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Dmitry_Shevchenko [17]
2 years ago
14

If f(x) = 2x² + 5 and g(x) = x² - 2, find

Mathematics
1 answer:
IgorLugansk [536]2 years ago
4 0

Answer:

C. x² + 7

Step-by-step explanation:

If f(x) = 2x² + 5 and g(x) = x² - 2, then

(f - g)(x) = f(x) - g(x)

            = (2x² + 5) - (x² - 2)

            = 2x² + 5 - x² + 2

            = 2x² - x² + 5  + 2

            = x² + 7

           

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What are the solutions of the quadratic equation? 4x^2+9x-9=0
vagabundo [1.1K]

Answer:

x=3/4

x=-3

Step-by-step explanation:

we have

4x^2+9x-9=0

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

4x^2+9x-9=0

so

a=4\\b=9\\c=-9

substitute in the formula

x=\frac{-9(+/-)\sqrt{9^{2}-4(4)(-9)}} {2(4)}

x=\frac{-9(+/-)\sqrt{225}} {8}

x=\frac{-9(+/-)15} {8}

x=\frac{-9+15} {8}=3/4

x=\frac{-9-15} {8}=-3

5 0
3 years ago
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Need help asap with these
IRISSAK [1]

Answer:

1. 6n - 15

2. x + 10

3. -4d + 15

4. true, associative property

5. distributive, commutative

Step-by-step explanation:

1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20

2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms

3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms

4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up

5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer

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Answer:

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Step-by-step explanation:

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