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Lina20 [59]
3 years ago
14

Simplify foundation of alegebra

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

1.) -8 + 10(6 + 4r)

First multiply the 10 into (6 + 4r)

-8 + 60 + 40r

52 + 40r


2.) (8m² - 8m + 8) - (2m - 7m² - 6)

Distribute the - into (2m - 7m² - 6)

8m² - 8m + 8 - 2m + 7m² + 6

Combine like terms

15m² - 10m + 14

(idk if you need to factor this or if you can leave it as is)

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The answer is 0.6.

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Please help quickly
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Answer:

2x + 3

Step-by-step explanation:

Given

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= x² + 7x + 1 - x² - 5x + 2 ← collect like terms

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zhuklara [117]

Answer:

(f-g)(x)=x^2-6x+5  dom: (-∞,∞)

(\frac{f}{g})(x)=x-7+\frac{7}{x+2} dom: (–∞,–2)u(–2,∞)

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)=(x^2-5x+7)-(x+2) *distribute the negative sign into (x+2)!

x^2-5x+7-x-2\\x^2-6x+5

a parabola (anything that begins with x^2) will have a domain of (-∞,∞) or all real numbers!!

(\frac{f}{g} )(x)= \frac{x^2-5x+7}{x+2}      use synthetic division to divide (the attached picture)

domain: Because the graph is not continuous, you have to write the domains on both sides of the asymptote which is (-∞,-2)u(-2,∞)

<u>synthetic division:</u>

1. take the divisor (x+2) and solve for x.    x= –2 this goes in the top left corner

2. write the numbers AND their signs on the top row. if there is no number and just the variable (like x^2 ) just write 1.

3. the first number gets pulled down

4. multiply -2 by 1 and subtract it from –5. (-5-2= -7)

multiply -2 by -7 and add that to the next number in the top row which is -7. (-7 + 14=7)

5. the first number in the bottom row of numbers is the first number in the answer but with one less exponent than the dividend. **write 1 as x**

6. the last number in the bottom row, if it is not 0, is a remainder. write it as that number over the divisor. in this case the remainder is 7. so write it as \frac{7}{x+2}

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denis-greek [22]

Answer:

-2

Step-by-step explanation:

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