Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?

A.
{-4, 4, 14}
B.
{2, 4, 9}
C.
{-12, -4, 6}
D.
{12, 4, -6}

Answer:

No. √14 + 6.2 is more than 3π - 8.2

Step-by-step explanation:

√14 + 6.2

√20.2

≈ 4.494

π ≈ 3.14159

3(3.14159) - 8.2

9.42577 - 8.2

1.22477

Therefore, the answer is no.

Answer:

C. An increase of 20%

Step-by-step explanation:

50/100 = 60/x

Cross products

50 x  =  6000

Divide 50 by both sides

x  =  120

60 is 120% of 50, so there is a 20% increase

Hope this helps!

-Jerc

Answer:    15 an ummm  fine

Step-by-step explanation:

Answer:

15 is the correct answer

Answer:

[tex] slope (m) = 6 [/tex]

Step-by-step explanation:

To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.

Let's use, (-1, 0), and (0, 6).

Apply the formula, [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex], where,

[tex] (-1, 0) = (x_1, y_1) [/tex]

[tex] (0, 6) = (x_2, y_2) [/tex]

Thus:

[tex] m = \frac{6 - 0}{0 - (-1)} [/tex]

[tex] m = \frac{6}{1} [/tex]

[tex] slope (m) = 6 [/tex]

Answer:

constant of proportionality = 10

Step-by-step explanation:

Direct proportion equation :

y = kx, where k is the constant of proportionality

Answer:

A=-6

B=7

Step-by-step explanation:

We want to solve for the values of A and B.

let us substitute the values of the coordinates, that is x and y into the expression and obtain the two equations.

then we solve simultaneously

-7A-4B=14---------1

14A+2B=14--------2

-14A+-8B=28---------3

14A+2B=14------------2

0-6B=42

6B=42

B=42/6

B=7

put B=7 in eqn 1 we have

-7A-4(7)=14---------1

-7A-28=14

-7A=14+28

-7A=42

A=42/-7

A=-6

The values of A and B are 3 and -7 respectively

In order to determine the values of A and B,

First, we will determine the equation of the line passing through the coordinates (-7, -4) and (14, 2).

Using the formula for determining the equation of a line with two given points,

[tex]\frac{y-y_{1} }{x -x_{1} } =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

From the question

x₁ = -7

y₁ = -4

x₂ = 14

y₂ = 2

Putting these values into the equation,

We get

[tex]\frac{y--4}{x--7} =\frac{2--4}{14--7}[/tex]

∴ [tex]\frac{y+4}{x+7} =\frac{2+4}{14+7}[/tex]

[tex]\frac{y+4}{x+7} =\frac{6}{21}[/tex]

This becomes,

[tex]6(x+7) = 21(y+4)[/tex]

Clearing the brackets

[tex]6x + 42 = 21y + 84[/tex]

Then,

[tex]6x -21y = 84 -42[/tex]

[tex]6x -21y = 42[/tex]

Dividing through by 3

We get

[tex]3x - 7y = 14[/tex]

∴ The equation of the line that goes through the coordinates (-7, -4) and (14, 2) is [tex]3x - 7y = 14[/tex]

Now, we will compare the above equation to the equation given.

The given equation is Ax + By = 14

By comparing

A = 3 and B = -7

Hence, the values of A and B are 3 and -7 respectively

Learn more here: https://brainly.com/question/21967006

Answer: so, its pretty simple so just figure it it so, its pretty simple so just figure it it

Step-by-step explanation: so, its pretty simple so just figure it it so, its pretty simple so just figure it it!

Answer:

[tex]m=-\frac{4}{3}[/tex]

Step-by-step explanation:

Formula

[tex]m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Solve

[tex]m=\frac{10+6}{-14+5}=\frac{16}{-9}=-\frac{4}{3}[/tex]

Answer:

Step-by-step explanation:

A=(-5, -6) = (x1 , y1)

B= (-14, 10)= (x2 , y2)

slope= y2 - y1/ x2- x1

=10+6/ -14+5

= 16/ -9

= 4 / -3

Answer:

hope it helps...

Step-by-step explanation:

The ratio of a number x and four added to two:

= 4x + 2 = 0

= 4x = -2

= 4x/4 = -2/4

= x = -2/4

= x = -1/2

Answer:

do you have the diagram

Step-by-step explanation:

Answer:

yes ido

Step-by-step explanation:

The remainder from the given division is 0.

Given that, 24 divided by 4 is 6.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

4|24|6

  24

______

    0

So, the remainder is 0.

Therefore, the remainder from the given division is 0.

To learn more about the division visit:

https://brainly.com/question/1575906.

#SPJ6

Answer: Hansel is 32

Step-by-step explanation: 11x3-1=32, 32+11=43

Answer:

110

Step-by-step explanation:

88+22=110

Answer:

the numbers are 11 and 12

Step-by-step explanation:

Answer:

5 weeks

Step-by-step explanation:

We are told that the auditorium holds an average of 1000 people each.

And that she charges $40 each.

Thus;

Total income for each speech is;

1000 × 40 = $40000

Since she gives an average of 10 presentations each week.

Total income per week = 10 × 40000 = $400,000

Now,the expenses she makes for each speech weekly is;

Renting auditorium = $15000

Motel, jet expenses, support personnel = $75000

Thus,

Total expenses per week = 15000 + 75000 = $90000

Now, total profit per week is;

P_weekly = Total income per week - Total expenses per week

P_weekly = $400000 - $90000

P_weekly = $310000

There are 52 weeks in a year, thus, profit in a year is;

P_yearly = 52 × 310000 = $16120000

Now, we want to find out how long it took her to make $1,400,000 a year.

We know that;

$16120000 was achieved in 52 weeks

Thus;$1,400,000 will be achieved in;

(1400000 × 52)/16120000 = 4.52 weeks approximately 5 weeks.

Answer:

range is 525-140=385

The mean of a set of numbers is the sum divided by the number of terms. Mean= 226

Step-by-step explanation:

hope that helper, have a good one

Range = 525 - 140 = 385

Mean =

[tex](140 + 140 + 163 + 174 + 195 + 254 + 525) \div 7 = 226[/tex]

Answer:

y + 3x = - 20

Step-by-step explanation:

x - 3y + 25 = 0

- 3y = - 25 - x

3y = 25 + x

y = ( 25 + x )/3

y = ( 1/3 )x + 25/3

Y= mX+ c

m= gradient= 1/3

The perpendicular gradient should be the negative reciprocal of the gradient we have now.

which is : -1÷(1/3) = -3

Now for the perpendicular line equation, we have:

y = 1

x= 7

m= -3

y - y1 = m ( x - x1 )

y - 1 = -3 ( x + 7 )

y-1 = -3x -21

y + 3x = -20

Answer:

the correct answer is: C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.

Step-by-step explanation:

A straight line passing through the points (1, 2), (3, 4), (5, 6) and (7, 8) does not pass through the origin, as shown on the graph below.

Therefore, the line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.

Answer:

The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin--the correct answer is B.

Step-by-step explanation:

You first graph the coordinates shown, then you repeat the same pattern until the answer is revealed which is shown in the column above. Also, a reminder to all a proportional line is a line that goes through the origin ((0,0)).

Answer:

Your answer is: 15

Your equation would have f(5) = x^2 + 2x

Substitute the given value into the function and evaluate.

Step-by-step explanation:

Hope this helped ; )

The answer is 11.9 units

First you must set up the distance formula.

[tex]\sqrt[]{ (-10-0)^2+(-4-0)^2+(5-0)^2}[/tex]

Then, simplify like terms.

[tex]\sqrt{(-10)^2+(-4)^2+(5)^2}[/tex]

Next, simplify exponents.

[tex]\sqrt{100+16+25}[/tex]

Then, add like terms.

[tex]\sqrt{141}[/tex]

Finally, round to the nearest tenth.

11.9

Answer:

25.84 divide by 4 Is 6.46.

Answer:

y = -[tex]3^{2}[/tex] + 7x - 2

Step-by-step explanation:

-9-2= -11

y = -11 +7x

+11

y+11 = 7x

/7

1.57142857143= x

Answer:

3 rolls of tape

Step-by-step explanation:

600 diveded by 200 is 3

Answer:

Explained below.

Step-by-step explanation:

The information provided is,

P (R₁) = 0.35

P (R₂) = 0.45

P (R₁ ∩ R₂) = 0.20

(a)

Compute the probability that at least one light will be red as follows:

P (at least one light will be red) = P (R₁ ∪ R₂)

                                                    = P (R₁) + P (R₂) - P (R₁ ∩ R₂)

                                                    = 0.35 + 0.45 - 0.20

                                                    = 0.60

Thus, the probability that at least one light will be red is 0.60.

(b)

Compute the conditional probability that the second light will be red given that the first light is red as follows:

[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]

                [tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]

Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.

(c)

If two events, say A and B are independent then:

P (A|B) = P (A).

The value of P (R₂ | R₁) = 0.57.

And the value of P (R₂) = 0.45

P (R₂ | R₁) ≠ P (R₂)

Thus, the events R₁ and R₂ are not independent.

(d)

If two events, say A and B are mutually exclusive then:

P (A ∩ B) = 0

The value of P (R₁ ∩ R₂) = 0.20.

Thus, the events R₁ and R₂ are not mutually exclusive.

Answer:

the 1st 2nd and 5th since if there is even one negative in the fraction it makes the whole fraction negative

Answer:

X intercept: x = 4 or in point form (4,0)

Zero for the function at (4, 0)

Y intercept : y = 160  or in point form (0,160)

slope = -40  mph

Step-by-step explanation:

The y-intercept, x-intercept are directly obtained from the graph by noticing the points on the axes where the line crosses them.

The slope is calculated using the points (0, 160) and (4, 0) and the formula for the slope of the segment that joins them:

slope = (y2 - y1)/(x2 - x1) = (160 - 0) / (0 - 4) = -160/4 = -40

and the units of the slope are miles over hour (that is miles per hour or mph)

Answer:

A

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

the two negatives cancel each other

Answer:

4.8

Step-by-step explanation:

Since both numbers are in negative form and a division is supposed to occur, take away the negative so that the division can properly occur:

3.6 ÷ 0.75

Now simplify:

4.8

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