Answer:
3x(x - 4)(x + 2)
Step-by-step explanation:
Given
3x³ - 6x² - 24x ← factor out common factor of 3x from each term
= 3x(x² - 2x - 8) ← factor the quadratic
Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.
The factors are - 4 and + 2, since
- 4 × 2 = - 8 and - 4 + 2 = - 2, thus
x² - 2x - 8 = (x - 4)(x + 2) and
3x³ - 6x² - 24x = 3x(x - 4)(x + 2)
Answer:
-4
Step-by-step explanation:
The slope of a line given two points is given by
m = (y2-y1)/(x2-x1)
= (-4-8)/(2 - -1)
= (-4-8)/(2+1)
= -12/3
= -4
The area of the rectangle is simply width times length.
Hence, A = w*l = (6/5)*12 = 72/5 = 14.4 square inches (ANSWER)
Answer:
-117
Step-by-step explanation:
x = 106 x 4 - (99+120+103+111+108)
x = 424 - 541
x = -117
Hope that helps!
Answer: There are 6 bricks in the bag.
Step-by-step explanation:
Convert from mixed number to decimal number. To do it, divide the numerator of the fraction by the denominator and add the result to the whole number part. Then:

Convert from fraction to decimal number. To do it you need to divide the numerator by the denominator. Then, you get:

Let be "x" the number of bricks in the bag<em>.</em>
<em> </em>Based on the information given in the exercise, you can set up the following proportion:

Finally, you must solve for "x" in order to find its value. This is:
