Like terms are terms whose variables are the same. In this case, 7 and 2 have no coefficients therefore are like terms. For example, 7x and 2x would both be like terms because they have the same coefficient which is x.
Answer: (22) $9,075 (23) $656.25 (24) $217.13
<u>Step-by-step explanation:</u>
Cost Function: C(x) = 5.75x + 8,000
C(10,000) = 5.75(10,000) + 8,000
= 57,500 + 8,000
= 65,500
Revenue Function: R(x) = 9.50x
R(7,850) = 9.50(7,850)
= 74,575
Profit Function: P(x) = R(x) - C(x)
= 74,575 - 65,500
= 9,075
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Retail = Unit Cost + Unit Cost × Markup
= $375 + $375 × .75
= $375 + $281.25
= $656.25
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$225 but if paid within 10 days there is a 3.5% discount
Discount = $225 - $225 × .035
= $225 - $7.88
= $217.13
Answer:
M is the slope
Step-by-step explanation:
In the equation y=mx+b the slope is the number “m” that is multiplied by the x and “b” is the y intercept
1) you would need to turn both fractions so they have a common denominator, that would be 2 2/4 and 3/4
2) then subtract : 2 2/4 - 3/4, and you would subtract numerators and the whole number, but you keep the denominator the same. However, you cannot subtract 2 and 3 in this case, so you need to change 2 2/4 to 1 5/4 (they are still equivalent)
3) 1 5/4 - 3/4 = 1 2/4, which simplified version is 1 1/2
Therefore, the answer is 1 and 1/2
Set the to equal:
x^2 - 4x+4 = 2x-4
solve for X
subtract 2x from each side:
x^2 -6x + 4 = -4
subtract 4 from each side:
x^2 -6x = -8
add 8 to both sides:
x^2 -6x +8 = 0
factor the polynomial:
x = 4 and x = 2
using the line equation replace x with 2 and 4 and solve for y
y = 2(2) - 4 = 0
y = 2(4)-4 = 4
so the 2 points the line crosses the curve is (2,0) and (4,4)
using those 2 points you can calculate the length:
distance = sqrt((x2-x1)^2 +(y2-y1)^2
distance = sqrt( (4-2)^2 + (4-0)^2)
distance = sqrt (2^2 + 4^2)
distance = sqrt (4+16)
= sqrt 20
= 2 sqrt(5) EXACT LENGTH
