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Nadusha1986 [10]
4 years ago
13

Algebra 1 Solving Compound Inequalities​

Mathematics
1 answer:
Annette [7]4 years ago
8 0

-25 ≤ -5n ≤ 30

Let's solve one side of the inequality at a time.

-5n ≤ 30

Divide both sides by -5. When you divide by a negative number, it switches the sign.

n ≥ -6

Now, let's do the other side of the inequality.

-5n ≥ -25

Divide both sides by -5.

n ≤ 5

Our new compound inequality looks like: -6 ≤ n ≤ 5

Put one point at -6 and one point at 5 and connect the dots to graph the inequality.

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Please help very urgent
nydimaria [60]

Answer:

Amplitude = 5.5 units

Domain = All Real Numbers

Range = [-11,11]; {y | -11 ≤ y ≤ 11}; greater than or equal to -11 and less than or equal to 11.

8 0
3 years ago
The town of winters has a total population of 4026. if 1342 children live in winters, rounded to the nearest whole percent, what
anyanavicka [17]
The answer would be 1/3 of the population is children. All you need to do to solve this problem is divide the portion of the population (in this case, children) by the total of the population. Therefore, you have 1342/4026 which reduces to 1/3. If you would like to represent this as a percent, it would be approximately 33.33%
0 0
4 years ago
Read 2 more answers
The difference between two numbers is 9.
laiz [17]

Answer:

first number=15 second number=6

Step-by-step explanation:

lets take the first and second numbers as "a" and "b"

a-b=9

a+2b=27  (solve these equations simultaneously)

eliminating a

-3b= -18

b= 6

then substitute in the first equation

a-6=9

a=9+6

a=15

I really hope you know how to solve equations simultaneously

hope this helped

5 0
3 years ago
What’s the answer to this question if your right I’ll keep giving you points
andreyandreev [35.5K]

\huge\text{$m\angle O=\boxed{11^{\circ}}$}

Since we know that all angles in a triangle add up to 180^{\circ}, we can solve for x and substitute it back into (x-5)^{\circ} to find m\angle O.

\begin{aligned}m\angle N+m\angle O+m\angle P&=180\\(5x-8)+(x-5)+(6x+1)&=180\end{aligned}

Remove the parentheses and combine like terms.

\begin{aligned}5x-8+x-5+6x+1&=180\\(5x+x+6x)+(-8-5+1)&=180\\12x-12&=180\end{aligned}

Add 12 to both sides of the equation.

\begin{aligned}12x-12&=180\\12x&=192\end{aligned}

Divide both sides of the equation by 12.

\begin{aligned}x=16\end{aligned}

Now that we have the value of x, we can substitute it back into (x-5)^{\circ} to find m\angle O.

\begin{aligned}m\angle O&=(x-5)\\&=16-5\\&=\boxed{11}\end{aligned}

7 0
3 years ago
5. Show and prove why (xyz)to the power of 4=x to the power of 4 +y to the power of 4+z to the power of 4
Mkey [24]

Answer:

4

Step-by-step explanation:

i dobt even know

5 0
3 years ago
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