Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2.
(f + g)(t – 5)

Answer:

Break-even point in units= 25

Step-by-step explanation:

Giving the following information:

Fixed cost= $100

Unitary variable cost= $20

Selling price per unit= $24

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 100 / (24 - 20)

Break-even point in units= 25

Answer:

C.

(2,4)

Step-by-step explanation:

i did it on edge

happy holidays :)

Answer: It's B (-4, -8)

Step-by-step explanation:

Answer:

4. 3

The answer is the last option, all you do is reduce

Step-by-step explanation:

rise over run = rise/run = 6/2

reduce,

6/2

3/1

3x

Answer:

32x - 16

Step-by-step explanation:

16(2x - 1)​

16 • 2x - 16

32x - 16

Answer:

32x - 16

Step-by-step explanation:

distrubutive property: 16 times 2x plus 16 times -1

Answer:

0.667

Step-by-step explanation:

Given that :

Head is twice more likely to occur than a tail.

P(head) = p(H) = 2/3

P(tail) = p(T) = 1/3

If coin is tossed 3 times :

P(H = 0) :

1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail

(1/3) * (1/3) * (1/3) = 1 / 27

P(H= 1)

HTT, THT, TTH

(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)

= 2/27 + 2 /27 + 2/27

= 6/27 = 2/9

P(H=2)

HHT, HTH, THH

(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)

= 4/27 + 4/27 + 4/27

= 12 / 27

= 4 /9

P(H = 3)

HHH

(2/3 * 2/3 * 2/3)

= 8 / 27

X ___ 0 ___ 1 ____ 2 ____ 3

P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27

E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2

E(X) = 2

Var(X) = Σx²p(x) - E(X)²

= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2

= 4.667 - 4

= 0.667

Hence, Var(x) = 0.667

The person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.

The given equation is 7 × 870 = 5600 + 49.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Now, product of two numbers 7 and 870 is

7 × 870=6090

⇒ 7 × 870 = 5600 + 490

Hence, the person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

#SPJ2

Answer:

1 hour 29 minutes and 29 seconds

Step-by-step explanation:

We need to find the circumference of the two semicircles of the track (which forms a full circle of radius 40m):

pi×40×2 = 80pi

The total length of the track to be travelled would be:

(80pi+130+130) × 42 = (80pi+260) ×42

                       = 21 476m (Rounded to 5 s.f.)

80m/20s

1s = 80÷20

   = 4m

For every 1 second, Kat travels 4m.

Total Time taken:

21 476÷4 = 5369 seconds

               = 1 hour 29 minutes and 29 seconds

Answer:

Step-by-step explanation:

The formula for  calculating the amount after t years is expressed as;

A = P(1+r/n)*nt

P is the Principal (amount invested) = $300

r is the rate = 7% = 0.07

t is the time used to save = 11 years

n is time of compounding = 1/4 (quarterly)

Substitute;

A = 300 (1+0.07/(1/4))^(1/4)(11)

A = 300(1+4(0.07))^2.75

A = 300(1+0.28)^2.75

A = 300(1.28)^2.75

A = 300(1.9716)

A = 591.49

Hence the amount that will be in her account after 11 years is $591.49

Answer:

D

Step-by-step explanation:

The answer is D because the 45 would represent his songs, and 180 would represent the total.

Answer:

0.8

Step-by-step explanation:

Answer:

8/10

Step-by-step explanation:

5/5 is equivalent to 1 whole or one.

So all your suppose to do is 1 minus 2/10 which is 8/10.

Hope that helps

↖(^ω^)↗

Answer:

The required equation is:

[tex]y=4x+30[/tex]

So, Option C is correct option.

Step-by-step explanation:

Entry fee for fair = $30

Cost of one ride = $4

Cost of x rides = $4x

If y represents the total cost the equation will be sum, of entree fee and cost of x rides i.e

[tex]y=4x+30[/tex]

The required equation is:

[tex]y=4x+30[/tex]

So, Option C is correct option.

There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital

But we have 32 female performers in the dance recital. Hence there are 3×4=12 men in the dance recital.

Answer:

64

Step-by-step explanation:

1024÷16=64

hope this helps

Answer:

Sorry, you didn't send the picture with it. But, I have the picture that you forgot to send, here is the picture.

Step-by-step explanation:

That is the image down there! Thanks. Sorry, I can't answer though.

Answer: B

Step-by-step explanation: i googled it

Answer:

Step-by-step explanation:

1/4 * 2/3 = 2 / 12 = 1/6

Answer:

217,600

Step-by-step explanation:

Multiply all the sides

Answer:

20 questions

Step-by-step explanation:

10 divided by 20 is 0.9 which would be 90%

Answer:

The mean birth weight for the sampling distribution is

3,500 grams.

Step-by-step explanation:

The sample mean is the average of the sample values collected divided by the number of the samples, while the population mean is the average or mean of all the values in the population.  If the sample is random and the sample size is large enough, then the sample mean would be a good estimator of the population mean.  This implies that with a randomly distributed and unbiased sample size, the sample mean and population mean will be equal, according to the central limit theorem. Therefore, the mean of the sample means will always approximate the population mean.

Answer:

3/10 = x or 0.3 = x

Step-by-step explanation:

2.1 /  x + 1 4/5 = 3 / 10x

1. first cross multiply and solve it normally:

3 (x + 1 4/5) = (2.1) 10x

3x + 5 2/5 = 21x

-3x               -3x

5 2/5 = 18x

3/10 = x or 0.3 = x

these questions are kind annoying to solve because of the fractions, so if you can, use a calculator to solve them! its much easier!

hope this helps!

Answer:

x = 3/10 = 0.3

Step-by-step explanation:

{(2.1)/(x+1 4/5)} = 3/10x

x + 1 4/5 = x + 5/5 + 4/5 = x + 9/5

then:

(2.1)/(x+9/5) = 3/10x

10x*2.1 = 3(x+9/5)

21x = 3x+ 27/5

21x - 3x = 27/5

18x = 27/5

90x/5 = 27/5

90x = 27

x = 27/90

x = 3/10 = 0.3

Answer:

I helped

Step-by-step explanation:

you okay do can I get some points cuh

Answer:

with what?? >_>

Answer:

30 remainder 1 or 30.5

Step-by-step explanation:

please make me brainliest

Answer:

Step-by-step explanation:

1). a(x) = -4x + 7  If x > 1

   a(8) = -4(8) + 7

          = -32 + 7

          = -25

2). a(x) = 2x - x² If -6 < x ≤ 1

    a(1) = 2(1) - 1²

           = 2 - 1

           = 1

3). a(x) = |x - 8| If x ≤ -6

   a(-7) = |- 7 - 8|

           = |-15|

           = 15

4). a(x) =  2x - x² If -6 < x ≤ 1

   a(-3) = 2(-3) - (-3)²

           = -6 - 9

           = -15

5). a(x) =  2x - x² If -6 < x ≤ 1

    [tex]a(-\frac{1}{2})=2(-\frac{1}{2})-(-\frac{1}{2})^{2}[/tex]

               = - 1 - [tex]\frac{1}{4}[/tex]

               = [tex]-\frac{5}{4}[/tex]

6). a(x) = -4x + 7 If x > 1

    [tex]a(\frac{9}{4})=-4(\frac{9}{4})+7[/tex]

            = -9 + 7

            = -2

Answer:

??

Step-by-step explanation:

Answer: (B) Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.

Based on the information given, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00).

Given the following data:

Mathematically, the monthly payment for a credit card can be calculated by using this formula:

[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]

Where:

In this scenario, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00) because they are the least cuts to her current expenses and they would avail her an opportunity to pay off her balance in 24 months (2 years).

Read more on monthly payment here: https://brainly.com/question/2151013

Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

Answer:

?

Step-by-step explanation:

Answer:

Earnest money is typically in the form of a check.

Step-by-step explanation:

Not everyone writes checks. Can be paid in any form.

Answer:

x= 50°

w= 130°

y°= 110°

z°=30°

Step-by-step explanation:

x°= 180° - 60°- 70° ( angle sum of triangle)

= 50°

w°= 180° - 50° ( adjacent angles on a straight line)

= 130°

y°= 180° - 70° ( adjacent angles on a straight line)

= 110°

z°= 180 - 40° - 110° ( angle sum of triangle)

= 30°

Answer:

Step-by-step explanation:

I'm answering this silly thing only because it seems to have an expected answer

B: is about the only answer you cannot give.

C and D are Both open ended at 15 which doesn't allow you to say that the first acceptable answer is 16

The only answer you can pick is A. The amount starts at 15 and you keep going until you hit 70. That doesn't mean you have to stop. It just means that it represents what he desires to make.