Answer:
3(x - 12)(x + 2)
Step-by-step explanation:
Given
3x² - 30x - 72 ← factor out 3 from each term
= 3(x² - 10x - 24) ← factor the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2 , since
- 12 × 2 = - 24 and - 12 + 2 = - 10 , thus
x² - 10x - 24 = (x - 12)(x + 2) and
3x² - 30x - 72 = 3(x - 12)(x + 2)
Answer:
$2,400
Step-by-step explanation:
We get 10% of 4,000 by dividing 4,000 by 10.
4,000 ÷ 10 = 400
To get the amount that 4,000 is subtracted by we multiply 400 by 4.
400 × 4 = 1,600
To get the answer we subtract 4,000 by 1,600.
4,000 - 1,600 = 2,400
Hope I helped!
Answer:
Probability will be 0.5779
Step-by-step explanation:
Number of tablets n = 19
Probability of defect rems that is p = 0.03
Here number of trials is fixed and probability of success = 0.03
Here p = 0.03
So q = 1 - p = 1 -0.03 = 0.97
By using binomial distribution
Probability is given by 
So P(0 or 1) = 
Answer:
Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.
Step-by-step explanation:
✔️Function A:
Initial value = y-intercept (b)
y-intercept is the value of y, when the corresponding value of x = 0
From the table, y = 6 when x = 0.
The y-intercept of function A = 6
Therefore, initial value for Function A = 6
✔️Function B:
y = 4x + 3 is given in the slope-intercept form, y = mx + b.
b = y-intercept = initial value.
Therefore
Initial value for Function B = 3
✔️Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.
A) 1/2
Because this scale factor is smaller than 1, which means it’s making it smaller than the original.
