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frosja888 [35]
3 years ago
5

A first number plus twice a second number is 4. Twice the first number plus the second totals 20. Find the numbers

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

The first number is 6

The second number is -1

6+(-2)=4

6*2=12 12+(-1)=11

Step-by-step explanation:


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−2x=x2−6 Rewrite the equation by completing the square.
V125BC [204]

Answer:

(x + 1)² = 7

Step-by-step explanation:

Given:

-2x = x² - 6

We'll start by rearranging it to solve for zero:

x² + 2x - 6 = 0

The first term is already a perfect square so that's fine.  Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.

Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term.  That value will of course be 1, giving us:

x² + 2x + 1 - 1 - 6 = 0

Now can group our perfect square on the left and our constants on the right:

x² + 2x + 1 - 7= 0

x² + 2x + 1 = 7

(x + 1)² = 7

To check our answer, we can solve for x:

x + 1 = ± √7

x = -1 ± √7

x ≈ 1.65, -3.65

Let's try one of those in the original equation:

-2x = x² - 6

-2(1.65) = 1.65² - 6

- 3.3 = 2.72 - 6

-3.3 = -3.28

Good.  Given our rounding that difference of 2/100 is acceptable, so the answer is correct.

6 0
3 years ago
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Delicious77 [7]
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4 0
3 years ago
Find the equation of the line
PolarNik [594]

Answer:

y = 10x +

the picture is cut short so I can't help with the next box.

8 0
2 years ago
Read 2 more answers
Al and Bill each have two bullets. They fire alternately at a glass bottle. Al has hitting probability 1/3 and Bill 1/4. What is
enot [183]
P(Al hits bottle first time) = 1/3
P(Al misses the first shot but hits on his second shot) =  
P( Al misses and bill misses and Al hits) = 2/3 * 3/4 * 1/3 = 1/6

So required probability = 1/3 + 1/6 =  1/2
8 0
3 years ago
Complete the squares so that the differences shown on the outside are correct
leonid [27]

8 5                   and 18 8

7 2                           9 2

8 - 5 = 3, 8 - 7 = 1, 5 - 2 = 3 and 18 - 8 = 10, 18 - 9 = 9, 9 - 2 = 7, 8 - 2 = 6


4 0
3 years ago
Read 2 more answers
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