f(4)= 4^2 - 1 = 15
g(f(4)) = g(15) = 2(15) = 30
Hope this helps!
12(3-2x) = 84
do distributive multiplication:
12(3) + 12(-2x) = 84
36 - 24x = 84
Deduct 36 to both sides
36 - 36 - 24x = 84 - 36
-24x = 48
divide -24 to both sides
-24x / -24 = 48/-24
x = -2
To check:
12(3-2x) = 84
12(3-2(-2) = 84
12(3+4) = 84
12(7) = 84
84 = 84
i think the graph g(x) has been shrunk vertically by a factor of 1/5 and shifted up by 4 units :)
Answer:
False
Step-by-step explanation:
given that a race car driver tested his car for time from 0 to 60 mph, and in 20 tests obtained an average of 4.85 seconds with a standard deviation of 1.47 seconds.
Sample size n = 20
since population standard deviation is not known, we can use t critical value for finding out the confidence interval
df=19
t critical = 2.045
Margin of error = 
conidence interval = Mean±Margin of error
= 
The given confidence interval is (4.52, 5.18)
Hence the statement is false.
Hi,
The two numbers should be 12 and 30. 12=2x2x3 while 30=2x3x5.
Their HCF is 2x3=6 and their LCM is 2x3x2x5. Because of their HFC, we know that they are both multiple of 6. Also, the question says they both are GREATER than 6, so they can’t be 6 but are 6 times “something”. Thanks to the LCM, we know that “something” is equal to 2 for the first number and to 5 for the second one, the numbers hence being 12 and 30.
I hope this helps. If I was not clear enough or if you’d like further explanation please let me know. Also, English is not my first language, so I’m sorry for any mistakes.
