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aliina [53]
3 years ago
13

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

4 0
2 years ago
Find the value of x in the triangle shown below​
CaHeK987 [17]

Answer:

<h2>46.4°</h2>

Step-by-step explanation:

Apply sine formula:

\frac{sin \: a}{a}  =  \frac{sin \: b}{b}  =  \frac{sin \: c}{c}

\frac{sin \: a}{a}  =  \frac{sin \: c}{c}

Plug the values

\frac{sin \: (88)}{6.9}  =  \frac{sin \: x}{5}

Apply cross product property

5 \: sin \: (88) = 6.9 \: (sin \: x)

\frac{5 \: sin \: (88)}{6.9}  = sin \: x

x =  {sin}^{ - 1} ( \frac{5 \: sin \:( 88)}{6.9} )

x = 46.4

Hope this helps .....

Best regards!!!

3 0
3 years ago
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how far would the cheetah have traveled in the first eight minutes? show how you arrived at your answer
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8 0
3 years ago
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