Exercise 1. A truck has the capacity to transport up to 8 tons of a material at a time. If 104 tons of the material should be transported, how many trucks like this will be needed?

Answer:

f^-1(x) = -4 / x - 2

Step-by-step explanation:

First swap the x and y values. This is done by setting f(x) to x, and x to y.

f(x) = (2x - 4) / x → x = (2y - 4) / y

*Then solve for y like you would for a normal equation*

x = (2y - 4) / y

×y ×y

(multiplication property of equality)

*This will isolate the extra y term*

__________________________

xy = 2y - 4

-2y -2y

(subtraction property of equality)

*This is done to group the like terms together, because they both share a y term now*

_____________________________

xy - 2y = -4

| |

v v

( x - 2 )

(GCF)

*In this case the GCF is y because it is the factor held in common, reverse distributive property*

________________________________

y(x-2) = -4

÷(x-2) ÷(x-2)

(Division property of equality)

*This is the last and final step to isolate the y term completely, so we can find the inverse*

y = -4/x-2

*This is the inverse*

Now just set it in function form as an inverse:

y = -4/x-2 → f^-1(x) = -4/x-2

Answer:

Answer choice D. k is equal to 3.5

Step-by-step explanation:

In this equation, we must get the k all by its self. To do that, let's eliminate the 30. To do this, we must subtract 30 from both sides.

30 - 7k = 5.5

-30          -30

Then we get...

-7k = -24.5

Now we must get rid of the -7 that is multiplied by k. to do this, let's divide both sides by -7.

-7k = -24.5

-7        -7

And we get...

k = 3.5

And therefore, k is equal to 3.5. I hope this helps, and I hope it's not wrong, but I do not think it is.

Answer:

This was $14 less than twice what she spent for a blouse . How much ... From the first two equations, we have A=12B=12(3C)=32C ... How many days will it require for the son to plow the field alone?

Step-by-step explanation:

Answer:

[tex]Amber = 0[/tex]

[tex]Grace = 0.60[/tex]

[tex]Marsha =1.70[/tex]

Step-by-step explanation:

Given

Decimal Grid = Hundredths

[tex]Amber = None[/tex]

[tex]Grace = \frac{3}{5}th[/tex]

[tex]Marsha = 1 + \frac{7}{10}th[/tex]

To solve for each:

We have:

For Amber:

[tex]Amber = 0 * 100[/tex]

[tex]Amber = 0[/tex]

For Grace:

[tex]Grace = \frac{3}{5}th[/tex]

[tex]Grace = \frac{3}{5} * 100[/tex]

[tex]Grace = \frac{300}{5}[/tex]

[tex]Grace = 60[/tex]

This means that Grace shaded 60 of the hundredth models.

Decimal shaded is:

[tex]Grace = 60 * \frac{1}{100}[/tex]

[tex]Grace =\frac{60}{100}[/tex]

[tex]Grace = 0.60[/tex]

For Marsha:

[tex]Marsha = 1 + \frac{7}{10}th[/tex]

[tex]Marsha = \frac{10 + 7}{10}th[/tex]

[tex]Marsha = \frac{17}{10}th[/tex]

[tex]Marsha = 1.7th[/tex]

Multiply this by 100, to get the number of shaded

[tex]Marsha = 1.7 * 100[/tex]

[tex]Marsha = 170[/tex]

This means that Marsha shaded 170 of the hundredth models.

Decimal shaded is:

[tex]Marsha = \frac{170}{100}[/tex]

[tex]Marsha =1.70[/tex]

Answer:

we need to know what the question is.

Step-by-step explanation:

Answer:

It varies directly

k = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Table:

    x      y

   7       11

   8       13

   9       15

   10      17

Problem:, determine if y varies directly as x

Solution:

  The equation to determine if they vary directly is;

         y ∝  x

         y  = kx

From the table, y varies directly as x. As y increases, x also increases.

To find k, use any convenient value of y and x  ;

     y  = 15 and x  = 9;

        15 = k x 9

        k = [tex]\frac{15}{9}[/tex]  = [tex]\frac{5}{3}[/tex]

Answer:

Let's take this step by step:

2x+b=w

2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)

2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)

2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)

x=w-b/2

Step-by-step explanation:

Answer:

= 4

Step-by-step explanation:

2a^2-4b

=2(2)^2-4(1)

=2×4-4

= 8-4

=4

Answer:

500,400,300

Step-by-step explanation:

is this correct?

Answer:

Your answer is 5004300

Step-by-step explanation:

Hope this helps u

Crown me as brainliest:)

Answer:

t=15

Step-by-step explanation:

Answer:

D: Website titles

Step-by-step explanation:

Answer:

5 because its a 3 so you cant round up so you round down.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if you have to round anything under five you would round down to zero there for the the number after it would not change hope this helped

Answer:

1/125

Step-by-step explanation:

=1/5*5*5

=1/5^3

=1/125

Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:

5^-3 = 1/(5^3)

Answer:

200,375

Step-by-step explanation:

just multiply 40,075 by 5

Answer:

3(2r+2) = 6r + 6

Step-by-step explanation:

Three times to is six just add the ''r'' to the six and you have six ''r'' then youdo three times two which is six

Answer:

1.99 per pound means the cost of 1 pound is 1.99!!

Step-by-step explanation:

Unit rate means the rate of 1 item

Answer:

x=7

Step-by-step explanation:

8x−7=4x+21

Step 1: Subtract 4x from both sides.

8x−7−4x=4x+21−4x

4x−7=21

Step 2: Add 7 to both sides.

4x−7+7=21+7

4x=28

Step 3: Divide both sides by 4.

4x

4

=

28

4

to solve this you would use pythagorean theorm which is a^2+b^2=c^2.

The hyotenuse is obviouly 11 and one of the side lengths is 4 so you would put 4^2+b^2=11^2 which is 16+b^2=121. You subtract 16 to get b^2 = 105 and then square root both sides, So the answer would be √105.

Answer:

Option (A)

Step-by-step explanation:

Windmill is in the shape of a circle and each blade of the windmill is equally spaced.

There are 8 spaces in the windmill shown.

Therefore, angle between each blade = [tex]\frac{360}{n}[/tex]

Where n = number of blades

Angles between each blade = [tex]\frac{360}{8}[/tex]

                                               = 45°

To reach the position of blade U by blade P will cover 5 angles between the blades.

Therefore, angle of rotation covered by P to reach U = 5×45° = 225°

Option (A) will be the correct option.

The number of people who are sampled in the census is the whole population which is, 540,000.

Given that,

Size of the population = 540,000

We have to take a census regarding something which is not mentioned for this population.

In census, contrary to survey and other modes of taking information, the entire population will be sampled for the collection of the information rather than taking a sample of smaller size.

So there can't be a sample which contains less number of individuals or units for taking the information.

So the whole population of 540,000 people are included in the sample.

Hence the correct option is C, which is 540,000.

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Answer:

B.

3    6

4    5

5    4

6    3

Step-by-step explanation:

As the x increases the y decreases

And there has to be a constant rate of change

The equation would be y = -x + 9

Answer:

Step-by-step explanation:

1 hour you will make $10

2 hours you will make $20

10 hours you will make $100

The constant of proportionality is 10

and its x=10y

I don't understand what they mean when its says "x hours"

Answer:

s= -1.5t + 18

Step-by-step explanation:

The Equation to represent the depth of snow is s= -1.5t + 18.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We learn from the question that the snow's depth is s and that it takes hours to melt the snow.

The amount of snow is 12 inches deep after 4 hours of melting.

Now, keep in mind that the melting rate is 1.5 inches per hour.

and, 1.5 x 4 = 6 inches of snow will have melted in the four hours.

Thus, the initial snow depth will be 6 + 12 = 18 inches.

Hence, the Equation to represent the depth of snow is s= -1.5t + 18.

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Answer:

4.995

Step-by-step explanation:

Answer:

"past" is one

Step-by-step explanation:

Answer:

past is one okkkk kkkkjjjjj

Answer:

22.50

Step-by-step explanation:

Work Shown:

[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]

The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

Answer:

the answer should be 7a^3-4a^2-2a-87

Answer:

Step-by-step explanation:

M is less than or equal to 1