Answer: It is a difference of two squares, and it factors to (3x-7)(3x+7)
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Explanation:
We can write the 9x^2 as (3x)^2 since
(3x)^2 = (3x)*(3x) = (3*3)*(x*x) = 9x^2
The 49 can be written as 7^2 because 7^2 = 7*7 = 49.
This means 9x^2 - 49 is the same as (3x)^2 - 7^2. We have a difference of two squares.
The difference of squares factoring rule is
a^2 - b^2 = (a-b)(a+b)
which we have a = 3x and b = 7 in this case
So,
a^2 - b^2 = (a-b)(a+b)
(3x)^2 - 7^2 = (3x-7)(3x+7)
9x^2 - 49 = (3x-7)(3x+7)
Side note: This is the same as (3x+7)(3x-7). We can multiply two numbers in any order.
Answer: if the y-intercept is 5, it's c. -3/4x + 5. Since it's ax+b a = slope b = y intercept
Step-by-step explanation:
Answer:
The answer is D. 59.0
Step-by-step explanation:
6 x 10 = 60.
60 is close to 59.0
Answer:
407,600,105,028
Step-by-step explanation:
Answer:
A. $58.50
B. $80
C. No. The markup was 33 1/3%
Step-by-step explanation:
You are expected to know the relevant relationship is ...
cost + markup = selling price . . . . also called "store price" in this problem
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A. The markup is 30% × $45 = $13.50, so the store price is ...
$45 + 13.50 = $58.50
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B. When the 30% markup is added to the 100% cost, the selling price is 130% of the cost, or 1.30 times the cost. Here you have ...
$104 = 1.30 × cost
$104/1.3 = cost = $80 . . . . . divide by the coefficient of cost
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C. The markup is $100 -75 = $25, so the markup percentage based on cost is ...
$25/$75 × 100% = 33 1/3%
This is not 30%.
Step-by-step explanation: