What is the slope of the line represented by the points in the table shown below?



x

-4

-1

5

9

y

17

8

-10

-22





m=⅓


m=-3


m=3


m=-⅓

The amount of commission expense that will appear on the flexible budget if 2900 units were sold is; $11600

The activity variance is favourable.

According to the question;

To solve this;

We must be aware that the commission expense is directly proportional to the number of units sold.

In essence;

By cross product;

Ultimately, the activity variance is favourable bas less commission expense is recorded for less sale.

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Step-by-step explanation:

♤ 3(b-5) = 27

=> 3b - 15 = 27

=> 3b = 27 + 15 = 42

=> b = 42/3

=> b = 14 (Ans)

♤ 2x/3 = 6

=> 2x = 6 × 3 = 18

=> x = 18/2

=> x = 9 (Ans)

♤ 2(n + 5) = 15

=> 2n + 10 = 15

=> 2n = 15 - 10 = 5

=> n = 5/2

=> n = 2.5 (Ans)

♤ a + a + a + a = 24

=> 4a = 24

=> a = 24/4

=> a = 6 (Ans)

♤ 4c + 6 = 18

=> 4c = 18 - 6 = 12

=> c = 12/4

=> c = 3 (Ans)

Answer:

c

Step-by-step explanation:

Answer:

x²-10x+34=0. here u go I'm 12

8.

Since they have twice as many games won as lost there are 3 parts.

The losing part and the two winning parts.

The winning part is [tex]\frac{2}{3}[/tex] the games while the losing part is [tex]\frac{1}{3}[/tex] the games.

Just multiply [tex]\frac{2}{3}[/tex] by the games played to find the games won.

[tex]\frac{2}{3} (96)=\frac{192}{3} =64[/tex]

The ravens won 64 games.

10.

Make a system of equations.

Let s be the number of skips interviews and w be the number of woodys interviews.

s=w-8

s+w=20

Then just use algebra to rearrange and find each persons interviews.

For this one we can rearrange the second equation to get s=20-w.

Since we have two solutions for s we can set them equal.

w-8=20-w

2w-8=20

2w=28

w=14

Now that we have the number of woodys interviews substitute it into the first equation to get skips interviews.

s=w-8

s=14-8

s=6

So skip had 6 interviews and woody had 14 interviews.

12.

Make a system of equations

y-x=7

x+y=33

Then just use algebra to rearrange and find each amount of items.

Start by solving with substitution. (Elimination could work too im just going to use substitution.)

y-x=7

y=7+x

Substitute into the second equation

x+(7+x)=33

2x+7=33

2x=26

x=13

Now plug this x value back into the first equation

y-13=7

y=20

The number of items on one list is 13 and the number of items on the second list is 20.

[tex] {x}^{2} + x - 10506 = 0[/tex]

Step-by-step explanation:

-x, -(x+1)

-x-(x+1)=10506

x^2+x-10506=0

The answer is -445/4 in improper fraction form, -111 1/4 as a mixed fraction, and -111.25 in decimal form.

Answer:

-111.25

Step-by-step explanation:

Answer:

9. ⅓

12. 1/12

15. 4/25

bye

Step-by-step explanation:

9. ⅔×½=⅓ ( the 2 in the numerator cancel out with the 2 in the denominator).

12. ⅓×¼=¹/(3×4) = ¹/12. (multiply the denominators 3 & 4)

15. ⁴/10×⅖= 4/25. (divide 2 in the numerator with the 10 in the denominator which gives the quoetiont 5) .

hope this helps you.

The answer is a measure of gravitational force

Answer:

$29.90

Step-by-step explanation:

Just multiply gallons by price:

13 gallons x [tex]\frac{2.30 dollars}{1 gallon}[/tex] = 29.9

Answer:

Gfd 600

Step-by-step explanation:

(i) The graph of f is symmetric about the y-axis - this is another way of saying f is an even function, which means

[tex]f(x) = f(-x) \iff \dfrac{ax+b}{x^2-c} = \dfrac{-ax+b}{x^2-c}[/tex]

The denominator remains unchanged, so

ax + b = -ax + b

Solve for a :

ax = -ax

2ax = 0

a = 0

(The alternative is that x = 0, but if that were the case then there would be infinitely many choices for a.)

So

[tex]f(x) = \dfrac{b}{x^2-c}[/tex]

(ii) Since

[tex]\displaystyle \lim_{x\to2^+}f(x) = +\infty[/tex]

it follows that x - 2 must be a factor of the denominator. If that's true, then

x ² - c = (x - 2) (x - r )

for some other root r of x ² - c. Expanding the right side gives

x ² - c = x ² - (2 + r )x + 2r

so that

-(2 + r ) = 0   ===>   r = -2

2r = -c   ===>   -c = -4   ===>   c = 4

and so

[tex]f(x) = \dfrac{b}{x^2-4}[/tex]

(iii) Finally, we're given that f ' (1) = -2. Differentiating f gives

[tex]f'(x) = -\dfrac{2bx}{(x^2-4)^2}[/tex]

so that

[tex]f'(1) = -\dfrac{2b}{(1^2-4)^2} = -\dfrac{2b}{9}[/tex]

Then

-2b/9 = -2   ===>   b = 9

and we find that

[tex]f(x) = \dfrac{9}{x^2-4}[/tex]

Answer:

1.7

Step-by-step explanation:

in one hour, the first pump can fill the tank 1/4 of the way

in one hour, the other can fill it 1/3 of the way.

get them to the same denominator.

3/12+4/12=7/12 of the tank in one hour

1÷7/12=12/7=1 5/7=1.7

Answer:

it could be 1/8

[tex]food = \frac{1}{3} \times 48000 = 16000 \\ rent = \frac{1}{5} \times 48000 = 9600 \\ clothes = \frac{1}{4} \times 48000 = 12000 \\ food + rent + clothes = x \\ 16000 + 9600 + 12000 = 37600 \\ ndagune \: income - what \: he \: spends = what \: he \: saves \\ 48000 - 37600 = 10400 \\ ndagune \: saves \: 10400[/tex]

Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.

Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.

Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:

x + y = 30      (1)

Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:

8% of x + 20% of y = 10% of 30 liters

0.08x + 0.2y = 3         (2)

Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:

0.12x = 3

x = 25 liters

x + y = 30

25 + y = 30

y = 5 liters

Manuel needs 20 liters of the 8% and 5 liters of 20% mixture

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Answer:

m = 2/3

Step-by-step explanation:

4y = -6x + 72

y = -3/2x + 18

Negative reciprocal = 2/3

Answer:

55%

Step-by-step explanation:

1430 divided by 2600 is 0.55

0.55 is 55%

Answer:

1.6

Step-by-step explanation:

Answer:

c=9

Step-by-step explanation:

Let's solve your equation step by step:

1. [tex]1.5c-6+6=7.5+6[/tex]

1.5 [tex]1.5c=13.5[/tex]

2.[tex]\frac{1.5c}{1.5c}=\frac{13.5}{1.5c}[/tex]

3. C=9

1.5(9)-6=7.5

13.5-6=7.5

Answer:

9/20 or 45%

Step-by-step explanation:

Step-by-step explanation:

WHY IT IS SAYING YO WRITE AT LEAST 20 CHARACTERS

OHH, IT IS ALREADY 20 CHARACTERS

Answer:

angle 4 = 56°

Step-by-step explanation:

Interior angles in the same side of the transversal are supplementary (their sum is 180°)

Angle 1 and 4 are interior angles on the same side of the transversal.

So, angle 1 + angle 4 = 180°

Angle 1 = 124° (given)

124 + angle 4 = 180°

angle 4 = 180° - 124° = 56°

Therefore, angle 4 = 56°

Hope it helps :)

Answer:

Step-by-step explanation:

first open the bracket

3x-12-2x=6

collect like terms

3x-2x-12=6

x-12=6

x=12+6

x=18

This is your answer

Answer: 1/3

Step-by-step explanation: 2/3 - 1/3 = 1/3

Answer:

PLS MARK BRAINLIEST

Step-by-step explanation:

m= y2 - y1/ x2 - x1( slope of a line)

m = 8 -0 / 7- 0

8/7 = m

m = 1.1

since m =y - y1/ x - x1

1.1 = y - 0/ x-0

1.1 = y/x(cross multiply)

y = 1.1 x

y -1.1 x = 0

or

y - 8/7 x = 0

#1

Hence inequality will be

[tex]\\ \sf\longmapsto -6\leqslant 5[/tex]

#2.

But we need inequality

[tex]\\ \sf\longmapsto 3\leqslant 5[/tex]

#3

The inequality given by

[tex]\\ \sf\longmapsto -6\leqslant 3\leqslant 5[/tex]

Answer:

Step-by-step explanation:

Given numbers:

If we add these onto number line, we'll see them in same order from left to right.

We know the numbers increase from left to right on the number line, so the numbers to the left are smaller than the numbers to the right.

1.

2.

3.