Answer: a. This line's slope-intercept equation: y=-9.7x+417.1
b. 31 minutes after the experiment started, there would be <u>116.4</u> grams of gas left.
c. If a linear model continues to be accurate,<u>43 </u>minutes since the experiment started, all gas in the container will be gone.
Step-by-step explanation:
Linear equation: y=mx+c (slope-intercept equation)
, where m= rate of change in y with respect to change in x , c= Initial value.
Let y= Mass of remaining gas after x minutes.
m= -9.7 (given)
At x= 8, y=339.5
Thus,

a. This line's slope-intercept equation: y=-9.7x+417.1
b. At x= 31 minutes
y=-9.7(31)+417.1
⇒ y=-300.7+417.1
⇒ y=116.4
31 minutes after the experiment started, there would be <u>116.4</u> grams of gas left.
c. Put y=0, we get

If a linear model continues to be accurate,<u>43 </u>minutes since the experiment started, all gas in the container will be gone.
x + (x + 2) = 50
Combine like terms.
2x + 2 = 50
Subtract 2 from both sides.
2x = 48
Divide both sides by 2.
x = 24
Now that we have the value of x, we can find the value of the 2nd integer by adding 1 to the value of x.
24 + 1 = 25
<h3>The middle integer is equal to 25.</h3>
Answer:
9/5 (-8) > = F > = 9/5 (157)
Step-by-step explanation:
A. -40>= 5/9F - 32
-40+32>= 5/9F
9/5(-8) >= F
B. 125 <= 5/9F - 32
125+32 <= 5/9F
9/5(157) <= F
9/5 (-8) >= F >= 9/5 (157)
Answer:
f(2) = 32
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² + 2x + 16
f(2) is x = 2
<u>Step 2: Evaluate</u>
- Substitute: f(2) = 3(2)² + 2(2) + 16
- Evaluate: f(2) = 3(4) + 2(2) + 16
- Multiply: f(2) = 12 + 4 + 16
- Add: f(2) = 32
And we have our answer!