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My name is Ann [436]
3 years ago
7

X^2+y^2-16x-161=0 factor it

Mathematics
1 answer:
Jlenok [28]3 years ago
3 0

(x-8)^2+y^2=225 I'm not able to factor it

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Given that f(x)=x^2-3x+3 and g(x)=x-1/4 slove for f(g(x)) when x=5
Y_Kistochka [10]
When x=5, f(g(x)) would be (x-1/4)^2 - 3(x-1/4) + 3 which when you plug 5 in for x, you get 11.3125 as an answer
6 0
3 years ago
Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, wh
gavmur [86]

The simplified expression of the function f(x) =\dfrac{x-4}{x^2+13x+36} is

f(x) = \dfrac{x-4}{(x+9)(x+4)}. f(x) is increasing for all x > –4.The correct answer is option C.

<h3>What is a function?</h3>

A function is defined as a relation between the set of inputs having exactly one output each.

The function expression is given as:

f(x) =\dfrac{x-4}{x^2+13x+36}

Expand the denominator

f(x) =\dfrac{x-4}{x^2+4x +9x+36}

Factorize the denominator

f(x) =\dfrac{x-4}{x(x+4)+9(x+4)}

Factor out x + 9

f(x) = \dfrac{x-4}{(x+9)(x+4)}

The simplified expression of the function f(x) =\dfrac{x-4}{x^2+13x+36} is

f(x) = \dfrac{x-4}{(x+9)(x+4)}. f(x) is increasing for all x > –4

Read more about functions at:

brainly.com/question/1851758

#SPJ1

8 0
2 years ago
Q supp r and m q =22 degrees
netineya [11]

Answer:

<R = 158

Step-by-step explanation:

Supplementary angles equal 180 degrees.

<Q + <R =180

22 + <R = 180

Subtract 22 from each side

22-22 + <R = 180-22

R = 158

3 0
2 years ago
Read 2 more answers
2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3
ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29

The associated matrix to the system is

\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]

3.

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]

Using backward substitution we have that

0x_5=-140, then 0=-140 and this is absurd. Then The system is inconsistent.

4 0
3 years ago
What is the range of the function pictured below?
zhenek [66]

Answer:

0 ≤y ≤ 60

Step-by-step explanation:

The range is  values the y can take

y goes from 0 to 60

10 ≤y ≤ 60

3 0
3 years ago
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