Answer:
C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Converting expressions to word form
Step-by-step explanation:
<u>Step 1: Define</u>
2x - 4 < 4x + 8
<u>Step 2: Translate</u>
"2x" is the product of two and a number <em>x</em>
" - 4" is four less
"<" is less than
"4x" is the product of four and a number <em>x</em>
" + 8" is increased by 8
<u>Step 3: Combine</u>
The difference between the product of two and a number <em>x</em> and 4 is less than the sum of the product of four and a number <em>x</em> and 8.
<u>Step 4: Reword</u>
Four less than the product of two and a number is less than the product of four and the same number increased by eight.
The regression equation for the data given is y= -8.57 -2.31x
Step-by-step explanation:
The first step is to form a table as shown below;
x y xy x² y²
1 4 4 1 16
2 1 2 4 1
3 5 15 9 25
4 10 40 16 100
5 16 80 25 256
6 19 114 36 361
7 15 105 49 225
28 60 360 140 984 ------sum
A linear regression equation is in the form of y=A+Bx
where ;
x=independent variable
y=dependent variable
n=sample size/number of data points
A and B are constants that describe the y-intercept and the slope of the line
Calculating the constants;
A=(∑y)(∑x²) - (∑x)(∑xy) / n(∑x²) - (∑x)²
A=(60)(140) - (28)(360) / 7(140)-(28)²
A=8400 - 10080 /980-784
A= -1680/196
A= - 8.57
B= n(∑xy) - (∑x) (∑y) / n(∑x²) - (∑x)²
B= 7(360)-(28)(60) / 7(60) - (28)²
B=2520 - 1680 /420-784
B=840/-364
B= -2.31
y=A+Bx
y= -8.57 -2.31x
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Regression equation :brainly.com/question/12280902
Keywords : equations, regression line, data
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Using Pythagorean theorem





Answer:
8/7 min = 
Step-by-step explanation:
A rate 2 2/3 = 8/3 min per tank
B rate 2 min per tank
thus:
A rate = 3/8 tank per min
B rate = 1/2 tank per min
A+ B = 3/8 + 4/8 = 7/8 tank per min
7/8 x = 1
x = 8/7 min