2x(x-3) - 3x (4x-1)
First I like to change subtraction to addition of the opposite.
2x(x+ -3) + -3x (4x + - 1)
Now distribute
2x^2 + -6x + -12^2 + 3x
Now combine everything
-10x^2 - 3x
Answer:
The slope is 3 and the y-intercept is 8
Step-by-step explanation:
The formula y=mx+b with m being the slope and b being the y-intercept,
The numbers in those places show us that 3 is in the slope spot and 8 is in the y-intercept spot.
Answer:
Option A
Step-by-step explanation:
Given expression:
<u>Option A</u>
⇒ (x - 4)(3x + 2)
⇒ (x × 3x) + (2 × x) + (-4 × 3x) + (-4 × 2)
⇒ (3x²) + (2x) + (-12x) + (-8)
⇒ 3x² + 2x - 12x - 8
⇒ 3x² - 10x - 8
3x² - 10x - 8 = 3x² - 10x - 8 (Yes!)
<u>Option B</u>
⇒ (3x - 4)(x - 2)
⇒ (3x × x) + (3x × -2) + (-4 × x) + (-4 × -2)
⇒ (3x²) + (-6x) + (-4x) + (8)
⇒ 3x² - 6x - 4x + (8)
⇒ 3x² - 10x + 8
3x² - 10x - 8 = 3x² - 10x + 8 (No!)
<u>Option C</u>
⇒ (3x - 4)(x + 2)
⇒ (3x × x) + (3x × 2) + (-4 × x) + (-4 × 2)
⇒ (3x²) + (6x) + (-4x) + (-8)
⇒ 3x² + 6x - 4x - 8
⇒ 3x² + 2x - 8
3x² - 10x - 8 = 3x² + 2x - 8 (No!)
<u>Option D</u>
⇒ (3x - 2)(x - 4)
⇒ (3x × x) + (3x × -4) + (-2 × x) + (-2 × -4)
⇒ (3x²) + (-12x) + (-2x) + (8)
⇒ 3x² - 12x - 2x + 8
⇒ 3x² - 14x + 8
3x² - 10x - 8 = 3x² - 14x + 8 (No!)
Since the expression of option A has the same value as the given expression, option A is correct.
Answer:
C. 19.2 is the mean for this probability distribution.
Step-by-step explanation:
The mean for a probability distribution is ∑ P(x).x
Here, x∈{10, 20, 30, 40, 50}
P(10) × 10= 5.34
P(20) × 20=3.86
P(30) × 30=4.2
P(40) × 40=3.4
P(50) × 50=2.4
∑=5.34+3.86+4.2+3.4+2.4= 19.2
Therefore, the mean of this probability distribution is 19.2.
