What is 3/2 on a number line

Answer:

[tex]-46[/tex] meters per year.

Step-by-step explanation:

We have been given that a glacier advanced down a mountain from an elevation of 2010 m to 1780 m in 5 years.

[tex]\text{Rate of change}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\text{Rate of change}=\frac{1780-2010}{5-0}[/tex]

[tex]\text{Rate of change}=\frac{-230}{5}[/tex]

[tex]\text{Rate of change}=-46[/tex]

Since the glacier is melting down, therefore, the glacier's rate of change would be [tex]-46[/tex] meters per year.

Given the information, we can determine that the cost of the toothbrush is $1.15. To arrive at this, we created an equation based on the given information and solved for the unknown, which in this case is the cost of the toothbrush.

If Brooke buys a toothbrush and toothpaste for $2.95, and the toothbrush costs $.65 less than the toothpaste, we have to use the information to solve for the cost of the toothbrush.

Let's define the cost of the toothpaste as x. Therefore, the cost of the toothbrush would be x - $0.65 (since the toothbrush costs $0.65 less than the toothpaste).

The combined cost of the toothbrush and toothpaste is $2.95, so we can set up the equation: x + (x - $0.65) = $2.95

If we simplify and solve this equation, we get x = $1.80. That's the cost of the toothpaste. The cost of the toothbrush would therefore be $1.80 - $0.65 = $1.15.

So, the toothbrush costs $1.15.

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Answer:  The required expression is [tex]3x^3+2x^2+3x+2.[/tex]

Step-by-step explanation:  We are given the following two functions :

[tex]f(x)=3x+2\\\\g(x)=x^2+1.[/tex]

We are to find the expression equivalent to [tex](f*g)(x).[/tex]

We know that

for any two functions p(x) and q(x), we have

[tex](p*q)(x)=p(x)\times q(x).[/tex]

Therefore, we get

[tex](f*g)(x)\\\\=f(x)\times g(x)\\\\=(3x+2)(x^2+1)\\\\=x^2(3x+2)+1(3x+2)\\\\=3x^3+2x^2+3x+2.[/tex]

Thus, the required expression is [tex]3x^3+2x^2+3x+2.[/tex]

When rolling a standard die and another die with faces having either 0 or 6 spots, the possible total values y range from 1 to 12, excluding the numbers 5 and 6 twice due to the unique nature of the second die.

The question asks about the possible values for the total number of spots y on the up-faces when you roll two nonstandard dice: a standard six-sided die with faces having 1, 2, 3, 4, 5, and 6 spots, and another die with three faces having 0 spots and three faces having 6 spots. To find y, we need to consider all the possible outcomes of rolling these two dice and summing the numbers of spots on the up-faces.

Therefore, the possible values for y are 1, 2, 3, 4, 5, 5, 7, 8, 9, 10, 11, and 12.

f(x) = x^2-25

 inverse:

y = x^2-25

x = y^2-25

y = sqrt(5 +25)

 Answer is B

The equation of a horizontal line passing through the point (−3, 8) is y= 8

How to determine the equation of a horizontal line passing through the point (−3, 8)

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

The point (−3, 8)

The equation of a horizontal line is of the form

y = c, where

c is a constant.

Since the line is horizontal, the value of y is constant for all points on the line.

In this case, the line passes through the point  (−3,8), so the equation of the horizontal line is  y = 8.

B) On e2020 at least

Hope I helped!

The values that can be determined from the table are:

A = 23, B = 38, C = 19, D = 57 and E = 81

Equations are expressions that have equal values, and they are represented by the "=" sign

The table entries are given as:

                   Rhinestone Cowboy Dreadlock Holiday MacArthur Park Total

Republican         B                                   33                            C                  90

Democrat            A                                   24                           34                  E

Total                   61                                    D                            53                171

From the table, we have the following equations

[tex]B + 33 + C = 90[/tex]

[tex]A + 24 + 34 = E[/tex]

[tex]61 + D + 53 = 171[/tex]

The above equations become:

[tex]B + 33 + C = 90[/tex]

[tex]B + C = 57[/tex]

[tex]A + 24 + 34 = E[/tex]

[tex]A + 58 = E[/tex]

[tex]61 + D + 53 = 171[/tex]

[tex]D= 57[/tex]

Also from the table, we have the following equations

[tex]B + A = 61[/tex]

[tex]C + 34 = 53[/tex]

[tex]90 + E = 171[/tex]

Solve for C and E in the above equations

[tex]C + 34 = 53[/tex]

[tex]C = 19[/tex]

[tex]90 + E = 171[/tex]

[tex]E = 81[/tex]

Recall that:

[tex]A + 58 = E[/tex]

So, we have:

[tex]A + 58 = 81[/tex]

[tex]A = 23[/tex]

Recall that:

[tex]B + A = 61[/tex]

So, we have:

[tex]B + 23 = 61[/tex]

[tex]B = 38[/tex]

Hence, the values that can be determined from the table are:

A = 23, B = 38, C = 19, D = 57 and E = 81

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multiply both sides by 2 to get

2A = (a+b)*h

divide both sides by h

 to get 2A/h = a+b

 subtract b from both sides to get a = 2A/h -b

3rd choice is correct

Option C - a = [tex]$\frac{2A-bh}{h}[/tex] is the correct alternative.

We have the formula for a trapezoid that relates the area - A, the two bases - a and b and the height - h as follows -

[tex]$A=\frac{(a+b)}{2} h[/tex]

We have to solve for ' a '.

On solving -

x( 1 + 2 + 3 + .... + n) = π

[tex]\frac{xn(n+1)}{2} =\pi[/tex]

[tex]x =\frac{2\pi }{n(n+1)}[/tex]

According to the question, we have -

[tex]$A=\frac{(a+b)}{2} h[/tex]

2A = (a + b)h

2A = ah + bh

2A - bh = ah

a = [tex]$\frac{2A-bh}{h}[/tex]

Hence, Option C is the correct alternative.

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2(6-7x) = -8(x+6)

 multiply the numbers inside the parenthesis with the numbers outside of them:

12 -14x = -8x-48

add 12 to each side:

-14x =-8x -36

add 8x to both sides

-6x = -36

divide both sides by-6

x = 6

Answer:24

Step-by-step explanation:

The 2012 profit must be 0.45 thousand dollars is equal to 4.5 hundred dollars to break even over the five-year period.

It is required to find the profit in 2012.

The break-even point is the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. It  tells an owner the amount of revenue needed to cover all expenses, including fixed costs.

Given:

The break-even point is the point in which a business makes no gain and no loss.

According to given question we have

Let the 2012 profit be x, then

2.5 + 1.75 + (-3.3) + (-1.4) + x = 0

4.25 - 3.3 - 1.4 + x = 0

-0.45 + x = 0

x = 0.45

Therefore, the 2012 profit must be 0.45 thousand dollars is equal to 4.5 hundred dollars to break even over the five-year period.

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Givens

x = - 1/3

y = 3x - 2

Problem solve for y

y = 3(-1/3) - 2

but 3 * (1/3) = 1

and 3 * (- 1/3) = - 1

So y = -1 - 2

y = - 3

Think of this as a money question. If you are one dollar in the whole and you spend 2 more, you are not 3 in the whole which is minus 3.