You replace the x in p(x) by x - 3:-
(p o q)(x) = 2(x - 3) - 4
= 2x - 10 (answer)
Answer: 16 litres
Step-by-step explanation:
A: 1l x km
B: 1l x+5 km
Running 400 km A used 400/x litres
Running 400 km B used 400/(x+5) litres
400/x- 400/(x+5)= 4
400*(x+5)- x*400-4*x*(x+5)=0
400*x+2000-400*x-4*x²-20*x=0
2000-4*x²-20*x=0 difide by 4 both sides of equation
500-x²-5*x=0
Lets solve the equation using discriminant:
D=5²-(-1)*4*500=2025
sqrt(D)=45
x1= (5+45)/(-2)= -25 x2=(5-45)/(-2)=20
x1=-25 x2=20
x1<0 so is not the solution of the problem ( number of litres can't be negative)
So A uses litr per x=20 km and B uses 1 litr per 20+5=25 km
Running 400 km B uses 400/25=16 litres
Answer:
x = 2.4
Step-by-step explanation:
Corresponding sides of the similar triangles are proportional:
x/(x+3) = 8/18
18x = 8(x +3) . . . . . multiply by 18(x+3)
10x = 24 . . . . . . . . subtract 8x
x = 2.4 . . . . . . . . . . divide by 10
Answer:
The amount invested at 7% is $1,400 and the amount invested at 9% is $7,600
Step-by-step explanation:
Let
x ----> amount invested at 7%
(9,000-x) -----> amount invested at 9%
we know that
The interest earned by the amount invested at 7% plus the interest earned by the amount invested at 9% must be equal to $782
so
The linear equation that represent this problem is

solve for x


therefore
The amount invested at 7% is $1,400 and the amount invested at 9% is $7,600
Answer: Effect of outliers on mean median and mode
Outlier An extreme value in a set of data which is much higher or lower than the other numbers. Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.
Step-by-step explanation: