All categories

3 years ago

HELP PLEASE -9x + 3 > 39 OR - 5x + 6 < 16

Mathematics

1 answer:

Mama L [17]3 years ago

3 0

9514 1404 393

Answer:

(-∞, -4) ∪ [-2, ∞)

Step-by-step explanation:

The solution to the first inequality is ...

-9x +3 > 39

-9x > 36 . . . . . subtract 3 from both sides

x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative

The solution to the second inequality is ...

-5x +6 ≤ 16

-5x ≤ 10 . . . . . . . subtract 6 from both sides

x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative

These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...

(-∞, -4) ∪ [-2, ∞)

The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.

You might be interested in

A car rental agency rents 200 cars per day at a rate of $30 per day. for each $1 increase in rate, 5 fewer cars are rented. at w

saul85 [17]

The rate should be $35. The agency would be able to rent 175 cars. The maximum income= 35 * 175 = $6125

5 0

4 years ago

Arie has 46$ in his account and is saving 8.50 each week Olga has 14$ in her savings account and is saving 12.50 each week after

victus00 [196]

Answer:

After 8 weeks Arie and Olga will have the same amount in their accounts

Step-by-step explanation:

Assume that Arie and Olga will have the same amount in their accounts after w weeks

∵ Arie has $46 in his account

∵ He is saving $8.50 each week

∵ He will do that for w weeks

- To find his amount after w weeks add 46 to the product of

w and 8.50

∴ Arie's amount = 8.50 w + 46

∵ Olga has $14 in her savings account

∵ She is saving $12.50 each week

∵ She will do that for w weeks

- To find her amount after w weeks add 14 to the product of

w and 12.50

∴ Olga's amount = 12.50 w + 14

∵ They will have the same amount in w weeks

- Equate their amounts

∴ 12.50 w + 14 = 8.50 w + 46

- Subtract 14 from both sides

∴ 12.50 w = 8.50 w + 32

- Subtract 8.50 w from both sides

∴ 4 w = 32

- Divide both sides by 4

∴ w = 8

After 8 weeks Arie and Olga will have the same amount in their accounts

4 0

3 years ago

Diane is on her way home in her car. She has driven 12 miles so far, which is three-fourths of the way home. What is the total l

andrew-mc [135]

16miles left

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is a slope intercept equation of the line that passes through the points (-6,-9) and (-11,-29)?

kiruha [24]

Y = 4x + 15 is slope intercept form

8 0

3 years ago

Convert the equation y= -4x + 2/3 into general form equation and find t the values of A,B and C.

alukav5142 [94]

Answer:

Standard form: $12x+3y-2=0$

A = 12, B = 3 and C = -2

Step-by-step explanation:

Given:

The equation:

$y= -4x + \dfrac{2}3$

To find:

The standard form of given equation and find A, B and C.

Solution:

First of all, let us write the standard form of an equation.

Standard form of an equation is represented as:

$Ax+By+C=0$

A is the coefficient of x and can be positive or negative.

B is the coefficient of y and can be positive or negative.

C can also be positive or negative.

Now, let us consider the given equation:

$y= -4x + \dfrac{2}3$

Multiplying the whole equation with 3 first:

$3 \times y= 3 \times -4x + 3 \times \dfrac{2}3\\\Rightarrow 3y=-12x+2$

Now, let us take all the terms on one side:

$\Rightarrow 3y+12x-2=0\\\Rightarrow 12x+3y-2=0$

Now, let us compare with $Ax+By+C=0$ .

So, A = 12, B = 3 and C = -2

6 0

3 years ago