Answer:
96 units^2
Step-by-step explanation:
A of parallelogram =base×height
12×8= 96 units^2
The answer will be amount of mass in a certain volume .
The answer is (x + 6)(5x - 1).
5x² + 29x - 6 = 5x² + 30x - x - 6 =
= (5x · x + 5x · 6) - (x + 6) =
= 5x(x + 6) - 1(x + 6) =
= (x + 6)(5x - 1)
Kevin sold 10 pounds of apples and 20 pounds of raspberries.
Step-by-step explanation:
Given,
Cost per pound of apples = $3.50
Cost per pound of raspberries = $4
Total amount earned = $115
Let,
x represent the pounds of apples sold
y represent the pounds of raspberries sold
According to given statement;
3.50x+4y=115 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 11.50
Putting x=10 in Eqn 2
Kevin sold 10 pounds of apples and 20 pounds of raspberries.
Keywords: linear equation, substitution method
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Answer:
Step-by-step explanation:
Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discharging hot water into the river is given by
T(x) = 160-0.05x^2
a. [0, 10]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
The average temperature
= (160 + 155)/2 = 157.5
b. [10, 40]
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (80 + 155)/2 = 117.5
c. [0, 40]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (160 + 80)/2 = 120
