Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books, b, that he purchases in a year: C(b) = 2.75b + 10 Which statements are true about the variables in the yearly cost function? Check all that apply. A. The number of books purchased is the independent variable. B. The input is the yearly cost. C. The total yearly cost depends on the number of books purchased. D. The number of books purchased is determined by the yearly cost. E. The output is the yearly cost.

Answer:

Nico's method is correct

Step-by-step explanation:

Lauren carelessly forgot to add the negative sign

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

Answer:

Option D.

Step-by-step explanation:

From the given graph it is clear that it is a parabola along to the x-axis.

Vertex form of a parabola along the x-axis is

[tex]x=a(y-k)^2+h[/tex]

where, (h,k) is vertex.

From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.

[tex]x=a(y-(-3))^2+(4)[/tex]

[tex]x=a(y+3)^2+4[/tex]   ...(1)

The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.

[tex]1=a(-2+3)^2+4[/tex]

[tex]1-4=a(1)^2[/tex]

[tex]-3=a(1)^2[/tex]

Substitute a=-3 in equation (1).

[tex]x=-3(y+3)^2+4[/tex]

Therefore, the correct option is D.

Answer:

wtz i think is the answer. they are supplementary

Step-by-step explanation:

Answer:

WTZ

Step-by-step explanation:

Supplementary angles add to 180 degrees or form a straight line

WTV and WTZ make a straight line so  they are supplementary angles

Answer:

x = 28

Step-by-step explanation:

We can use ratios to solve

x           x+10

------ = -----------

42         42+15

Using cross products

42(x+10) = x(42+15)

42x+420 = 57x

Subtract 42x from each side

420 = 15x

Divide by 15

420/15 = x

28 =x

Answer:

Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.

Step-by-step explanation:

In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x  for the sale of x video games

As we know profit = sale price - cost price

Therefore P(x) = R(x) - C(x)

Or P(x) = (R-C)x = 60x - (12+7x)

P(x) = 60x -12 - 7x

P(x) = 53x -12

Now the profit on selling 20 video games will be

P(20) = 53×20 -12 = 1060 -12 = 1048.

Answer:

[tex] \boxed{\sf Perimeter \ of \ rectangle = 2(5x - 2) + 2(3x + 1); 62 \ centimeters} [/tex]

Given:

Length of rectangle (l) = (5x - 2) cm

Width of rectangle (w) = (3x + 1) cm

To Find:

Perimeter of rectangle

Step-by-step explanation:

[tex]\sf \boxed{\sf Perimeter \ of \ rectangle = 2(length + width)} \\ \\ \sf Putting \ value \ of \ length \ and \ with \ in \ the \\ \sf formula \ of \ perimeter \ of \ rectangle, \ we \ get:\\ \sf = 2((5x - 2) + (3x + 1)) \\ \\ \sf = 2(5x - 2) + 2(3x + 1)[/tex]

[tex]\sf Now, \ let's \ find \ the \ value \ of \ perimeter \ of \\ \sf rectangle \ by \ substituting \ x = 4, \ we \ get: \\ \\ \sf Perimeter \ of \ rectangle = 2(5(4) - 2) + 2(3(4) + 1) \\ \\ \sf 5 \times 4 = 20 : \\ \sf = 2( \boxed{20} - 2) + 2(3(4) + 1) \\ \\ \sf 3 \times 4 = 12 : \\ \sf = 2(20 - 2) + 2( \boxed{12} + 1) \\ \\ \sf 20 - 2 = 18 : \\ \sf = 2 \times \boxed{18} + 2(12 + 1) \\ \\ \sf 12 + 1 = 13 : \\ \sf = 2 \times 18 + 2 \times \boxed{13} \\ \\ \sf 2 \times 18 = 36 : \\ \sf = \boxed{36} + 2 \times 13 \\ \\ \sf 2 \times 13 = 26 : \\ \sf = 36 + \boxed{26} \\ \\ \sf = 62 \: centimeters[/tex]

Answer:

C

Step-by-step explanation:

edge2020

Answer:

Step-by-step explanation:

[tex]30\% \times 500 \\ 0.3 \times 500 \\ = 150[/tex]

Answer: the answer is 150

Step-by-step explanation:

30% x 500

0.3 x 500

= 150

The discovery of non-Euclidean geometry will be All right angles are equal to one another. Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The discovery of non-Euclidean geometry will be

Then the correct option is C.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ1

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

Condition 1:

7x+3y = 54 -----------(1)

Condition 2:

x = 2+y -----------------(2)

Putting (2) in (1)

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

Dividing both sides by 10

=> y = 4

Now putting y = 4 in eq(2)

=> x = 2+4

=> x = 6

Answer:

[tex]4\\6[/tex]

Step-by-step explanation:

[tex]7x+3y=54\\x=y+2[/tex]

[tex]7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4[/tex]

[tex]x=y+2\\x=4+2\\x=6[/tex]

Answer:

0.50

Step-by-step explanation:

Do the opposite of addition

So 1.25 - 0.75

The solution to the equation 1.25 = 0.75 + r for r is r = 0.5

From the question, we have the following parameters that can be used in our computation:

1.25 = 0.75 + r

Add -0.75 to both sides of the equation

so, we have the following representation

-0.75 + 1.25 = 0.75 + r + -0.75

Evaluate the like terms on the right hand side

This gives

-0.75 + 1.25 = r

Evaluate the like terms on the left hand side

This gives

0.5 = r

Rewrite as

r = 0.5

Hence. the solution is 0.5

Read more about equations at

https://brainly.com/question/32492977

#SPJ6

Answer:

He needs to borrow $28,500 to attend the University for 4 years.

Step-by-step explanation:

One year at the University costs $24,000. The total she has to pay are 4 * $24,000 = $96,000

minus the $4,000 she has in savings: $96,000 - $4,000 = $92,000

minus the $1,500 she received one time: $92,000 - $1,500 = $90,500

minus $3,500 per anual

           4* $3,500 = $14,000            

           $90,500 - $14,000 = $76,500

minus $ 12,000 per anual

            4 * $12,000 = $48,000

            $76,500 - $48,00 = $28,500

Answer:

I would say AA

Step-by-step explanation:

try to separate the picture to see the bigger picture and you can do it.

Answer:

a is answer correct i think

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

There are 12 balloons in each package.  Multiply this by the number of packages to get the number of balloons.

Answer:

E. 12p

Step-by-step explanation:

Multiply 12 by the number of packages to get the total number of ballons.

Ex.

If P is 7 :

12 x 7 = 84

84 ballons in total.

Answer:

Step-by-step explanation:

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor

(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis

(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis

To find where it will touch the axis set the factor equal to zero and solve .

(x + 2) = 0

Subtract 2 from both sides

x=-2

Answer:

g(x) = x^3

Step-by-step explanation:

f(x)=(x+3)^3

The parent function is

g(x) = x^3

The function was shifted to the left 3 units from the parent function

f(x) = ( x- -3) ^3

f(x) = ( x+3) ^3

Answer:

27

Step-by-step explanation:

Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:

x - 4 + 3x - 4 + 4 = 32

4x - 4 = 32

4x = 36

x = 9

Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.

Answer:

27

Step-by-step explanation:

Answer: $18.51

Step-by-step explanation:

She paid $50

Her total purchases

$9.99 + $21.50 = 31.49

Change = (50 - 31.49) = 18.51

Answer:

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

Step-by-step explanation:

As given in the graph,

Given function is a quadratic function, f(x) = (x + 2)(x + 6)

With x-intercepts of the function, x = -6 and -2

Graph below the x-axis represents the negative values of the function.

Graph above the x-axis represents the positive values of the function.

Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.

Answer:

third option

Step-by-step explanation:

Given

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Answer:

x = -2 or x = 3

Step-by-step explanation:

The answer to your question is C.

Answer:

3x² - 9x - 30

Step-by-step explanation:

We use FOIL to multiply (First, Outside, Inside, Last)

Step 1: F

3x²

Step 2: O

6x

Step 3: I

-15x

Step 4: L

-30

Step 5: Rewrite

3x² + 6x - 15x - 30

Step 6: Combine like terms

3x² - 9x - 30

Answer:

[tex]3x^2-9x-30[/tex]

Step-by-step explanation:

Use the FOIL method to solve:

First: [tex]x*3x=3x^2[/tex]

Outer: [tex]x*6=6x[/tex]

Inner: [tex]-5*3x=-15x[/tex]

Last: [tex]-5*6=-30[/tex]

Combining them all, we get:

[tex]3x^2+6x-15x-30=\\3x^2-9x-30[/tex]

Answer:

(a)Dependent

(b)Both

(c)Independent

Step-by-step explanation:

a) When selections are made without replacement, the second(next) outcome is dependent of the first(previous) outcome. Therefore, we subtract one from the draw on the total.

(b)The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.

(c)When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.

Answer:

A. [tex] x = \frac{5}{p} [/tex]

Step-by-step explanation:

[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]

Answer:

1. 18x^11

2. 3n^7

3. x^9

4.-2s^9

5. 6v^14

6.-3p^6

7. 8b^10

can i get brainliest for this pls :)

Answer:

Step-by-step explanation:

Standard form of the equation is given by:

Ax + By = C

Where

Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.

It is an EXAMPLE of standard form of linear function

NON-EXAMPLE

It is an EXAMPLE of standard form of linear function

It is an EXAMPLE of standard form of linear function

NON-EXAMPLE

NON-EXAMPLE

Answer:

answer in the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2x-3y+9=0\\Rearrange -in-form-of : y = mx+b\\-3y=0-9-2x\\-3y=-2x-9\\\frac{-3y=-2x-9}{-3} \\y =\frac{2}{3} \\\\For- parallelism- , m1=m2\\One -point- form (-1,-1)\\x1 = -1\\y1 = -1 \\m = \frac{2}{3}\\ y -y1=m(x-x1)\\y -(-1)=\frac{2}{3} (x-(-1))\\y+1=\frac{2}{3}(x+1)\\y+1=\frac{2}{3}x + \frac{2}{3}\\\\y = \frac{2}{3}x + \frac{2}{3}-1\\\\y = \frac{2}{3}x - \frac{1}{3}\\Multiply- through-: by 3 \\3[y = \frac{2}{3}x - \frac{1}{3}]\\\\3y = 2x -1\\Answer = 2x-3y-1=0[/tex]

Answer:

44

Step-by-step explanation:

Greatest common factor is 4

36 = 4*9

8 = 4*2

36+8 = 4*9 + 4*2

= 4(9+2)

= 4(11)

= 44

Hope it helps ...