All categories

4 years ago

Which inequality will have a shaded area above its graph?

2 answers:

7 0

x − 9y ≤ 1

Because If you solve the equation y will be greater than ...

x − 9y ≤ 1

Solve for y...

Subtract x from both sides...

- 9y ≤ - x + 1

Divide both sides by -9

REMEMBER WHEN DIVIDING OR MULTIPLYING BY A NEGATIVE NUMBER FLIP THE INEQUALITY SIGN....

y ≥ x/9 - 1/9

Ulleksa [173]4 years ago

7 0

To find the inequality whose graph is shaded *above* the line, you’ll have to find the inequality in which y is greater than the right side of the inequality. This boils down to isolating y in each of these, but there’s a bit of a shortcut you can take if you know about how multiplying/dividing both sides of an inequality by a negative number flips the inequality.

If the coefficient of y is negative, you’ll have to flip the inequality sign around in the process of isolating y. Which of those options have negative coefficients for y, and how would flipping the inequality sign effect them? Try to find the one option where the inequality ends up facing the y.

You might be interested in

Need help with these

liraira [26]

1. 4(2+3c) = 56

c = 4

3. -29 = 5(2a-1)+2a

a = -2

5 . 7p-(3p+4) = -2(2p-1)+10

p=2

7. 1/2 (-4+6x) = 1/3x + 2/3*(x+9)

x=4

Step-by-step explanation:

1. 4(2+3c) = 56

$4(2+3c) = 56\\8+12c = 56$

Subtracting 8 from both sides

$8-8+12c = 56-8\\12c = 48$

Dividing both sides by 12

$\frac{12c}{12} = \frac{48}{12}\\c = 4$

Checking:

$4[2+3(4)] = 56\\4(2+12) = 56\\4(14) = 56\\56 = 56$

3. -29 = 5(2a-1)+2a

Simplifying

$-29 = 10a-5+2a\\-29 = 12a-5$

Adding 5 on both sides

$-29+5 = 12a - 5+5\\-24 = 12a$

Dividing both sides by 12

$\frac{12a}{12} = \frac{-24}{12}\\a = -2$

Checking:

$-29 = 5(2a-1)+2a\\-29 = 5[2(-2)-1]+2(-2)\\-29 = 5(-4-1) -4\\-29 = 5(-5) -4\\-29 = -25-4\\-29 = -29$

5 . 7p-(3p+4) = -2(2p-1)+10

Simplifying

$7p-3p-4 = -4p+2+10\\4p-4 = -4p+12$

Adding 4 on both sides

$4p-4+4 = -4p+12+4\\4p = -4p+16$

Adding 4p on both sides

$4p+4p = -4p+4p+16\\8p = 16$

Dividing both sides by 8

$\frac{8p}{8} = \frac{16}{8}\\p = 2$

Checking:

$7p-(3p+4) = -2(2p-1)+10\\7(2)-[3(2)+4] = -2[2(2)-1] +10\\14 - (6+4) = -2 (4-1) +10\\14 - 10 = -2(3) +10\\4 = -6+10\\4=4$

7. 1/2 (-4+6x) = 1/3x + 2/3*(x+9)

Simplifying

$\frac{1}{2} (-4+6x) = \frac{1}{3}x+\frac{2}{3}(x+9)\\\frac{-4}{2}+\frac{6x}{2} = \frac{x}{3} +\frac{2x}{3} + \frac{18}{3}\\-2+3x = \frac{x+2x+18}{3}\\-2+3x = \frac{3x+18}{3}\\3(-2+3x) = 3x+18\\-6+9x = 3x+18$

Adding 6 on both sides

$-6+6+9x = 3x+18+6\\9x = 3x+24$

Subtracting 3x from both sides

$9x-3x = 3x-3x+24\\6x = 24$

Dividing both sides by 6

$\frac{6x}{6} = \frac{24}{6}\\x = 4$

Checking:

$\frac{1}{2} [-4+6(4)] = \frac{1}{3}(4)+\frac{2}{3}(4+9)\\\frac{1}{2}(-4+24) = \frac{4}{3}+\frac{2}{3}(13)\\\frac{1}{2}(20) = \frac{4}{3} +\frac{26}{3}\\15 = \frac{4+26}{3}\\15 = \frac{30}{3}\\15=15$

Keywords: Linear equations

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

The highest score on an algebra test was 42 points more than the lowest. When added together, the lowest and highest score was 1

dlinn [17]

Let us assume lowest score is = x.

We are given "The highest score on an algebra test was 42 points more than the lowest."

We took x for lowest score.

So, we need to write an expression for highest score in terms of x.

Therefore, the expression for highest score is = 42 more than x = x+42.

Is is also given that sum of both scores is 154.

We can setup and equation by using above statement.

Lowest score + Highest score = Total scrore.

x + x + 42 = 154.

Adding x and x we get 2x.

Therefore,

2x + 42 =154.

Subtracting 42 from both sides, we get

2x + 42-42 =154-42

2x = 112.

Dividing both sides by 2, we get

2x/2 = 112/2

x = 56.

Highest score = 56+42 = 98.

Therefore, highest score is 98 and lowest score is 56.

5 0

4 years ago

Mr. Anderson had 4/5 of a pizza left over and split it among his 4 children. What fraction of the pizza did each child get?

Soloha48 [4]

Answer:

Step-by-step explanation:

there were 5 pieces now there is 4. so 4 slices of pizza divided by 4 is 1

3 0

4 years ago

Which statement describes a hexagon.

Aliun [14]

The answer is (c). The picture shows that all of the angles and sides are equal, meaning that it's both equilateral and equiangular.

5 0

4 years ago

25 pounds of dog food at $1.25 per pound

RoseWind [281]

Answer:

$31.25

Step-by-step explanation:

multiply 25 by 1.25

4 0

3 years ago

Read 2 more answers