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emmasim [6.3K]
3 years ago
10

Evaluate the function f (x)= x squared -4x+1 at the given values of the independent variable and simplify.

Mathematics
1 answer:
Ivan3 years ago
8 0
<h3>Given</h3>

... f(x) = x² -4x +1

<h3>Find</h3>

... a) f(-8)

... b) f(x+9)

... c) f(-x)

<h3>Solution</h3>

In each case, put the function argument where x is, then simplify.

a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97

b) f(x+9) = (x+9)² -4(x+9) +1

... = x² +18x +81 -4x -36 +1

... f(x+9) = x² +14x +46

c) f(-x) = (-x)² -4(-x) +1

... f(-x) = x² +4x +1

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Please help ASAP thanks
hjlf

Answer:

x = 2.5 inches. Or

x = 5/2

Step-by-step explanation:

Length: 7 + 2x

Width: 5 + 2x

Note that you have to add x at each end of the picture and onto each part of the width.

The entire area is 120 square inches.

Formula

L*W = Area

(2x + 7)(2x + 5) = 120

Solution

4x^2 + 10x + 14x + 35 = 120                Subtract 120 from both sides. Add xs

4x^2 + 24x + 35 - 120 = 0

4x^2 + 24x - 85 = 0                             Factor

(2x + 17)(2x - 5)

2x + 17 has no meaning. It will give -  8.5 which is not possible.

2x - 5 =0

2x = 5                                                  Divide by 2

x = 5/2

x = 2.5

Note: I don't know which one the computer is looking for.

8 0
3 years ago
Read 2 more answers
Solve for x <br> 6(x-9)=3x+2<br> give your answer as an improper fraction
MAXImum [283]

Answer:

56/3

Step-by-step explanation:

6x-54=3x+2

3x-54=2

3x=56

x=56/3

3 0
3 years ago
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Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars a
Alex17521 [72]
<h2>D</h2>

Find 15% of 12,800,

\frac{15}{100} ×\frac{12,800}{1}

= 1,920

8 0
3 years ago
5 times x to the one fourth power
skelet666 [1.2K]

Answer:

<em>5</em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>4</em>

<em>X </em><em>=</em><em> </em><em>2</em><em>0</em><em> </em>

<em>hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>u</em><em> </em><em>if </em><em>yes</em><em> </em><em>then</em><em> </em><em>foll</em><em>ow</em><em> me</em>

3 0
3 years ago
3. If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day is: (a) 1 – n
zaharov [31]

Answer:

If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day

will be \frac{1}{n}.

Step-by-step explanation:

From the question, it is clear that

  • If ‘A’ can finish a work in ‘n’ days, then
  • we have to determine the part of work finished in 1 day.

So

let 'n' be the number of days A takes to complete the whole work

Let the whole job be denoted as '1'

Thus, the part of work finished in 1 day will be:

                      \:\frac{Total\:work}{Time\:taken\:by\:A\:to\:complete\:the\:work}\:=\frac{1}{n}

Therefore, If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day will be \frac{1}{n}.

                             

Keywords: work, word problem

Learn more about word problem form brainly.com/question/12419898

#learnwithBrainly

3 0
3 years ago
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