Answer:
5
Step-by-step explanation:
5x+15
So let's take them one after the other
5x=1,5,x
15=1,3,5,15
Since 5 is common to the two,So the greatest common factor will be 5
But we can solve further in case we are asked to factorise
5x+15
5(x+3)
So the answer for factorisation is 5(x+3)
Answer: 7m - 40
Step-by-step explanation:
Monday = m
Tuesday = m + 15
Wednesday = m + 15 + 30 = m + 45
Thursday = 2 × m = 2m
Friday = 2m - 20
The expression will now be:
= m + m + 15 + m + 45 + 2m + 2m - 20
= 7m- 40
When someone says, "a to b" it can be expressed as a fraction.
But typically, you will find a ratio in the form a:b.
So, the answer is 100:5 or 20:1 simplified.
Answer:
A. The finance amount = $ 29,000
B. The total installment price = $ 6960.04
C. The finance charge = $ 35960.04
Step-by-step explanation:
Given as
The cost of a boat $34,000
Down payment = $5000
The finance amount = total cost - down payment
= $34,000 - $5000
= $29,000
Now Arthur finance the rest $29,000 as amount of $998.89 for 36 months
So, the Finance amount = $ 998.89 × 36 = $35960.04
so, the total installment price = $ 35960.04 - $29,000
= $ 6960.04
Answer
Answer:
Step-by-step explanation:
So to solve this we have to consider the piecewise definition of an absolute value function.
|x| =
f(x) = -x if x<0
and
f(x) = x if x ≥ 0
Lets explain this a bit:
At 0 for the absolute value function there is a breaking point. This "breaking point" occurs because we are going between negative and positive values. Meaning that before 0 we have negative numbers and after 0 we have positive numbers. However, we know that absolute value bars mean that the value inside cannot be negative to we have to redefine the function to fit what we want. That is why when x<0 we define our function as -x because whatever negative value we get when x<0 will be multiplied by that negative and then become positive!
So for this question you apply the same "breaking point" thinking.
So we can say that |4x-1| is equal to
f(x) = -(4x-1) when 4x-1<0
and
f(x) = 4x-1 when 4x-1 ≥ 0
We can also solve this inequalities for our breaking point values (where 4x-1 = 0)
So 4x - 1 = 0
4x = 1
x = 1/4
So we could say:
f(x) = -(4x-1) when x < 1/4
and
f(x) = 4x-1 when x ≥ 1/4
Hopefully this makes sense!
