Answer:
x = ±2√5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Multiple Roots
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x² - 5 = 75
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 5 on both sides: 4x² = 80
- [Division Property of Equality] Divide 4 on both sides: x² = 20
- [Equality Property] Square root both sides: x = ±2√5
Answer:
The range is from 147 to 153 orders per day
Step-by-step explanation:
orders varies by 2% means that orders can be LOWER THAN THE AVERAGE, or HIGHER THAN THE AVERAGE.
That is, by 2%.
First, we need to find the decimal of 2%, so
2/100 = 0.02
We multiply this with the average number of order, 150, to get the varying amount:
0.02 * 150 = 3
Thus, the range would be:
150 - 3 = 147
150 + 3 = 153
The range is from 147 to 153 orders per day
Answer:
y = 4.125x + 496.25
Step-by-step explanation:
Set the data up as points. Then deal with the points.
Givens
(30,620)
(70,785)
y2 = 785
y1 = 620
x2 = 70
x1 = 30
Formula
Slope = (y2 - y1) / (x2 - x1)
Solution
Slope = (785 - 620)/(70 - 30)
Slope = 165 / 40
Slope = 4.125
===================
Now you need the y intercept. Either one of the two given points will give you that.
y = 620
x = 30
m = 4.125
y = mx + b
620 = 4.125*30 + b
620 = 123.75 + b
620 - 123.75 + b
b = 496.25
parallel lines have the same slope
y = 4x-5 the slope is 4
slope intercept form
y= mx+b
the slope is 4 and the y intercept is 3
y = 4x +3
Answer:
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