Now completing the square.
(x+5)² = 16 is the rewritten equation... For first question btw.
For the solutions to the equation -
x = -1,-9 is the solution, for the second question.
Answer:
$90
Step-by-step explanation:
8 + 4 = 12
12 x 3 (3 feet for each inch) = 36
36 x 2.50 (cost per square foot) = $90
Answer: B) $47/week
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Explanation:
Because the graph goes through the origin, we can simply divide the y value over the x value. Do so for any point on the diagonal line.
For example, picking (x,y) = (2, 94) leads to k = y/x = 94/2 = 47 being the constant of proportionality and also the amount of savings per week.
You can think of it like this:
2 weeks = $94 in savings
2/2 weeks = $94/2 in savings ... divide both sides by 2
1 week = $47 in savings
leading to the savings rate of $47 per week
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Side note: This linear equation is y = 47x. It is in the form y = kx with k = 47. It is a direct proportion equation. The constant of proportionality is also the slope. All direct proportion equations are linear and go through the origin.
Answer:
9
Step-by-step explanation:
Answer:
9 people
Step-by-step explanation:
Start by writing an equation.
The total bill is 134.03. The bill is totally paid by Marcus and the other guests. This will go on the other side of the equation.
Since we don't know how many guests there were, we can use variable x to represent the value that we're trying to find.
So here is our equation.
134.04 = 20.45 + 12.62x
Now, just solve for x, or isolate x.
Subtract 20.45 from both sides.
134.04 - 20.45 = 12.62x
Divide both sides by 12.62.
113.59/12.62 = x
Simplify.
x = 9
Since x is 9, we know that there were 9 other people at the dinner party.
