Answer:
(2x - 1)(2x + 1)(x - 7)
Step-by-step explanation:
We use grouping to factor.
Step 1: Group 1st 2 terms together and factor
4x³ - 28x²
4x²(x - 7)
Step 2: Group last 2 terms together and factor
-x + 7
-1(x - 7)
Step 3: Combine
(4x² - 1)(x - 7)
Step 4: Factor out quadratic
(2x - 1)(2x + 1)(x - 7)
Answer:
10 gallons
Step-by-step explanation:
84 ÷ 6.5 =12.9(The unit rate.)
Seeing as one gallon can get you 12.9 miles;
126÷12.9=9.7
So the answers 9.7 gallons, but if you need to round, then 10 to get a whole number.
Answer:
Step-by-step explanation:
A triangle should have 3 points and 3 sides. Let say that the point is ABC. Then the sides would be AB, AC and BC.
There are 3 strings with a different length that can be put into the sides. Assuming the string can be used once, then the possible way would be:
3!/(1+3-3)!= 3!/1!= 3*2*1= 6 ways
Answer:
1. Positive, 1+2=3
2. Negative, -1-2=-3
Step-by-step explanation:
If you look at both in a graphing perspective, the point (1,2) is in Quadrant I. likewise, adding 2 to the x-coordinate will also result in the point (3,2), also in Quadrant I, where the x coordinate is positive. The point (-1,2) is in Quadrant II, and adding -2 to the x coordinate keeps it in Quadrant II, where the x-coordinate is negative.
