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navik [9.2K]
4 years ago
5

Which of the following is the solution to the compound inequality

Mathematics
1 answer:
mote1985 [20]4 years ago
4 0

3x+5\geq-1\ \ \ |-5\\\\3x\geq-6\ \ \ |:3\\\\x\geq-2\\------------------\\-2x-7\geq5\ \ \ |+7\\\\-2x\geq12\ \ \ \ |:(-2) < 0\\\\x\leq-6

Answer:\ A.\ x\geq-2\ or\ x\leq-6

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!!!!SHOW WHY IT IS CORRECT PLEASEEE!!!!<br>\and please don't steal the points :(
jek_recluse [69]

Answer: Its correct because 3(2t+d) = 6t + 3d are equal.

Step-by-step explanation:

First we need to solve the equation

3( 2t+d ) = 6t + 3d              //// Do some distributive property

6t + 3d = 6t + 3d               //// Do you see it . . . They are equal to each other.

So its true.

4 0
3 years ago
Read 2 more answers
2) find an equation of the line theough the given
Olenka [21]

Answer:

y = -2x + 2

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (2, -1)

Points on the y-axis (y1, y2) = (-2, 4)

To find the equation of line in slope intercept form;

First of all, we would determine the slope of the line.

Mathematically, slope is given by the formula;

Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}

Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}

Substituting into the equation, we have;

Slope, m = \frac {4 - (-2)}{-1 -2}

Slope, m = \frac {4 + 2}{-1 -2}

Slope, m = \frac {6}{-3}

Slope, m = -2

Next, we would use the following formula to find the equation of the line;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - (-2) = -2(x - 2)

y + 2 = -2x + 4

y = -2x + 4 - 2

y = -2x + 2 = mx + c

8 0
3 years ago
Rewrite the fraction using the least common denominator <br><br> 4/9 7/15
denis23 [38]

Answer:

20/45 & 21/45

Step-by-step explanation:

Find a common denominator. What you do to the denominator, you do to the numerator. In this case, the smallest denominator is 45.

(4/9)(5/5) = 20/45

(7/15)(3/3) = 21/45

The two fractions you have is:

20/45 for 4/9

21/45 for 7/15

~

6 0
4 years ago
Read 2 more answers
Employees at The Shoe Shack get a 25% discount when they buy a pair of shoes at the store.
Amiraneli [1.4K]

Answer: Theo bought a pair of shoe for 36$

Step-by-step explanation:

25% = 0.25

48.00 * 0.25 = 12.00

   48.00 - 12.00 = 36.00

8 0
4 years ago
which choices are equivalent to the expression below? check all that apply square root -25 a. -5, b. 5i, c. -square root 25, d.
klio [65]

Answer:5i

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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