If f(x) = 2x^2+ 1 and g(x)= x^2-7, find (f-g)(x)

Answers

Answer 1
Answer:

Answer:

2x squared +1 (-)x squared -7 is

a.) x squared +8

Step-by-step explanation:

:)


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Graph g(x)=-2|x-5|-4

4(4x - 2) = x + 4
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Answers

Answer:

4(4x - 2) = x + 4

16x - 8 = x + 4

15x = 12

x = 12/15 = 4/5

Answer:

x = 0.8

Step-by-step explanation:

4(4x - 2) = x + 4

16x - 8 = x + 4

16x - x = 4 + 8

15x = 12

x = 0.8

The length of a rectangle is 5ft longer than twice the width if the perimeter is 58 ft find the length and width of the rectangle

Answers

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Define x :
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Let the width be x.
Width = x
Length = 2x + 5                // Length is 5ft longer than twice the width

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Formula for Perimeter :
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Perimeter = 2 (Length + Width)

----------------------------------
Find Width :
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58 = 2 ( 2x + 5 + x)         // Substitute Length and Width into formula
58 = 2 (3x + 5)                // Combine like terms
58 = 6x + 10                    // Apply distributive property
48 = 6x                            // Take away 10 from both sides
6x = 48                            // Switch sides. Make x the subject
x = 8                                // Divide by 6 on both sides

----------------------------------
Find Length and Width :
----------------------------------
Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft

--------------------------------------------------------------------
Answer: The length is 21 ft and the width is 8 ft.
--------------------------------------------------------------------

Length= 5+2x
Width = x

Perimeter = 2(l+w)=58
= 2(5+2x+x)=58
= 2(5+3x)=58
= 10+6x =58
= 6x= 48
X= 8
Width=8
Length= 21

Marcus likes Nike sneakers. He paid $195 for a sneaker that originally cost $245. What is the percent discount of his purchase?

Answers

Answer:

21%

Step-by-step explanation:

195 divided by 245 = 0.79 approximately

100-79=21

Always divide the small number by the big number for percentages

Good luck!

During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 3 hours, at a rate of 3 inches per hour for the next 5 hours, and at a rate of 0.75 inch per hour for the final hour.How many inches of snow accumulated from the storm?

Answers

Answer:

use f(x)=y=mx+b

let snow = S, time = t instead of y and x

S(t)=mt+b

The rate of inches per hour represents the slope of the graph, m.

The y-variable would be the amount of snow, S.

The x-variable would be the time, t, in hours.

The function has three pieces:

i) S(t)= 2t (slope = 2)

ii) S(t) = 3t (slope = 3)

iii) S(t) = 0.75t (slope = 0.75)

For the first piece, i), t=3, so the amount of snow is 6 inches.

For the second piece, ii) t=5, so the amount of snow is 15 inches.

For the third piece, iii) t=1, so the amount of snow is 0.75 inch.

In total, it snowed 21.75 inches.

total snow

Final answer:

To find the total accumulation of snow during the nine-hour snowstorm, we calculate the snow accumulation for each hour and then sum them up. The total accumulation of snow from the storm is 21.75 inches.

Explanation:

To find the total accumulation of snow during the nine-hour snowstorm, we need to calculate the amount of snow that fell during each hour and then sum them up. First, we calculate the snow accumulation for each hour:

  1. For the first 3 hours, it snowed at a rate of 2 inches per hour, so the accumulation is 3 * 2 = 6 inches.
  2. For the next 5 hours, it snowed at a rate of 3 inches per hour, so the accumulation is 5 * 3 = 15 inches.
  3. For the final hour, it snowed at a rate of 0.75 inch per hour, so the accumulation is 1 * 0.75 = 0.75 inches.

Finally, we sum up the accumulations for each hour: 6 + 15 + 0.75 = 21.75 inches. Therefore, the total accumulation of snow from the storm is 21.75 inches.

Learn more about Snow accumulation here:

brainly.com/question/33175695

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5 (8 4) = (5 × 8) + (5 × 4)

Answers

Answer: it think its 60

Step-by-step explanation:

Answer:...

Step-by-step explanation:

A store charges 6% GCT on all sales. What is the total cost of a shirt marked at $30? *2 points
Your answer

Answers

Answer:

$12

Step-by-step explanation:

I hope this helps. Have a great day!

Answer:

$31.80

Step-by-step explanation:

first convert 6% into a decimal which is 0.06. then multiply 30 by 0.06 to get 6% of 30 which is 1.80. then add 1.80 to 30 to get your final cost of 31.80

30*0.06=1.80

30+1.80=31.80

final cost: $31.80

Hope this helps!