Answer:
f(g(x)) = x² - 2x + 1
Step-by-step explanation:
To find f(g(x)), substitute x = g(x) into f(x) , that is
f(g(x))
= f(x - 1)
= (x - 1)² ← expand using FOIL
= x² - 2x + 1
Answer:
Option D. A student who studies 0 hours can expect to score about a 60 on the test
Step-by-step explanation:
we know that
The y-intercept is the value of the y-coordinate when the value of the x-coordinate is equal to zero
In this problem
The x-coordinate represent the hours spent studying
The y-coordinate represent the Test score
so
For x=0, y=60
That means
A student who studies 0 hours can expect to score about a 60 on the test
Correct answer is: distance from D to AB is 6cm
Solution:-
Let us assume E is the altitude drawn from D to AB.
Given that m∠ACB=120° and ABC is isosceles which means
m∠ABC=m∠BAC = 
And AC= BC
Let AC=BC=x
Then from ΔACD , cos(∠ACD) = 
Since DCB is a straight line m∠ACD+m∠ACB =180
m∠ACD = 180-m∠ACB = 60
Hence 

Now let us consider ΔBDE, sin(∠DBE) = 

Answer: 19 months
Step-by-step explanation:
given data:
amount paid initially when joining the club = $50.
monthly payments made = $10.
total amount paid since joining the club = $240.
Solution:
= 10X + 50 = 240
collect like terms
= 10X = 240 – 50
10X = 190
divide both sides by 10
10X/10 = 190/10
X = 19
isabella has been a member of the club for 19 months.
12 pounds
1 bag of grapes = 4 pounds
Martin bought 3 bags so:
4 pounds x 3 = 12 pounds
Hope this helps