combine like terms to simplify each expression. 1: 3/4z(3)+4-1/4z(3). 2: 3.4m+2.4m. 3: 4.2n+5-3.2n. 4: q(5)+q(5)+q(5). 5: 3x+1/4
1 answer:
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Answer:
Step-by-step explanation:
Given
The position of badwater is negated because it is below sea level
The interpretation of the question, is to calculate the distance between the two given points.
This is calculated as:
Open bracket
<em>Hence, the distance between both is 11325ft</em>
Answer:
The equation that matches this situation is y = 8.34x + 25 ⇒ B
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope (rate of change)
- b is the y-intercept (initial value)
The rule of the slope is m = Δy/Δx, where
- Δy is the change of y
- Δx is the change of x
∵ Lisa collects rainwater in a barrel that weighs 25 pounds
∴ The initial value of the weight is 25 pounds
∴ b = 25
∵ When there are 10 gallons of water in the barrel, the total weight
of the barrel and the water is 108.4 pounds
∴ At x = 10, y = 108.4
∵ When there are 20 gallons of water, the total weight is 191.8 pounds
∴ At x = 20, y = 191.8
→ Find Δx and Δy
∵ Δx = 20 - 10 = 10
∵ Δy = 191.8 - 108.4 = 83.4
→ Substitute them in the rule of the slope above
∴ m =
∴ m = 8.34
→ Substitute the values of m and b in the form of the equation above
∵ y = 8.34x + 25
∴ The equation that matches this situation is y = 8.34x + 25