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2 years ago

Which of the following are possible solutions for the inequality ??

Mathematics

1 answer:

meriva2 years ago

8 0

-1/2 and -2 would be the answer

This would be because when you plug these number instead of x the answer is equal to or less than 13

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Read 2 more answers

−7x−50≤−1 AND−6x+70>−2

fgiga [73]

Answer:

$-7\geq x$ and $[-7,12)$ in interval notation.

Step-by-step explanation:

We have been given a compound inequality $-7x-50\leq -1\text{ and }-6x+70>-2$ . We are supposed to find the solution of our given inequality.

First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.

$-7x-50\leq -1$

$-7x-50+50\leq -1+50$

$-7x\leq 49$

Dividing by negative number, flip the inequality sign:

$\frac{-7x}{-7}\geq \frac{49}{-7}$

$x\geq -7$

$-6x+70>-2$

$-6x+70-70>-2-70$

$-6x>-72$

Dividing by negative number, flip the inequality sign:

$\frac{-6x}{-6}$

$x$

Upon merging both intervals, we will get:

$-7\geq x$

Therefore, the solution for our given inequality would be $-7\geq x$ and $[-7,12)$ in interval notation.

7 0

3 years ago

A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture

OleMash [197]

Answer:

Length of diagonal of picture = 15.30 inches

Step-by-step explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

$(12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25$

Taking square root on both sides

$\sqrt{c^2}=\sqrt{234.25}\\c=15.30$

Hence,

Length of diagonal of picture = 15.30 inches

3 0

3 years ago

A trough is an open container that is used to hold food or water for animals. The figure below shows a water trough.

zvonat [6]

Answer:

8 ft², 21.8ft², and 11.2ft²

Step-by-step explanation:

3 0

3 years ago