Answer:
y=3x+5
Step-by-step explanation:
Point slope equation:
y=mx+b
m-slope, b- is y-intercept
equation given 2 points
y-y1 = m(x-x1)
For point (1,8) and slope m=(y2-y1)/(x2-x1) = 20-8/5-1=12/4=3
y-8 =3(x-1)
arange it in point slope format
y-8=3x-3
y=3x-3+8
y=3x+5
The number in the blanks is 3
Answer:
it's 3/50
Step-by-step explanation:
Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars
We have Lesley's purchase: 4x+2y=13.50
And Landon's: 1x+5y=17.55
We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55
We add this four times to Lesley's purchase to eliminate the x variable.
2y-20y=13.50-70.2
-18y=-56.7
y = $3.15 = Price of box of granola bars
Plug back into Landon's purchase to solve for pretzels.
x+5*3.15=17.55
x+15.75=17.55
x = $1.80 = price of bag of pretzels
Problem 4.
Let w = number of wood bats sold
Let m = number of metal bats sold
From sales information we have: w + m = 23
24w+30m=606
Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.
24*(23-m)+30m=606
552-24m+30m=606
6m=54
m=9 = number of metal bats sold
Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.
Answer:
is a solution
Step-by-step explanation:
Given
Required
Determine if is a solution
becomes
--- this is true
--- this is also true
Hence,
is a solution
