The equivalent expression -
4n + 19
The amount earned hourly by Ryan and the number of work hours required to cover his vacation cost are $29.75 and 63 hours respectively.
<u>Given the Parameters</u> :
- Total amount earned = $238
- Number of hours worked = 8 hours
Hourly earning = Total earning ÷ number of hours worked
Hourly earning = $238 ÷ 8 = $29.75
B.)
Vacation cost = $1850
Hourly earning = $29.75
<u>Number of work hours required</u> :
- Vacation cost ÷ Hourly earning
Therefore, Ryan will need to work for 63 hours to cover his vacation expenses.
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Answer:
x = -2.5
Step-by-step explanation:
Step 1: Write equation
-6.2 - 12.6x = 5.8 - 7.8x
Step 2: Solve for <em>x</em>
<u>Add 12.6x on both sides:</u> -6.2 = 5.8 + 4.8x
<u>Subtract 5.8 on both sides:</u> -12 = 4.8x
<u>Divide both sides by 4.8:</u> x = -2.5
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
-6.2 - 12.6(-2.5) = 5.8 - 7.8(-2.5)
-6.2 + 31.5 = 5.8 + 19.5
25.3 = 25.3
f(x) = (x - 4)^2 - 1
g(x) = -(1/4) ( x - 4)^2 + 4
both the x and y values have to be the same. Start with the y values
f(x) = g(x)
(x - 4)^2 - 1 = -(1/4) (x - 4)^2 + 4 Add 1 to both sides.
(x - 4)^2 = -(1/4) (x - 4)^2 + 5 Add 1/4(x - 4)^2 to both sides.
(5/4) (x - 4)^2 = 5 Divide by 5/4 on both sides.
(x - 4)^2 = 5//(5/4)
(x - 4)^2 = (5/1)//5/4 Invert the second fraction and multiply
(x - 4)^2 = 5/1 * 4/5
(x - 4)^2 = 4 The 5s cancel
(x - 4)^2 = 4 Take the square root of both sides.
(x - 4) = +/- 2 Add 4 to each answer. Start with +2 on the right.
x - 4 + 4 = 2 + 4
x = 4 + 2 = 6
The x value that makes f(x)- g(x) = 0 is x = 6 The point is (6,3) answer.
Answer C.
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You do not need this next part. It is just for completeness.
x - 4 = - 2
x = 4 -2
x = 2
What are the y values for these 2 x values?
y = (x - 4)^2 - 1
y = (6 - 4)^2 - 1
y = 4 - 1
y = 3
The point where f(x) - g(x) = 0 is (6,3) <<<<<< Answer 1
The second point is
y = (x - 4)^2 - 1
y = (2 - 4)^2 - 1
y = (-2)^2 - 1
y = 4 - 1
y = 3
The second point is (2,3). Answer 2
Note the y values are the same. You might expect that.
Answer:
them some expensive pencils
