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OlgaM077 [116]
3 years ago
12

PLEASE HELP IF YOU GET THIS RIGHT ILL GIVE YOU BRAINLIEST

Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0

Answer:

A I hope

Step-by-step explanation:

A

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- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :
RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
Can you draw a square with a perimeter of 20 units explain why or why not
Butoxors [25]
Yes because all sides would be equal to 5 which would give you 5*4 = 20 units. 
7 0
3 years ago
Read 2 more answers
Are the following polygons similar? If so what is the scale factor?
MrMuchimi

Answer: Yes, the scale factor is 10 :)

Step-by-step explanation:

8 0
2 years ago
Construct a linear equation for the linear data presented in the table
yaroslaw [1]

Answer:

y = -7x

Explanation:

Take two points from table: (-4, 28), (-3, 21)

Find slope:

\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \  where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points

\rightarrow \sf slope\ (m):   \dfrac{21-28}{-3-(-4)}  = -7

Now find equation:

\sf y - y_1 = m (x - x_1)

\rightarrow \sf y - 21 = -7(x - (-3))

\rightarrow \sf y  = -7(x +3) + 21

\rightarrow \sf y  = -7x -21 + 21

\rightarrow \sf y  = -7x

5 0
2 years ago
Read 2 more answers
A small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company
sukhopar [10]

Answer:

Step-by-step explanation:

Given that a small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company for over 10 years. So remaining 75 are between 5 and 10 years.

Suppose that one employee is selected at random from a list of the employees

A) Probability that the selected employee has been with the firm less than 5 years = \frac{50}{250 } \\= 0.20

B) Probability that the selected employee has been with the firm between 5 and 10 years

= \frac{75}{250 } \\= 0.30

C) Probability that the selected employee has been with the firm more than 10 years

= \frac{125}{250} =0.50

a) P(A) = 0.2

P(C) = 0.5

P(A or B) = 0.2+0.3 = 0.5

P(A and C) = 0 (since A and C are disjoint)

7 0
3 years ago
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