Answer:
Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units
Step-by-step explanation:
Area of a rectangle = Length × Width
Area of the rectangle = 2 × (5x² - 2x + 3)
= 2 × 5x² - 2× 2x + 2×3
= 10x² - 4x + 6 square units
Answer: his lunch will cost him 45 dollar
Step-by-step explanation:
Answer:
y = mx + 5; m < 0
Step-by-step explanation:
The question mentions that the slope of the line is negative and the y-intercept is 5. The general form of the straight line is given by y = mx + c. Since "c" in the equation is the y-intercept, therefore, c = 5. This means that all the straight lines passing from the point (0,5) can be expressed in a general form y = mx + 5. However, the question mentions that the slope is negative and demands the general equation of all the negatively-sloped straight lines passing from (0,5). Therefore, for the condition to be met, m has to be negative. So the correct answer is y = mx + 5, where m is negative.
Answer:
$96,008
Step-by-step explanation:
The verbal description of the relationship translates to ...
(last month's sales) -21.5%×(last month's sales) = $75,366
Simplifying, we have ...
0.785 × (last month's sales) = $75,366
Dividing by the coefficient of the variable, we find ...
(last month's sales) = $75,366/0.785 = $96,007.64
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The sales last month were $96,008.