So exg
if
f(x)=2x
g(x)=3x
then (f o g)(x)=f(g(x))=f(x)=2(3x)
so f o g(2) means in this equation
subsitute 2 for x
(f o g)(2)=f(g(2))=(|1-2|)^2+4(|1-2|)
the x in the f(x) is g(x)so first evaluate g(2)
so
g(2)=|1-2|=|-1|=1
g(2)=1
then
f(1)=1^2+4(1)=1+4=5
the answer is 5
Let's start by noting the total number of steps traveled was 2825, of which 1700 were taken before going to the store, so we must deduct them from the distance traveled to the store.
Answer:
Q 19) x = 4; y = 8.
Q 20) x = 0 ; y = 0.
Q 21) x = -1; y = -5.
Step-by-step explanation:
Q 19)
y = 3x - 4 (Equation 1)
x - 4y = -28 (Equation 2)
Put Equation 2 in Equation 1:
x - 4(3x - 4) = -28.
x - 12x + 16 = -28
-11x = -44.
x = -44/-11.
x = 4.
Put x = 4 in Equation 1:
y = 3(4) - 4.
y = 12 - 4.
y = 8.
Q 20)
2x - 3y = 13x - 4y (Equation 1)
-3x - 2y = 0 (Equation 2).
From Equation 2:
-2y = 3x.
y = -3x/2 (Equation 3).
Put Equation 3 in Equation 1:
2x - 3(-3x/2) = 13x - 4(-3x/2).
2x + 4.5x = 13x + 6x.
12.5x = 0.
x = 0.
Put x = 0 in Equation 3:
y = 0.
Q 21)
y = 4x - 1 (Equation 1).
y = -2x - 7 (Equation 2).
Since y = y, therefore:
4x - 1 = -2x - 7.
6x = -6.
x = -1.
Put x = -1 in Equation 1:
y = 4(-1) - 1.
y = -4 - 1.
y = -5.
In short:
Q 19) x = 4; y = 8!!!
Q 20) x = 0 ; y = 0!!!
Q 21) x = -1; y = -5!!!
Answer:
a.) 10 months
b.) Kool Karate
c.) Karate Klub
Step-by-step explanation:
Karate Klub : y=25x+200
Kool Karate : y=35x+100
A.) First, set the equations equal to each other then solve for x. ![A.) 25x+200=35x+100\\\\](https://tex.z-dn.net/?f=A.%29%2025x%2B200%3D35x%2B100%5C%5C%5C%5C)
take away 100 from both sides
![25x+100=35x](https://tex.z-dn.net/?f=25x%2B100%3D35x)
take away 25x from both sides
![100=10x](https://tex.z-dn.net/?f=100%3D10x)
divide 10 from both sides so x can be by itself and equal to 1
![10=x](https://tex.z-dn.net/?f=10%3Dx)
This means that at 10 months, the cost is the same for both.
B.) Substitute 6 for x in both equations
Karate Klub : ![y=25(6)+200\\y=350](https://tex.z-dn.net/?f=y%3D25%286%29%2B200%5C%5Cy%3D350)
Kool Karate :![y=35(6)+100\\y=310](https://tex.z-dn.net/?f=y%3D35%286%29%2B100%5C%5Cy%3D310)
The cost for Kool Karate is cheaper, so that is what he should join.
C.) Substitute 12 for x in both equations.
x=12 because there are 12 months in a year.
Karate Klub:![y= 25(12)+200\\y=500](https://tex.z-dn.net/?f=y%3D%2025%2812%29%2B200%5C%5Cy%3D500)
Kool Karate:![y=35(12)+100\\y=520](https://tex.z-dn.net/?f=y%3D35%2812%29%2B100%5C%5Cy%3D520)
The cost for Karate Klub is cheaper, so that is what he should join.
Answer:
$3.36
Step-by-step explanation:
1. Divide $0.64 by 4 to get the cost of each sandwich roll, $0.16.
2. Multiply $0.16 by 21, $3.36.