Answer:
a. (3x² - 2x - 5) units²
b. (x² - x) units²
c. (2x² - x - 5) units²
Step-by-step explanation:
a. Area of the frame = L*W
L = (x + 1) units
W = (3x - 5) units
Area of the frame = (x + 1)(3x - 5)
Apply distributive property
x(3x - 5) +1(3x - 5)
3x² - 5x + 3x - 5
Area of the frame = (3x² - 2x - 5) units²
b. Area of the picture = L*W
L = x units
W = (x - 1) units
Area of the picture = x(x - 1)
Apply distributive property
= x² - x
Area of picture = (x² - x) units²
c. Area of the frame that surrounds the picture = area of frame - area of picture
= (3x² - 2x - 5) - (x² - x)
= 3x² - 2x - 5 - x² + x (distributive property)
Add like terms
= 3x² - x² - 2x + x - 5
= 2x² - x - 5
Area of the frame that surrounds the picture = (2x² - x - 5) units²
Answer:
the quotient is $18.36
Step-by-step explanation:
$18,360/1000
$18.36
the quotient of $18,360÷1000 is equal to $18.36
A function assigns the values. A function is a rule that assigns each value of the independent variable to exactly each value of the dependent variable.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The given statement can be completed as given below.
A function is a rule that assigns each value of the independent variable to exactly each value of the dependent variable.
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