Answer:
(x - 3)² = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
x² = 6x + 1
<u>Step 2: Rewrite</u>
- Subtract 6x on both sides: x² - 6x = 1
- Complete the Square: x² - 6x + 9 = 1 + 9
- Factor: (x - 3)² = 10
Answer: D
Step-by-step explanation:
-7 isn't greater than -4
Answer:
150 miles
Step-by-step explanation:
If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.
Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.
3*2=6
20*6=120
Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.
10*3=30
120+30=150
The actual distance is 150 miles.
Hope this helps!
Answer:
None of the above
Explanation:
To find the type of lines they create, first find the slope of the equations.(Change form to y intercept)
4x-2y=-5
-2y=-4x-5
y=2x+(5/2)
Slope=2
-2x+3y=-3
3y=2x-3
y=(2/3)x-1
Slope=2/3
So, one has slope=2 and the other has slope=2/3. They’re not parallel because slopes are not the same. They’re not perpendicular because the slopes are not opposites. They’re not equal because their equations are not the same. So, none of the above.
Answer:
16 apples.
Step-by-step explanation:


Price of apples, Px=$4
Price of tomatoes, Py=$3
Ratio of their Marginal Utilities



Since Natalie’s income is $320
320 = xPx+yPy

Since x=16, Natalie will consume 16 apples.