Answer: Length = l
Width = w
2l + 2w = 80cm
l+w = 40cm
l = w+4
w+4 + w = 40cm
2w + 4 = 40cm
2w = 36cm
w = 18cm
l = 22cm
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Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
Step 1: Write equation
9 - 2x = 7x
Step 2: Solve for <em>x</em>
<u>Add 2x on both sides:</u> 9 = 9x
<u>Divide both sides by 9:</u> x = 1
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
9 - 2(1) = 7(1)
9 - 2 = 7
7 = 7
Answer:
7 + 6x
Step-by-step explanation:
12 + 3(2x - 3) + 4 =
12 + 6x - 9 + 4 =
7 + 6x
Answer:
f(x) = 12x = 10
Step-by-step explanation:
We need a linear equation in the slope-intercept form.
y = mx + b
where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value
Let's look in the table.
1 hour: $22
2 hours: $34
The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.
The difference in time between 1 hour and 2 hours is 1 hour.
In 1 hour he earns $12. That means the slope is 12.
We know he earns $22 for working a total of 1 hour.
Start at 1 hour and $22 on the table.
Subtract 1 hour from 1 hour to get 0 hours.
Subtract $12 form $22 to get $10.
That means for 0 hours he gets $10. b = 10
The equation is
y = 12x + 10
In function form, we have:
f(x) = 12x = 10
