MATHEMATICS HIGH SCHOOL

Evaluate the function using the values.

Answers

Answer 1

Answer:

Answer:

Blank 1: 3

Blank 2: 31

Step-by-step explanation:

f(x) = 2x + 7

Plug x as -2

2(-2) + 7

-4 + 7

= 3

Plug x as 12

2(12) + 7

24 + 7

= 31

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At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class. Nonmembers pay $6 for each aerobic class. For what number of aerobics classes will the cost for members and nonmember be the same?

Answers

In the aerobics classes of 4 will the cost for members and nonmember be the same.

What is an expression?

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

Given that;

At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class.

And, Nonmembers pay $6 for each aerobic class.

Now,

We can formulate;

For members, the cost = $8 + 4x

Where, x is the aerobic class.

For nonmembers;

The cost = 6x

We can equate both the equation, we get;

6x = 8 + 4x

Solve for x as;

6x - 4x = 8

2x = 8

x = 4

Thus, In the aerobics classes of 4 will the cost for members and nonmember be the same.

Learn more about the mathematical expression visit:

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An aerobic lesson will be defined as 'a'
For every member lesson, they pay $4, so they will be represented as 4a
For every non member lesson, they pay $6, so they are 6a
Don't forget members have to pay $8 at the start, so they have to be 4a + 8
So
4a + 8 = 6a is our final equation
Move the 'a's to one side, by subtracting 4a from each side, giving you
8 = 2a
Divide by 2 to isolate a
4 = a
After 4 aerobics classes, the cost will be the same

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Answers

The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

Answer:

Step-by-step explanation:

The height, width, and length of the box will be (x)(8 - 2x)(10 - 2x). The volume of the box will be 4x3 - 36x2 + 80x = 0 Use a graphing calculator to graph the polynomial. Use the maximum feature to see the greatest volume the box can have. Be sure to set your window accordingly and think about what constraints are on the box. The maximum volume for the box is 52 in3. The cut would be 1.5 inches long. This is where the graph crosses the x-axis.

Enter the range of values for x: 48° 2x-12 16 22 AB=AD

Answers

Answer:

6<x<30

Step-by-step explanation:

x is between x and 30

greater than 6 but less than 30

I hope it helps!

Answer:

its 6 I just took the assignment

Need help again ?!???

Answers

Answer:

11.47

Solution,

Fromthe figure,

$cos \: 55 = (PQ)/(PR)$

$cos \: 55 = (PQ)/(20)$

$PQ = 20 \: cos \: 55$

$PQ= 11.472$

$PQ= 11 .47$

Hopethis helps...

Goodluck on your assignment...

Answer:

11.47

Step-by-step explanation:

Use SohCahToa. In this problem, you are given the hypotenuse and you are trying to solve for the adjacent side so it will be cosine. (cosine = $(adjacent)/(hypotenuse)$ )