Answer:
f(x)= 3|x-3|+1
Step-by-step explanation:
Reason why it's not +3 is because it's the reverse when graphed. But that only applies for the numbers in the brackets. If it's in the brackets and it's positive, you go to the left. If it's negative, then it goes to the right. And as you see, the V isn't on the point (0 , 3), and is in fact, above it, by 1. The graph has also been stretched vertically by 3, it looks like. Hope that was helpful for you!
Section 1:
using this format we can determine what the answer is:
42 105
—— • ——-
100 x
(the spacing may be off but imagine two separate fractions)
first multiply 100 by 105 to get 10,500
then divide by 42 to get 250
this means that sasha’s book has 250 pages
section b:
using the same formula we can solve this problem:
first we need to multiply 250 by 2 to get the total cost of both tickets
175 x
—— • ——
100 500
(again spacing may be off but think of two separate fractions)
then multiply 500 by 175 to get 87,500
then divide by 100 to get 875
to find the profit subtract 875-500
this means he will make $375 profit
conclusion:
sasha’s book has 250 pages
trevor will make $375 profit
this is the method my teacher taught me last year so it should be right, hope this helps and please mark brainliest!!
Answer:
3.6 hours
Step-by-step explanation:
To solve, create a Rate, Time, Work chart:
Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.
The work is 1 job of calling all clients, so their combined work is equal to 1.
x over 6 plus x over 9 equals 1
In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together. With rational equations, the terms can be added together once they have common denominators.
x over 6 plus x over 9 equals 1
fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction
fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54
9 x plus 6 x equals 54
15 x equals 54
x equals 3.6
If Kevin and Anna work together, they can call all the clients in 3.6 hours.
Answer:
2x(7x - 3)(7x +3)
Step-by-step explanation:
Find common factors between the 2 numbers:
98x^3 - 18x
2x(49x^2 - 9)
now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:
2x(7x - 3)(7x +3)