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:
There are 8 numbers.
4 of the numbers are even ( 2, 4, 6, 8)
The probability is the number of even numbers over the total numbers:
4/8 which reduces to 1/2.
The answer is 1/2
To know the mass of the sphere given the density , we first define density as
D = Mass / volume
now we have a value of density but doesn't have volume so we compute for it using the given radius 5.5 cm
V = <span>(4/3)πr^3
so
mass = D (volume)
mass = 11.34 (</span>(4/3)π(5.5)^3 )
mass = 7902.96 g <span>Hope my answer would be a great help for you.
If </span>you have more questions feel free to ask here at Brainly.
<span> </span>
Answer:
f(x) = 1/(x+2) + 7
Step-by-step explanation:
The graph depicts the line of 1/x shifted to the left by 2 and up by 7.:
Answer:
0.578
Step-by-step explanation:
If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
Given that there are 14 orders at the ratio by of:
6 with hot peppers
8 without hot peppers
At most two have hot peppers.
Binomial Problem with n = 3 ; p(hot) = 6/8
P(0<= x <=2) = 1 - P(x = 3)
= 1 - (6/8)^3
= 1 - ( 3/4 )^3
= 1 - ( 27/64 )^3
= 1- (37/64)
= 1 - 0.421875
= 0.578125
= 0.578
