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adelina 88 [10]
3 years ago
9

8. Example 1 - Calculating Hourly Wages

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:

279.00

Step-by-step explanation:

7.75x36

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See the ​attached file.
Masja [62]

f(x) = 4x - x^2

1)

f(4) = 4(4) - 4^2 = 16 - 16 = 0

f(-4) = 4(-4) - (-4)^2 = -16 - 16 = -32

f(4) - f(-4) = 0 - (-32) = 32

2)

f(3/2) = 4(3/2) - (3/2)^2

f(3/2) = 6 - 9/4 = 15/4

√f(3/2) = √(15/4) = √15 / 2

3)

f(x + h) = 4(x + h) - (x + h)^2

= 4x + 4h -(x^2 + 2xh + h^2)

= 4x + 4h -x^2 - 2xh - h^2

f(x - h) = 4(x - h) - (x - h)^2

= 4x - 4h -(x^2 - 2xh + h^2)

= 4x - 4h -x^2 + 2xh - h^2

So

[f(x + h) -f(x - h) ] / 2h

= [4x + 4h -x^2 - 2xh - h^2 - ( 4x - 4h -x^2 + 2xh - h^2 )] / 2h

=( 4x + 4h -x^2 - 2xh - h^2 - 4x + 4h + x^2 - 2xh + h^2 ) / 2h

= (8h - 4xh) / 2h

= 2h(4 -2x) / 2h

= 4 - 2x

Answer: [f(x + h) -f(x - h) ] / 2h = 4 - 2x

3 0
2 years ago
A student used the complex fraction
34kurt

Answer:1

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A circular running track is 1/4 mile long. Elena runs on this track completing each lap in 1/4 of an hour. What is Elena's runni
daser333 [38]

Answer:

She is going 1mph

Step-by-step explanation:

each lap is 1/4 of a mile and 1/4 of an hour so 4 laps = 1 mile and in 1 hour

7 0
3 years ago
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.1\text{ ft}10.1 ft and the height of the
rjkz [21]

Answer:

28.5 ft^3

58.3 m^3

Step-by-step explanation:

volume of a pyramid = 1/3 x length x width x height

Perimeter of a pyramid = 4 x length

10.1 = 4 x length

length = 10.1 / 4 = 2.525

1/3 x (2.525 x 2.525 x 13.4) = 28.5 ft^3

1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

8 0
2 years ago
Can someone help me with this? its solving systems by substitution
yKpoI14uk [10]
Answer: x = 1 and y = 2

Given:
y = -3x + 5
5x - 4y = -3

Since we are given y, let’s sub it in the second equation.

5x - 4(-3x + 5) = -3
5x + 12x - 20 = -3
17x = 17
x = 1

After finding x, we can now find y.

5(1) - 4y = -3
-4y = -8
y = 2

Checking:

y = -3x + 5
2 = -3(1) + 5
2 = 2


5x - 4y = -3
5(1) - 4(2) = -3
-3 = -3
8 0
2 years ago
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