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andrey2020 [161]
2 years ago
15

0=x^2+2x-11 solve by completing the square

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
6 0

Answer:

Below in bold.

Step-by-step explanation:

x^2 + 2x- 11 = 0

x^2 + 2x = 11

x^2 + 2x + 1 = 11 + 1

(x + 1)^2 = 12

x + 1 = ±√ 12

x = -1  ± √12

= -4.464, 2.464 to the nearest thousandth.

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 Solve the system of inequalities and indicate all the integers which are in the solution set:
elena-s [515]
1.) a>10
2.) a<3.5
How I got it: 1.) Subtract 3 from both sides, leaving -2a<10.
2.) Divide by -2 from both sides, remember to flip the inequality sign when dealing with negatives. This leaves you with a>10.
For number 2.) I divided both sides by 5, leaving a<3.5, though this answer may be wrong.
8 0
3 years ago
Simplify this expression;<br>3(2x+7)
Advocard [28]

Answer:

6x+21 (Maybe)

Are you doing the buddy method, how is your teacher wanting to do this, When you respond I might have the correct answer

(buddy method) Multiply the 2x and 7 by the 3 giving you 6x+21 and then that's it you cant do anything else but I don't know if that's how you're teacher wants it done.


5 0
3 years ago
Read 2 more answers
.<br> Evaluate the series 1 + 0.1 + 0.01 + . . .
EastWind [94]

We can employ a simple repeated decimal trick:

x=1.111\ldots

0.1x=0.111\ldots

\implies x-0.1x=1\implies0.9x=1\implies x=\dfrac1{0.9}=\dfrac{10}9

###

Alternatively, we can compute the partial sum of the series.

\displaystyle S_n=\sum_{k=0}^n\dfrac1{10^k}

S_n=1+0.1+0.01+\cdots+\dfrac1{10^n}

0.1S_n=0.1+0.01+0.001+\cdots+\dfrac1{10^{n+1}}

\implies S_n-0.1S_n=0.9S_n=1-\dfrac1{10^{n+1}}

\implies S_n=\dfrac{10}9-\dfrac9{10^n}

As n\to\infty, the second term vanishes and we're left with \dfrac{10}9. Notice that this is really just a more formal version of the earlier trick.

6 0
3 years ago
Read 2 more answers
The grocery store makes a 20% profit on baked goods. The profit for baked goods last month was $600. What was the total sales fo
torisob [31]

Let x = total sales of baked goods      remember 20% = .20 as a decimal

so the equation would be .20x = $600

divide both sides by .20

                                     .20x/.20 = $600/.20

           

                                                x = $3000 the total sales of baked goods

CHECK:  20% times $3000 = .20 times $3000 = $600

4 0
3 years ago
Can somebody please help meee??
inysia [295]

Answer: d. He multiplied when he was supposed to divide

Step-by-step explanation:

He just multiplied across when he was supposed to divide (or cross multiply) to find the unit rate :)

8 0
3 years ago
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