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nasty-shy [4]
3 years ago
12

Show the solution to each system of linear inequalities by graphing.

Mathematics
1 answer:
Lyrx [107]3 years ago
7 0
142628281991919182726(35262627282
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What is the solution to the equation 1/h-5+2/h+5=16/h^2-25
Luba_88 [7]

9514 1404 393

Answer:

  h = 7

Step-by-step explanation:

Perhaps you want the solution to ...

  1/(h -5) +2/(h +5) = 16/(h^2 -25)

Parentheses are required around denominators that have math operations.

Multiply by (h^2-25) and solve the linear equation.

  \displaystyle\frac{1}{h-5}+\frac{2}{h+5}=\frac{16}{h^2-25}\qquad\text{given}\\\\(h+5)+2(h-5)=16\qquad\text{multiply by $h^2-25$}\\\\3h-5=16\qquad\text{simplify}\\\\3h=21\qquad\text{add 5}\\\\\boxed{h=7}\qquad\text{divide by 3}

5 0
3 years ago
Dave is taking a algebra ii test and comes across this question: you have two die that you will roll. you will sum up the face v
sammy [17]
He should guess about 34 times. 

When you are rolling two dice there are 36 probabilities. In order to get an 8, there are 5 possibilities.

2 + 6, 3 + 5, 4 + 4, 5, + 3, 6 + 2

Therefore, the chances of an 8 are 5/36. Multiplying this by 250 gives us about 34.

The law of large numbers helps because it says the more rolls that take place, the more likely we are to get close to the expected value. With 250 rolls we should get pretty close.
5 0
4 years ago
Read 2 more answers
A teacher had t packs of notebooks, with 7 notebooks in each. He distributed 3 packs among his students. How many notebooks does
vaieri [72.5K]

Answer:

m/c

Step-by-step explanation:

6 0
3 years ago
Which law would you use to simplify the expression (p/q)3? power of a power power of a quotient quotient of powers power of a pr
Sloan [31]

Answer:

power of quotient

Step-by-step explanation:

We have been given an expression  and we are asked to choose the correct rule to simplify our given expression.

Since our given expression is a fraction raised to 3rd power. Power of a quotient rule states when a quotient is raised to an exponent, then the exponent is distributed to both numerator and denominator of the quotient.

Using power of a quotient rule, we will get, (\frac{p}{q} )^3=\frac{p^3}{q^3}

4 0
3 years ago
Read 2 more answers
What is the solution to the following system of equations?<br> y = x2 + 10x + 11<br> y = x2 + x − 7
likoan [24]
Equation 1)  y = x² + 10x + 11
Equation 2)  y = x² + x - 7

Subtract equations from one another.

9x = 18

Divide both sides by 9.

x = 2

Plug in 2 for x in the first equation.

y = x² + 10x + 11

y = 2² + 10(2) + 11

Simplify.

y = 4 + 20 + 11

y = 35

Plug in 35 for y and 2 for x in the first equation to check your work. 

y = x² + 10x + 11

35 = 2² + 10(2) + 11

35 = 4 + 20 + 11

35 = 24 + 11

35 = 35

So, we know that our answer is correct! :))

x = 2, y = 35


3 0
4 years ago
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