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Ludmilka [50]
2 years ago
7

I NEED HELP ASAP PLEASEEEE

Mathematics
1 answer:
zhuklara [117]2 years ago
4 0

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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Answer:

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Step-by-step explanation:

This question means to find the volume of a sphere with a diameter of 14 inches. The formula for the volume of a sphere is 4/3πr^3, so we need to find the radius, which is half the diameter. Half of the diameter is 7 inches, so now we can plug in our values to find the volume is about 1436.76 cubic inches.

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Answer:

0.399

Step-by-step explanation:

The key to doing this problem properly lies in knowing and following order of operations rules.

Here we must perform mult. and div.  before  addition and subtr., but even before that we must do all work enclosed in parentheses first.

(22.8 × 10–3) is evaluated by doing the mult. first, and then subtracting 3:

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