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Delicious77 [7]
3 years ago
15

Solve using algebreic methods y=x^2+5x, y=7-x

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

x = 1 and x = -7

Step-by-step explanation:

Given that,

y=x^2+5x  ...(1)

and

y = 7 -x ....(2)

Put the value of y from equation (2) in (1)

7-x=x^2+5x\\\\x^2+5x-7+x=0\\\\x^2+6x-7=0\\\\x^2+7x-x-7=0\\\\x(x+7)-1(x+7)=0\\\\(x-1)(x+7)=0

So,

x = 1 and x = -7

Hence, the solution of the given equations is x = 1 and x = -7

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blagie [28]

Answer: For the first part, her total savings would be $88, and for the second part, (let's pretend s = the total savings) the equation would be s = 40 + w x 6.

Step-by-step explanation: As for the first part, we would need to multiply her money per week times the amount of weeks she works. We can do this by simply multiplying the amount she makes (6) by the amount of weeks she works (8), resulting in 48, but we still have to add that number to the amount she already has, or 40, making $88 in total, as for the second part, this does a great job of explaining the reasoning behind that as well. Hope this answered your question!

8 0
3 years ago
A linear function is written:<br> f(x) = 3/2x-4<br> What is the value of f(5)?
valentinak56 [21]

Answer:

f(5)=3.5

Step-by-step explanation:

f(x)=\frac{3}{2}x-4\\f(5)=\frac{3}{2}(5)-4\\f(5)=7.5-4\\f(5)=3.5

Hope this helped!! Have an amazing day :D

4 0
3 years ago
Choose the notation below that describes the translation."
Yuliya22 [10]

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Step-by-step explanation: i guessed

6 0
3 years ago
Read 2 more answers
What is the value of x in the product of powers below? 6^9 6^x=6^2 -11 -7 11 7
Elodia [21]

Answer:

x = - 7

Step-by-step explanation:

Using the rule of exponents

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Given

6^{9} × 6^{x} = 6², then

6^{(9+x)} = 6²

Since the bases on both sides are equal then equate the exponents

9 + x = 2 ( subtract 9 from both sides )

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8 0
3 years ago
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Yanka [14]
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6 - 2 = x + 2 - 2
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6 0
3 years ago
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