

[tex]p(x) = a(x^3 - 6x^2 - x + 30)[/tex]

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

[tex]p(x) = a(x^3 - 6x^2 - x + 30)[/tex]

[tex]48 = a(6^3 - 6(6)^2 - (6) + 30)[/tex]

[tex]24a = 48[/tex]

[tex]a = \frac{48}{24}[/tex]

[tex]a = 2[/tex]

Thus, the polynomial is given by:

[tex]p(x) = 2(x^3 - 6x^2 - x + 30)[/tex]

A similar question is given at https://brainly.com/question/24380382

Answer:

spending their money

Step-by-step explanation:

answer to a = spending

Answer:

a) Spending

b) John - $60

Collin - $80

c) 6

d) 4

e) idk ‍

f) Day 2

Answer:b=8

Step-by-step explanation:14-10=4 then you do 4(2)=8

The product of two rational numbers is always rational

Proof:

Let a = p/q and b = r/s be two rational numbers. We will have p,q,r,s be integers where denominators q and s are nonzero. We cannot divide by zero.

Multiplying a and b gives

a*b = (p/q)*(r/s) = (p*r)/(q*s)

Due to the closure property of integer multiplication, the expressions p*r and q*s are integers. The result we get is in the form of integer/integer. Basically we have two integers being divided. Furthermore, q*s is nonzero as neither q nor s is zero.

Therefore, if a and b are rational, then a*b is also rational as well.

Answer:

C -1/2

Step-by-step explanation:

Answer:

The answer is C. -1/2

Step-by-step explanation:

I took the test and i got a 100%. Have a good day!!!!!

                               :-)  ;-)

Answer:

6.2m is how much he would save

Step-by-step explanation:

i got it right on khan academy good luck

Answer:

6.2 meters

Step-by-step explanation:

I got it right on a test.

Answer:

best food to eat is a mixture of non diary and diary like avocado toast

Step-by-step explanation:

Answer:

y = 80+ 15*x

members = initial membership + growth* months

y = 80+ 15*x

Answer:

-53/12

Step-by-step explanation:

Answer:

y = -6

Step-by-step explanation:

To simplify this equation as much as possible, we have to get the variable y by itself.

To do this, we would do the inverse operation of subtraction and add 7 to the left and right side of the equation.

-7 + 7 + 5y = -37 + 7

The 7s cancel out on the left side because -7+7 = 0 and so we are left with,

5y = -30

Then we would do the inverse operation of multiplication and divide by 5 on the left and right side of the equation.

5y/5 = -30/5

y = -6

So,

m<1=45, m<2=135

So the right answer is of option D.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

a number subtracted from five

Step-by-step explanation:

All the other choices mean n - 5, except this one, which means 5 - n.

Answer:

a number subtracted from

from five

is the answer to the question

Answer:

5 sides

Step-by-step explanation:

Area=1/2aP

180=1/2(6)(12x)

3(12x)=180

36x=180

x=5

Answer:

5/18

Step-by-step explanation

when you divide 5/6 by 3 you multiply 5/6 by 1/3 and you get 5/18!

I hope this helps!

Answer:

Joey sold 6 cars

Step-by-step explanation:

Joey earns $350 per week + $200 per car he sells

The number of cars that he sold last week is unknown, so represent it with a variable, x.

Write an equation

$350 + $200x = $1,550

Subtract $350 from both sides of this equation

$200x = $1200

Divide both sides of the equation by 200

x = 6

Joey sold 6 cars

Hope this helps :)

Answer:

The variable is the main part, it is the base of the whole thing

The variable is the main part, it is the base of the whole thing that shows all the critical points for the inequality ? , x = 1, and x = 2 x = –6 and x = 2 x = –4 and x = 2 x = 2.

Solve a rational inequality.

Determine the critical points–the points where the rational expression will be zero or undefined. Use the critical points to divide the number line into intervals. Test a value in each interval. Above the number, the line shows the sign of each factor of the rational expression in each interval.

To find the critical points of a function y = f(x), just find x-values where the derivative f'(x) = 0 and also the x-values where f'(x) is not defined. These would give the x-values of the critical points and substituting each of them in y = f(x) will give the y-values of the critical points.

Learn more about critical points for the inequality at

https://brainly.com/question/12476632

#SPJ2

Answer: I believe it’s A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

78 is the median

Answer:

4, 5, 6

Step-by-step explanation:

An exterior angle is an angle outside of the triangle

Answer:D <5

Step-by-step explanation:

Test

Answer:

Area is almost the same as surface area. However, surface area is more complicated, and you have to split the object that you are measuring into different parts to get their area before you can find the whole surface area.

Step-by-step explanation:

(I hope this helped you)

Answer: No, it is not

Step-by-step explanation:

AREA DEFINITION:  Area is 2-dimensional: it has a length and a width. Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width.

SURFACE AREA DEFINITION: The surface area is the sum of the areas of all six sides. To find the area of adjacent sides (Width x Height) x 2 sides. Find the area of ends (Length x Width) x 2 ends. Add the three areas together to find the surface area.

Answer:

[tex]f(x)=89x+1800[/tex]

Step-by-step explanation:

$1800 is spent on a washing machine. This number never changes, so we just need to add that to our annual total

$89 is spent every year. This means that this number needs to be with our variable, x, as it is dependent on the number of years that occur. When we put these two things together, we get the following equation:

[tex]f(x)=89x+1800[/tex]

Answer: w = 5

Step-by-step explanation:

Since ST ≅ SV, then ∠SUT ≅ ∠SUV

w + 10 = 3w

      10 = 2w

        5 = w

Answer:

-2.17 and -7.83

Step-by-step explanation:

[tex]4(x+5)^2=32[/tex]

Divide both sides by 4:

[tex](x+5)^2=8[/tex]

Take the square root of both sides:

[tex]x+5=\pm 2\sqrt{2}[/tex]

Subtract 5 from both sides:

[tex]x=-5\pm 2\sqrt{2}\approx -2.17, -7.83[/tex]

Hope this helps!

Answer:

-92(I think I am wrong, now that I think of it.)

Step-by-step explanation:

4(x+5)^2= 32= 4x+20^2= 32= 4x+400= 32= 4x= -368= -92

20^2= 400

32-400= -368

-368/4= -92

So the right answer is 8 1/8 ft^2.

look at the attached picture

Hope it will help you..

Good luck on your assignment..

Answer:

8 1/8 ft^2

Step-by-step explanation:

The area of a rectangle is found by

A = l*w

A = 3 1/4 * 2 1/2

Change to improper fractions

3 1/4 = (4*3+1)/4 = 13/4

2 1/2 = (2*2+1)/2 = 5/2

A = 13/4 * 5/2 = 65/8

Changing back to a mixed number

8 goes into 65 8 times (8*8=64) with 1 left over

65/8 = 8 1/8 ft^2

Answer:

280

Step-by-step explanation:

each of those squares are 100 and each bar is 10

add up the squares and you have 200

add up the bars and you have 80

add 200 and 80 and you have your answer. 280

Answer:

D

Step-by-step explanation:

Well, the bars, if you count them are ten for each column.

There are 8 bars on the right, so that is 280 - 80 = 200

There are two squares that are ten by ten, so that is 200 - 100 * 2 = 0