Answer:
f(x)=-3x+4
(can't see some of your choices)
Step-by-step explanation:
We want x to be independent means we want to write it so when we plug in numbers we can just choose what we want to plug in for x but y's value will depend on our choosing of x.
So we need to solve for y.
9x+3y=12
Subtract 9x on both sides
3y=-9x+12
Divide both sides by 3:
y=-3x+4
Replace y with f(x).
f(x)=-3x+4
Answer:
Hi,
Step-by-step explanation:
x>=0
y>=0
x+y-5<=0 line passing through (0,5) and (5,0) with (0,0) in minus region
2x-y-8<=0 line passing trough (0,-8) and (4,0) with (0,0) in minus region
Answer C
So find the difference between 1995 and 2022 to make it easier
2022-1995=27
so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100 so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48
Hazel was 48 and Gary was 23 in the year of 1995
Answer:
950, 1121.00, 1322.78, 1,560.88, 1,841.84
Step-by-step explanation:
Calculation to determine the sequences that describes his increasing monthly balance
Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.
First sequence will be the amount he owes on a credit which is $950
Second sequence
950 * .018 = 171.00
950 + 171.00 = 1121.00
Third sequence
1121.00 * .018 = 201.78
1121.00 + 201.78 = 1322.78
Fourth sequence
1322.78*0.18=238.10
1322.78+238.10=1,560.88
Last sequence
1,560.88*0.18=280.96
1,560.88+280.96=1,841.84
Therefore the sequences that describes his increasing monthly balance are:
950, 1121.00, 1322.78, 1,560.88, 1,841.84
Answer: 
Step-by-step explanation:
For this exercise you need to remember the following Trigonometric Identity:
You must observe the figure given in the exercise.
You can notice that the given triangle UVW is a Right triangle (because it has an angle that measures 90 degrees).
So, you can identify in the figure that:
Knowing these values, you can substitute them into :
Now you must evaluate:
Finally, rounding to the nearest hundreth, you get:
