Answer:
Step-by-step explanation:
Ok, if they make $36,000 every year, that means the maximum they can spend is $36,000.
If the mortgage is a monthly payment, and there are 12 months in a year, that means we will split the $36,000 over 12 different payments. To do that we will divide the 36,000 by 12
36,000 / 12 = $3,000
That means the most they can spend on mortgage is $3,000 per month.
We have to calculate the total cost of the meal. We know that Adam ( A ) and his dad ( D ) share the cost of the meal in the ratio 2 : 3 and that Adam`s dad pays 52.20 Pounds. So A : D = 2 : 3; A : 52.20 = 2 : 3. Using the cross products, A * 3 = 2 * 52.20; A * 3 = 104.40; A = 104.40 : 3; A = 34.80 Pounds. Finally, A + D = 34.80 + 52.20 = 87.00. Answer: The total cost of the meal is 87 Pounds<span>. </span>
Answer:
see below for the graph
Step-by-step explanation:
The desired graph has two y-intercepts and one x-intercept. It is not the graph of a function.
Here's one way to get there.
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Start with the parent function y = |x| and scale it down so that it has a y-intercept of -1 and x-intercepts at ±1.
Now, it is ...
f(x) = |x| -1
We want to scale this vertically by a factor of -5. this puts the y-intercept at +5 and leaves the x-intercepts at ±1.
Horizontally, we want to scale the function by an expansion factor of 3. The transformed function g(x) will be ...
g(x) = -5f(x/3) = -5(|x/3| -1) = -5/3|x| +5
This function has two x-intercepts at ±3 and one y-intercept at y=5. By swapping the x- and y-variables, we can get an equation for the graph you want:
x = -(5/3)|y| +5
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<em>Comment on this answer</em>
Since there are no requirements on the graph other than it have the listed intercepts, you can draw it free-hand through the intercept points. It need not be describable by an equation.
Answer:
It’s already in expanded form.
Step-by-step explanation:
The original number is 54,025.
Expanded form is when you kind of “take apart” a number. You basically break it apart.
Example: Write 24,382 in expanded form.
Correct way: 20,000 + 4,000 + 300 + 80 + 2
Incorrect way: 2 + 4 + 3 + 8 + 2 (that would equal 19, which is way off from 24,382).
I hope this helps, let me know if you have any questions!
(0,-9) is the y intercept