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3 years ago

For the functions f(x)=x4−x3−7x2+9x−2 and g(x)=x−1, find (f/g)(x) and (f/g)(2).

Mathematics

1 answer:

Fed [463]3 years ago

4 0

Answer:

(f/g)(x) = x³ - 7x + 2

(f/g)(2) = -4

Step-by-step explanation:

To find (f/g)(x), divide f(x) by g(x). The process is shown in the attached image.

(f/g)(x) = x³ - 7x + 2

To find (f/g)(2), plug in 2 wherever there is an x.

(f/g)(x) = x³ - 7x + 2

(f/g)(2) = (2)³ - 7(2) + 2

(f/g)(2) = 8 - 14 + 2

(f/g)(2) = -6 + 2

(f/g)(2) = -4

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5x + 2y=7<br> - 2x + 6y=9

ollegr [7]

Answer:

x = $\frac{12}{17}$ or 0.706

$y = \frac{59}{34}$ or 1.735

Step-by-step explanation:

5x + 2y=7 ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7

15x + 6y = 21 ----->(eq 3)

substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

- 2x + 6y - 15x - 6y = 9-21

- 2x - 15x + 6y - 6y = 9-21

-17x = -12

x = -12 ÷ -17

x = $\frac{12}{17}$

put x = $\frac{12}{17}$ in (eq 1)

$5*\frac{12}{17} + 2y = 7$

$2y = 7- 5*\frac{12}{17}$

$2y = \frac{7*17 - 60}{17}$

$2y = \frac{119- 60}{17}$

$2y = \frac{59}{17}$

$y = \frac{59}{17*2}$

$y = \frac{59}{34}$

6 0

3 years ago

What is hs the answer to this question?<br><br> Y= 5x+5<br> Y - x=5

ANEK [815]

Y = 5x + 5
y - x = 5

You can use substitution to solve this system. Use y's expression (5x + 5) for y in the second equation to solve for x:

y - x = 5
5x + 5 + x = 5
6x + 5 = 5
6x = 0
x = 0

Substitute your value for x into one of the original equations to y:

y = 5x + 5
y = 5(0) + 5
y = 5

Finally, substitute both values into both original equations to check your work:

5 = 5(0) + 5 --> 5 = 5 <--True
5 - 0 = 5 --> 5 = 5 <--True

Answer:
x = 0
y = 5

3 0

3 years ago

6. (03.06)<br> Which of the following will give you the Incorrect slope? (1 point)

creativ13 [48]

The last one will give the incorrect slope