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3 years ago

Given that f(x) = x^2 - 4x +1, find the value of m if f(m) = -3

Mathematics

1 answer:

iragen [17]3 years ago

3 0

a. Answer: m = 2

<u>Step-by-step explanation:</u>

f(x) = x² - 4x + 1

f(m) = m² - 4m + 1 = -3

m² - 4m + 4 = 0

(m - 2)(m - 2) = 0

m = 2

***************************************************

b. Answer: k = 2 and k = 5

<u>Step-by-step explanation:</u>

f(x) = x² - 7x + 14

f(k) = k² - 7k + 14 = 4

k² - 7k + 10 = 0

(k - 2)(k - 5) = 0

k = 2 k = 5

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Subtract the rational expression 1/x^2-x-6 - x/x+2.

Aleksandr [31]

Answer:

Step-by-step explanation:

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= (x + 2 )(x - 3)

$\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\$

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

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3 years ago

Perform the indicated operation.<br> 1/3÷3/8<br> A) 1/8<br> B)8/9<br> C)1 1/8

Alenkinab [10]

1/3÷3/8

Multiply by reciprocal

1/ 3÷ 8/3

Now multiply across

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8/9

Your answer is b .

4 0

3 years ago

Read 2 more answers

Solve the following system: <br> 3x + 2y = 7 <br> -4.5x - 3y = -10.5

valentina_108 [34]

Answer:

<u>infinitely many solutions</u>

Step-by-step explanation:

The system of equations :

3x + 2y = 7
-4.5x - 3y = -10.5

Multiplying Equation 1 times 3 and Equation 2 times 2 :

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

Putting the equations in standard form after simplifying :

6y = -9x + 21 ⇒ <u>y = -1.5x + 3.5</u>
-6y = 9x - 21 ⇒ <u>y = -1.5x + 3.5</u>

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As both equations are the same, the system will have <u>infinitely many solutions</u>.

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2 years ago

Can someone help please ASAP!!!!!!!

Snowcat [4.5K]

Answer:

the answer is C: m<CDB=63

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3 years ago

A certain amount of money is shared between

ICE Princess25 [194]

<h3>Hello There !! </h3>

<h3><u>Explanation :- </u></h3>

• Amount received by Rui = 5x = 5 x 11 = $55..

• Amount received by Vishal = 9x = 9 x 11 = $99..

Let the amount received by Rui be 5x..

Then the amount received by Vishal is 9x ..

And by this data = 5x + 44 = 9x ..

4x = 44
x = 44/4 = 11

• Amount received by Rui = 5x = 5 x 11 = $55..

• Amount received by Vishal = 9x = 9 x 11 = $99..

<h3>Hope this helps you..! </h3>

7 0

2 years ago