Answer: 
Step-by-step explanation:
We know that probability for any event = 
Given : Charlotte has 6 cherry candies, 3 grape candies, and 3 lime candies.
I..e Total pieces of candies she has = 6+3+3= 12
Now , If Charlotte randomly pulls one piece of candy out of the bag, what is the probability that it will be cherry is given by :-

Hence, the probability that it will be cherry is
.
Y=mx+b ....formula of slope
m refers to slope and b is intercept,,,so this become equation of y.
now answer,
y=5/8x+b
Answer:
A bit of a doosy, but bare with me: f*g*h(x) = 
Step-by-step explanation:
So explaining this is a bit awkward as well, but I can try...So
Starting from g(x) working that backwards into f(x), so...
g(x) = 
f(x) = 
Take your g(x) and plug it into your f(x) into every x you see
f(g(x)) =
~ I hope you can visualize this, but do you see how g(x) plugs into f(x)...
Now you still have one more step which you still need to include h(x), so
Remember h(x) = 
Now plug in your h(x) into every x you see from f(g(x)) and it should look like...

Answer:
Step-by-step explanation:
|4x-3|=5√(x+4) ⇔ |4x-3|²=5²(√(x+4))² and x+4 ≥ 0
⇔ (4x-3)² = 25(x+4) and x+4 ≥ 0 ( because : /a/² = a²)
⇔16x²-24x+9 = 25x +100 and x+4 ≥ 0
⇔ 16x² -49x - 91 =0 and x+4 ≥ 0 quadratic equation
Δ = (-49)²-4(16)(-91) = 8225
two solution : X1 = (49-√8225)/32 ≅ - 1.3 accept (-1.3+4 ≥ 0)
X2 = (49+√8225)/32 ≅4.37 accept (4.37+4 ≥ 0)
Answer:
x=0,-2
Step-by-step explanation:
Solve the solution by equaling them to each other and solve for x.
x^2+5x+6=3x+6
x^2+5x-3x+6-6=0
x^2+2x=0 (factor out one x)
x(x+2)=0
x has two solutions since there are two options of solving.
1. x=0/(x+2)
x=0
2. x+2=0/x
x+2=0
x=-2