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GrogVix [38]
2 years ago
8

This system has one solution.

Mathematics
2 answers:
Grace [21]2 years ago
8 0

Answer:

y=2

Step-by-step explanation:

Given that the system has one solution.

y=8x−14,

y=x^2+4x−10

Now we need to find about what is the y-coordinate of the solution.

To find that plug value of y from first equation into 2nd equation

8x−14=x^2+4x−10

0=x^2+4x−10-8x+14

0=x^2-4x+4

0=x^2-2x-2x+4

0=(x-2)(x-2)

=> x-2=0 or x=2

Now plug x=2 into first equation

y=8x-14

y=8(2)-14

y=16-14

y=2

Hence final answer is y=2

mr_godi [17]2 years ago
3 0

Answer: It is 2.

Step-by-step explanation:

Make both equation equal to each other and solve for x, as following:

- Add like terms.

- Factor the equation.

8x-14=x^{2}+4x-10\\x^{2}+4x-10-8x+14=0\\x^2-4x+4=0\\(x-2)(x-2)=0\\(x-2)^2=0\\x=2

Substitute the value of x obtained into any of the original equations to obtain the y-coordinate.

Then, this is:

y=8(2)-14\\y=16-14\\y=2

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The work in an office takes 150 hours to complete every week. Each person in the office works 32hours a week. What is the smalle
tatiyna

Answer:

5

Step-by-step explanation:

To answer this, we must figure out the minimum amount we can add 32 to itself to reach 150. This means that we must multiply 32 by our desired amount, x, to reach the amount of hours closest to 150 (but above/equal to it). To find x, we can divide 150 by 32, and if it gives us a number with no decimals or remainders, that is x, as it is the smallest amount of people to get above/equal to 150. If it gives us a remainder/decimal, we must round up, as we cannot have a part of a person and we must get the work done, so we must get at least 150 hours. 150/32 is 4.6 something, so we must round up. 5 is our answer

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3 years ago
Solve:<br> -8(x - 3) + 5x &lt; 9(x + 12)<br> This is Algebra 1
Flauer [41]

Answer:

x>−7

Step-by-step explanation:

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right side:

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3 years ago
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7n+2 = 4n+17 solve the equation
lions [1.4K]

Answer:

n = -5

Step-by-step explanation:

Solve for n:

n + 2 = 4 n + 17

Hint: | Move terms with n to the left hand side.

Subtract 4 n from both sides:

(n - 4 n) + 2 = (4 n - 4 n) + 17

Hint: | Combine like terms in n - 4 n.

n - 4 n = -3 n:

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Hint: | Look for the difference of two identical terms.

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Hint: | Simplify the sign of 5/(-1).

Multiply numerator and denominator of 5/(-1) by -1:

Answer: n = -5

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