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2 years ago

Please help Let f(x)=2x^2+x-3 and g(x)=x-1. Perform the indicated operation, then find the domain. (F-g)(x)

1 answer:

4 0

F(x) = 2x² + x - 3
g(x) = x - 1
(f - g)(x) = (2x² + x - 3) - (x - 1)
(f - g)(x) = 2x² + (x - x) + (-3 + 1)
(f - g)(x) = 2x² - 2

The answer is D.

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gavmur [86]

Answer:

the base is 10 and the height is 6.4

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2 years ago

Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on the variable expendi

elixir [45]

Answer:

a- x = 5/3, or x = -7/2

b- 675

c - 5·x + 2

Step-by-step explanation:

The polynomial representing the capital of the two partners = 6·x² + 11·x - 35

a. The total share is the capital of the two partners together = 6·x² + 11·x - 35

∴ When their total share is equal to 0, we have;

6·x² + 11·x - 35 = 0

Factorizing the above equation with a graphing calculator gives;

(3·x - 5)·(2·x + 7)

Therefore;

x = 5/3, or x = -7/2

b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;

When x = 10

6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675

The total expenditure of Vicky and Micky when x = 10 is 675

c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2

7 0

2 years ago

{(-9,3) (5,-6) (3,-1), (-6,5), ?}Which ordered pair can replace the missing value and make the set if ordered pairs NOT a functi

Nookie1986 [14]

$\text{Slope}=\frac{-1--6}{3-5}=\frac{5}{-2}$ $\begin{gathered} y-y_1=\frac{5}{-2}(x-x_1) \\ \\ y--6=\frac{5}{-2}(x-5) \\ \\ -2(y+6)=5(x-5) \\ -2y-12=5x-25 \\ 5x+2y=25-12 \\ 5x+2y=13 \end{gathered}$

The missing values are (-6, -9) ( The last option)

Explanation:

x= - 6 has already produced the value of y as 5, the only pair in the given option the make the given ordered pairs NOT to be a function is (-6, -9) since it will give the value of y to be - 9.

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7 months ago

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MatroZZZ [7]

Step-by-step explanation:

$= ( {2}^{2})^{4} \div {2}^{3}$

$= {2}^{2 \times 4} \div {2}^{3}$

$= {2}^{12} \div {2}^{3}$

$= {2}^{12 - 3}$

$= {2}^{9}$

$= 512$

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2 years ago

Pam pays $8.00 for 1 yard of fabric. How much would the fabric cost per inch? Round your answer to the nearest cent, if necessar

Aloiza [94]

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