Solution
f(x) = -20
+14x + 12 and g(x) = 5x - 6.
(f/g)(x) = 
(f/g)(x) = 
<u>Step 1: </u>Now we have to factorize the numerator.
f(x) = -20x^2 + 14x + 12
Factor out -2, we get
= -2 (10x^2 - 7x - 6)
Now we can factorize 10x^2 - 7x - 6
f(x) = -2(2x + 1) (5x - 6)
<u>Step 2: </u>Plug in the factors
(f/g)(x) = 
<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get
(f/g)(x) = -2(2x +1) = -4x -2
Since -4x -2 is linear expression, the domain is all the real numbers.
Therefore, the answer is –4x – 2; all real numbers
Thank you :)
Answer:
a) 504
b) 56
c) 0.111
Step-by-step explanation:
Data provided in the question:
There are nine golf balls numbered from 1 to 9 in a bag
Three balls are randomly selected without replacement
a) 3-digit numbers that can be formed
= 
n = 9
r = 3
= ⁹P₃
= 
= 9 × 8 × 7
= 504
b) 3-digit numbers start with the digit 1
= _ _ _
in the above 3 blanks first digit is fixed i.e 1
we and we have 8 choices left for the last 2 digits
Thus,
n = 8
r = 2
Therefore,
= 1 × ⁸P₂
= 1 × 
= 1 × 8 × 7
= 56
c) Probability that the 3-digit number formed is less than 200
Now,
The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)
and total 3-digit numbers that can be formed is part a)
therefore,
Probability that the 3-digit number formed is less than 200
= 56 ÷ 504
= 0.111
Step-by-step explanation:
the number would be heading towards the -11 because it's to negatives adding together and it's adding them up but as a negative so it u just had 6+5 it equals 11 but u just put the negative
Answer:
Last one
t = 1.5; it takes 1.5 seconds to reach the maximum height of 36 meters.
Step-by-step explanation:
h(t) = −16t² + 48t
h(t) = -16(t² - 3t)
h(t) = -16(t² - 2(t)(1.5) + 1.5² - 1.5²)
h(t) = -16(t - 1.5)² + 36
Axis of symmetry:
t = 1.5
Max height = 36
