Answer:
DF= 33
Step-by-step explanation:
The ratio is equal to 6:5:1 Which can be changed into 18:15:3
Since DE=18 and EF=15 you simply add and = 33
Hi
f(x) = g(x) if -x²+3x-2 - ( -x+1) = 0
-x² +3x-2 +x-1 = 0
-x² +4x -3 = 0
To solve, tou have to use the general method of resolution of a quadratic fonction.
To determine if it's has a solution in R, let's calculate Δ
Δ = (4)² - 4 * (1) *(-3)
Δ = 16 +12
Δ= 28
as Δ≥ 0 so the function allow two solution within R
so S 1 = ( -4 +√28) / 2 S 2 = (-4 -√28 ) /2
S1 = ( -4 + 2√7) /2 S2 = (-4 - 2√7) /2
S1 = (2 (-2 +√7) /2 S2 2 (-2 -√7) /2
S1 = -2 +√7 S2 = -2 -√7
So the two function are equal twice. one for x = -2 +√7 and second x = -2-√7
Answer:
It would take 10 weeks for her cat to lose 5 pounds.
Step-by-step explanation:
Find the vertex:

Determine if the parabola will open up or down:

Since the value of a is positive, the parabola will open upwards
Find the x and y intercepts:
Factor
to find the x intercepts
(x+8)(x+2)
x + 8 = 0
x = -8
x + 2 = 0
x = -2
x intercepts:
x = -2
x = -8
Find the y intercept

Hence, C. Graph A best represents the quadratic function 
Your answer is x = 7b/4m + y/4m