If x - 4 ≥ 0, then |x - 4| = x - 4, so
G(x) = F(x) ⇒ 3x + 2 = (x - 4) + 2
⇒ 3x + 2 = x - 2
⇒ 2x = -4
⇒ x = -2
Otherwise, if x - 4 < 0, then |x - 4| = -(x - 4), so
G(x) = F(x) ⇒ 3x + 2 = -(x - 4) + 2
⇒ 3x + 2 = -x + 6
⇒ 4x = 4
⇒ x = 1
However,
• when x = -2, we have
G(-2) = 3(-2) + 2 = -4
F(-2) = |-2 - 4| + 2 = 8
• when x = 1, we have
G(1) = 3(1) + 2 = 5
F(1) = |1 - 4| + 2 = 5
so only x = 1 is a solution to G(x) = F(x).
Answer:
366
Step-by-step explanation:
A garden table and bench cost 816 when combined together
The garden table cost 84 less than the bench
Therefore the price of the bench can be calculated as follows
x + (x+84)= 816
2x+84= 816
2x= 816-84
2x= 732
Divide both sides by 2
x= 732/2
= 366
Hence the price of the bench is 366
Answer:
xy²z³
Step-by-step explanation:
An exponent is a way to indicate the number of times the factor is repeated. When it is 1, it is rarely shown.
x is repeated once, so will appear without an exponent
y is repeated twice, so will have an exponent of 2
z is repeated 3 times, so will have an exponent of 3
__
xyyzzz = xy²z³
_____
In plain text, an exponent is indicated with a caret (^).
xy^2z^3
Shyam travel total 
distance ,when he travelled 
by bus and 
by car .
How to find the total distance travel by Shyam ?
Shyam travelled distance by bus 
Shyam travelled distance by car 
Total distance travelled by shyam is
Total distance= distance travelled by car + distance travelled by bus
Total distance
Learn more about the distance travel is here :
brainly.com/question/28048546
#SPJ4
Answer:
UM I am not sure how you want this but a coin it is 50 50 or 1/2 and with the probability of getting a vowel is 5/26.
Step-by-step explanation:
Pls tell me if I am wrong I have no learned this yet if I am wrong I will edit it to be right.
