A. x intercepts are where the graph hits the x axis or where f(x)=0
0=2x^2-x-10
solve
hmm
we can use the ac method
multiply 2 and -10 to get -20
what 2 numbers muliply to get -20 and add to get -1 (the coefint of the x term)
-5 and 4
split the midd into that
0=2x^2+4x-5x-10
group
0=(2x^2+4x)+(-5x-10)
factor
0=2x(x+2)-5(x+2)
undistribute
0=(x+2)(2x-5)
set each to 0
0=x+2
0=-2
0=2x-5
5=2x
5/2=x
x intercepts are at x=-2 and 5/2 or the points (-2,0) and (5/2,0)
B. ok, so for f(x)=ax^2+bx+c
if a>0, then the parabola opens up and the vertex is a minimum
if a<0 then the parabola opens down and the vertex is a max
f(x)=2x^2-x-10
2>0
opoens up
vertex is minimum
ok, the vertex
the x value of the vertex in f(x)=ax^2+bx+c= is -b/(2a)
the y value of the vertex is f(-b/(2a)) so
given
f(x)=2x^2-x-10
a=2
b=-1
-b/2a=-(-1)/(2*2)=1/4
f(1/4)=2(1/4)^2-(1/4)-10
f(1/4)=2(1/16)-1/4-10
f(1/4)=1/8-1/4-10
f(1/4)=1/8-2/8-80/8
f(1/4)=-81/8
so the vertex is (1/4,-81/8) or (0.25,-10.125)
C. graph the x intercepts and the vertex
the vertex is min and the graph goes through the x intercepts
Answer:
The answer to your question is 14.5 weeks
Step-by-step explanation:
Data
Total cost = C = $87
money earned = m = $6
Number of weeks to have the money = w = ?
Process
1.- Write an equation that represents the situation
Weeks = Total cost / Money earned
w = C/m
2.- Substitute the values
w = 87 / 6
3.- Result
w = 14.5
4.- Conclusion
Niki will last 14.5 weeks to have enough money to buy a dog bed.
8
Because 16 ounces is a pound half of 16 is 8, 8 ounces is half a pound. :)
Answer:
8m-5
Step-by-step explanation:
Lets write this out in an equation.The plus means addition and the minus means subtraction.
6m+2m-5
Since there is two things with the same variable we can combine them.
8m-5
That is as simple as it gets.
Mean is average so you sum up all 4 numbers and divide by 4. Answer is 27.6725 or rounded 27.67
Have a nice day. Hope this helps.
