Answer: 14x² - 4x - 17
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
The rectangular back yard measures 5x + 4 by 3x - 2. This means that the area of the rectangular back yard would be
Area = (5x + 4)(3x - 2)
Area = 15x² - 10x + 12x - 8
= 15x² + 2x - 8
The formula for determining the area of a square is expressed as
Area = length²
Length of square patio = x + 3
Area of square patio = (x + 3)(x + 3)
= x² + 3x + 3x + 9
= x² + 6x + 9
The expression for the area of grass that will be left in the back yard after the patio is built is
15x² + 2x - 8 - (x² + 6x + 9)
= 15x² + 2x - 8 - x² - 6x - 9
= 15x² - x² + 2x - 6x - 8 - 9
= 14x² - 4x - 17
Answer:
Each highlighter is $1.30
Step-by-step explanation:
First the formula is 10+4h=15.20. H represents the unknown cost of each highlighters. Solve for h by subtracting 10 on both sides. 4h=15.20 Then divide 4 on both sides to get h by itself. h=1.30 Therefore one highlighter would cost $1.30
Answer:
Step-by-step explanation:
The ratios are all 3 father steps to 5 son steps. Then ...
son-steps = 5/3·father steps
son-steps = 5/3·36 = 60
and
father-steps = 3/5·son-steps
father-steps = 3/5·30 = 18
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As a <em>check</em>, you can realize that the numbers in the first blank, 36:60, are double those in the second blank, 18:30. The first of these, 36:60, is 3 times the row underneath it, 12:20.
Answer:
x • (3x + 1) • (x + 2) • (2x - 3)
Step-by-step explanation:
Answer:
One tip: Do the top first
Step-by-step explanation:
