Answer: Answer is in the steps..
Step-by-step explanation:
f(x)= 
- 3x -5
A) To find the x intercepts of a parabola we have to set the whole equation equal zero because the x intercept is when y equal zero in other words where f(x) equal zero.
- 3x - 5 = 0 Now solve using quadratic formula.
x = -b±
x = 3 ± 
x = 3 ± 
/ 2a
x= 3 ± 7 /4
x= -1 or x = 5/2
The x intercepts are (5/2,0) and (-1,0)
B) The graph vertex of the graph of f(x) is going to be at a minimum because the leading coefficient of the function has a positive integer which means the parabola will open up and its vertex will be at the minimum point.
Using the x coordinates we could find their average and find the x coordinate of the vertex.
= 
= 3/4
The x coordinate of the vertex is 3/4 so we will input that into the equation and solve for the y coordinate
= 18/16 - 9/4 -5 = -49/8
The y coordinate of the vertex is -49/8
So the vertex is (3/4, -49/8)
C) First I will graph the vertex and then graph he two x intercepts and connect then like a U shape.
Answer:
Option C 
Step-by-step explanation:
we have
The compound inequality can be divided into two inequality
-----> inequality A
----> inequality B
Solve inequality A
Divide by -3 both sides
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
Rewrite
The solution of the inequality A is the interval (-∞,-3]
Solve the inequality B
Divide by -3 both sides
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
The solution of the inequality B is the interval [-6,∞)
The solution of the compound inequality is
[-6,∞) ∩ (-∞,-3]=(-6,-3]
Answer:
1020 raisins
Step-by-step explanation:
The problem tells you the number of raisins is proportional to the number of bags, so there will be "r" raisins in 12 bags:
r/12 = 680/8 = raisins/bag
r = (12/8)(680) = 1020
There will be 1020 raisins in 12 bags.
Answer: 9 hours
Step-by-step explanation:
10+6= 16-5=11+3=9 hours
F(x) shows number of bees and g(x) shows number of flowers
f(x)=1500*(0.88)^n
g(x)=800-25n
n shows month
B)n=6
1500*(0.88)^6=696
800-25*6=800-150=650
c)it's hard to say because you should find n in this equation
1500*(0.88)^n=800-25n
but it seem n is between 6 and 7
