Answer:
Step-by-step explanation:
(-x + 3) - (4x - 10)
= - x + 3 - 4x + 10 (because when you see the minus sign you have to change all the sign inside the bracket)
= -5x + 13 (this step is just subtract -x and -4x and 10 + 3)
Answer:
The x-intercept is (3,0).
The vertex of the function is (3,0).
Step-by-step explanation:
Given : Function
To find : What are the x-intercept and vertex of this quadratic function?
Solution :
Function
The x-intercept is when g(x)=0.
i.e.
Divide by -5 both side,
Taking root both side,
Add 3 both side,
The x-intercept is (3,0).
The general vertex form of the quadratic function is
where, (h,k) is the vertex
Compare the given function
a=-5 , h=3 and k=0
The vertex of the function is (3,0).
Answer: Shirts are $9 each and hats are $8 each
Step-by-step explanation:
Let S be the price of a Shirt, and H the price of a Hat.
First Week: 4S + 9H = $108
Today: 17S + 21H = $321
We have 2 equations and 2 unknowns (S and H). Rearrange one of the equations to isolate one of the unknowns. I'll rearrange the first for S:
4S + 9H = $108
4S = $108 - 9H
S = ($108 - 9H)/4
S = 27 - 2.25H
Now use this value of S in the second equation:
17S + 21H = $321
17(($27 - 2.25H) + 21H = $321
Solve for H:
459 -38.25H + 21H = $321
-17.25H = - 138
H = $8
Each hat was $8.
Use this value in the first equation to find S:
4S + 9H = $108
4S + 9*($8) = $108
4S + $72 = $108
S = $9
Each shirt was $9.
==
Check to see if the numbers give the correct results:
4*($9) + 9*($8) = $108
17*($9) + 21*($8) = $321
Both yield the correct amounts. Shirts are $9 each and hats are $8 each.
Step-by-step explanation:
The difference is 3/5 is .6 n the square root of 5 is 2.23606797.