Answer:
0,-8
-6,0
Step-by-step explanation:
Answer:
200 muffins
Step-by-step explanation:
The selling price of each muffin = $2
The cost price of each muffin = $1.40
The price of electricity = $120
If the number of muffins that Jenny sells in a day is x, then, Jenny's total cost in a day is:
120 + (1.4 * x) = 120 + 1.4x
and the total sales earnings in a day for x muffins will be:
2 * x = 2x
To break even, the total costs in a day must equal to the total earnings. That is;

Solving this:

She must sell 200 muffins in a day to break even.
<h3>
Answer: False</h3>
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Explanation:
I'm assuming you meant to type out
(y-2)^2 = y^2-6y+4
This equation is not true for all real numbers because the left hand side expands out like so
(y-2)^2
(y-2)(y-2)
x(y-2) .... let x = y-2
xy-2x
y(x)-2(x)
y(y-2)-2(y-2) ... replace x with y-2
y^2-2y-2y+4
y^2-4y+4
So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4
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Another approach is to pick some y value such as y = 2 to find that
(y-2)^2 = y^2-6y+4
(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2
0^2 = 2^2 - 6(2) + 4
0 = 4 - 6(2) + 4
0 = 4 - 12 + 4
0 = -4
We get a false statement. This is one counterexample showing the given equation is not true for all values of y.
Answer: 60
Step-by-step explanation:
Let the side lengths of the rectangular pan be m and n. It follows that (m-2) (n-2)=
So, since haf of the brownie pieces are in the interior. This gives 2 (m-2) (n-2) =mn
mn- 2m - 2n- 4 = 0
Then Adding 8 to both sides and applying, we obtain (m-2) (n-2) =8
Since now, m and n are both positive, we obtain (m,n) = (5,12), (6,8) (up to ordering). By inspection, 5. 12 = 60
which maximizes the number of brownies in total which is the greatest number.
Hope that helped! =)
Answer:
x = 3
Step-by-step explanation:
From the given parallelogram;
m<XWC = m<XYC
Given
m<XWC = 2x+5
m<XYC = 3x+2
Equate
2x+5 = 3x+2
2x - 3x = 2 - 5
-x = -3
x = 3
Hence the value of x is 3