Solve the equation below for y:

6x – 3y = 36


A. y = 2x − 12

B. y = 12 - 2x

C. y = 1/2x + 6

D. y = 6 - 1/2x

tyy<3

If the derivative of a function is positive, then the function is increasing. If the derivative of a function is negative, then the function is decreasing.

1. Take a function, f(x).

2. Take the derivative of the function, f'(x).

3. If f'(x) is greater than 0, then the function is increasing.

4. If f'(x) is less than 0, then the function is decreasing.

To determine if a function is increasing or decreasing, the derivative of the function must be found. The derivative of a function is written as f'(x). If the derivative is greater than 0, then the function is increasing. If the derivative is less than 0, then the function is decreasing. This is because an increasing function has a positive slope, and a decreasing function has a negative slope. The derivative is the slope of the function, so if the derivative is positive, the function is increasing, and vice versa.

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Answer:

8

Step-by-step explanation:

Jimarcus plans to build a fence of 5 1/3 yards longs

He want to divide it into 2/3 yard sections

Therefore the number that will be produced can be calculated as follows

= 5 1/3 ÷ 2/3

= 16/3 ÷ 2/3

= 16/3 × 3/2

= 16/2

= 8

The scatter plot of the data is illustrated below and when x is 15, the predicted value of y is approximately 8.68.

To find the equation of the trend line, we need to determine the slope and y-intercept. The slope (m) represents the rate at which the dependent variable changes with respect to the independent variable, while the y-intercept (b) indicates the starting point of the line.

Using the formula for calculating the slope (m) of a line, which is given by:

m = (change in y) / (change in x),

we can compute the slope using two points on the trend line: (6,15.5) and (12,10.0). Substituting the values into the formula, we have:

m = (10.0 - 15.5) / (12 - 6) = -5.5 / 6 ≈ -0.92.

Next, we can find the y-intercept (b) by using the equation of a straight line:

y = mx + b,

and substituting one of the points (6,15.5) into the equation. Solving for b, we get:

15.5 = -0.92 * 6 + b,

15.5 = -5.52 + b,

b ≈ 21.02.

Therefore, the equation of the trend line is:

y = -0.92x + 21.02.

To predict the value of y when x is 15, we can substitute x = 15 into the equation:

y = -0.92 * 15 + 21.02,

y ≈ 8.68.

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The situation represent the relation as I = 170+8.50t, where I= income is the dependent variable and t is working hour, is the independent variable.

What is dependent variable and independent variable?

The dependent variable is the variable in a function or experiment whose value depends on the independent variable. The independent variable is the known variable that is manipulated in order to determine its effect (if any) on the dependent variable.

The situation describes the function of income from working hours.

I = 170+8.50t.

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Answer:

29 3/4

OR

29.75

Step-by-step explanation:

1/2 is equal to 2/4 so we can convert it like this-

13 1/4+16 2/4

(13+16=29)

(1/4+2/4=3/4)

29 3/4

OR

29.75

Answer:

It is not well defined.

Step-by-step explanation:

Because set is a collection of well defined objet. And matter contains of solid, liquid and gas

Answer:

8

Step-by-step explanation:

Let the number be n

6*n = 16 + 4*n

6n = 16 + 4n

6n - 4n = 16

2n = 16

2n/2 = 16/2

n = 8

Answer: B. XIX

Step-by-step explanation: If Sarah is 3 years older than Ben, she is 3 years older than 16. That means she is 19 years old. In Roman numerals, we need to think of it as she is 10+9 years old.

X represents 10.

IX represents 9 Because...

... in order to represent a number less than ten, we need to think about how much less than ten it is. Since 9 is one less than 10, you write it as IX since a smaller numeral in front of X represents subtraction.

So you combine the 10 and 9 to get XIX.

The range of the means is 0.5

Mean of S1

= 5 + 6+ 6+ 2

= 19/4

= 4.75

Mean of S2

= 4 + 8 + 4 + 3

= 19/4

= 4.75

Mean of s3

= 4 + 2 + 6+ 5

= 17/4

= 4.25

Range of sample means = 4.75 - 4.25

= 0.5

c. the true statements here is that

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So, the y-value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13 is not possible to find, because the system is inconsistent and has no solution.

To find the y-value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13, we can use one of the methods for solving systems of equations, such as substitution, elimination, or graphing. In this case, we will use elimination method.

The first step of elimination method is to eliminate one of the variables by adding or subtracting the equations. In this case, we will multiply the first equation by 4 and the second equation by -3 and add them:

4(3x + 5y) = 4(17)

12x + 20y = 68

-3(4x + 4y) = -3(-13)

-12x - 12y = 39

then we can add these two equations:

12x + 20y = 68

-12x - 12y = 39

0 = 29

This is an impossible equation, which means that the system has no solution.

Therefore, the y value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13 is not possible to find, because the system is inconsistent and has no solution.

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The missing angle is 90°. So, to obtain the values of the sides given the lengths we will have:

8. PT = 1

   PV = 2

9. VT = 0.76

   PV = 0.66

10. PT = 3

     PV = 6

11. PV =0.58

    PT =1.154

12. PT = 1.73

    VT = 3

13. VT = 3

     PV = 3.5

The given triangle is a scalene triangle because of the three different angles it has which sum up to 180 degrees. The sides will also be different.

For the first triangle whose known side is √3, the missing values can be obtained this way:

sin 60°/ √3 = sin 90/PV

PV = √3 Sin 90/ sin 60

PV = 1.732/0.866

= 2

PT = sin 60/ √3 = sin 30/ PT

PT = √3 sin 30/sin 60

PT = 1

Using this same pattern, the values for the other figures can be obtained.

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Step-by-step explanation:

The attached figure shows a circle. In this circle, some of the part is shaded with a color.

In the figure, we have drawn lines from red color. It shows that there is 1 part shaded out of 4 parts.

Carla said The shaded angle represents 1/4 of the circle while Adam states the shaded angle represents 3/8 of the circle.

The fraction for the shaded part is 1/4. Hence, Carla is correct.

The correct option is: the proportion of companies that pay dividends to their shareholders is greater than 40%.

The financial analyst believes that the proportion of companies paying dividends will be higher than the previous year, which was 40%. Therefore, the null hypothesis would be that the proportion of companies paying dividends is equal to or less than 40%, while the alternative hypothesis would be that the proportion is greater than 40%. The sample result shows that the proportion for this upcoming year is 45%, which supports the alternative hypothesis.

The financial analyst believes that this upcoming year will have a higher proportion of companies paying dividends than the proportion from last year, which was 40%. The analyst then samples company stocks and determines that the proportion of companies that will pay dividends for this upcoming year is 45%.

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Valerie needs to run \(8\frac{1}{8}\) laps.

What are mixed fractions?

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

You can divide any fraction into two pieces. These are the denominator and numerator. A improper fraction is one in which the numerator is greater than the denominator. The numerator must then be multiplied by the denominator by the students. They will then receive a specific form of a fraction. That is referred to as a mixed fraction.

Given,

Number of laps valerie ran = \(3\frac{1}{4}\) laps

Number of times her coach wants her to run = \(2\frac{1}{2}\) times

Therefore,

total number of laps she needs to run = \(3\frac{1}{4} \times 2\frac{1}{2}\)

                                                               \(= \frac{13}{4} \times \frac{5}{2}\)

                                                               \(= \frac{65}{8}\) laps

                                                               \(=8\frac{1}{8}\) laps.

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Answer:

life span ................

The traits affected by a change in the environment are:

Skin and life span.

Options A and C are the correct answer.

Environmental change is the change in the physical nature such as the climate, weather, biosphere, food chain, atmospheric contents, etc.

We have,

The traits getting influenced by the change in environment are:

1) Skin

We see that our skin color becomes dark when we get more sunlight.

2)

Life span

If there is a change in the environment that disrupts the food chain and the basic survival elements.

Thus,

Skin and lifespan are the traits affected by changes in the environment.

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Answer:

x = -6

Step-by-step explanation:

-8 = 2x + 4

subtract 4 giving you -12 = 2x

divide 2 giving you -6 and leaving x by itself

therefore the answer is x = -6

Addition 3+ 12, an incomplete mathematical sentence. 1.3+ 12=13.3

Addition is a mathematical procedure that is used to add numbers. The sum of the given numbers is the result of adding the given numbers. For instance, if we add 2 and 3, (2 + 3), the result is 5. We used the addition function on two numbers, 2 and 3, to produce the sum, 5

Symbol for Addition

Different symbols are used in mathematics. One of the most used arithmetic symbols is the addition symbol. We read about adding two numbers, 2 and 3, in the definition of addition above. If we look at the addition pattern (2 + 3 = 5), the symbol (+) joins and completes the two integers.

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Answer:

-3x^2 + 7x + 2 + x^3 – x^2 – 9

(-3x^2 + 7x-7+x^3-1x^2) the answer is in parentheses

Answer:

The length of each side is three foot.

Step-by-step explanation:

Answer:

1 ft.

Step-by-step explanation:

see attached

Step-by-step explanation:

A and B I believe that's the correct answer

Answer:

a and b

Step-by-step explanation:

The perimeter of the preimage is 54 units

The perimeter of a triangle is the sum of all its sides

For the given diagram, the perimeter of the  triangle is expressed as:

If the perimeter is dilated by a factor of 1/2, the perimeter of the preimage is expressed as 108/2 = 54 units

Hence the perimeter of the preimage is 54 units

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Answer:

x=2, y=5

Step-by-step explanation:

Replace all occurrences of x with 2y−8 in each equation.

9y−32=13

x=2y−8

Solve for y in the first equation.

y=5

x=2y−8

Replace all occurrences of y with 5 in each equation.

=> x=2, y=5

Answer:

1/20 kilogram of flour is in each bag.

Step-by-step explanation:

(1/2)/10=(1/2)(1/10)=1/20

Answer:

maybe 15?? sorry if I'm wrong

]The amount to pay is £921.375

The loan's interest rate can be quickly and easily calculated using simple interest. The daily interest rate is multiplied by the principal by the number of days between payments to get simple interest.

Given cash price of a television = £ 875

and deposit money is 10%

so 10% of 875 = 87.5

the principle of television = 875 - 87.5 = 787.5

and rate = 8.5%, time = 2 years

simple interest is give by (P x R x T)/100

SI  = (787.5 x 8.5 x 2)/100 = 133.875

total amount o be paid = principle + SI

A =  787.5 + 133.875

A = 921.375

Hence the total amount is £921.375

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Answer:

the ratio is  1 ⅓ to 1;  and the unit rate is:  1 ⅓

hope it helps :)