Answer:
system of equations are
y=53x + 10, y=55x
Step-by-step explanation:
y=mx+b where x is the number of tickets purchased and y is the total cost.
We need to frame the equation for each option
Option 1: $53 for each ticket plus a shipping fee of $10
1 ticket cost = 53
So x tickets cost = 53x
shipping fee = $10 so b= 10
So equation becomes y=53x + 10
Option 2: $55 for each ticket and free shipping
1 ticket cost = 55
So x tickets cost = 55x
shipping fee =0 so b= 0
So equation becomes y=55x
First, how many pounds are equal to 1 ton? 2000
Then, $0.70 x 2000 pounds
So, the cost to move is $1,400
Yep. It's that simple. :)
Equation :
This parabola is facing downwards and highest point of the parabola is it's vertex.
Highest point is (-2,2)
so the vertex is (-2,2)
The graph is passing through (-1,0)
Equation in vertex form is
Substitute back in Equation
the graph has two x intercepts -1 and -3
that means (x+1) and (x+3) are the factors
multiply factors to get the equation in standard form
-2x^2-8x-6=0
Answer:
Step-by-step explanation:
a=4 b=12
2a+3b=
2*4+3*12=
8+36=
44
a²-b+10=
4²-12+10=
4*4-2=
16-2=
14
(ab)²-(a+b)²=
(4*12)²-(4+12)²=
48²-16²=
(48+16)(48-16)=
64*32=
2048
Answer:
5 5/8 miles per hour
Step-by-step explanation:
Martin can run 3 ¾ miles in 2/3 of an hour. Write a unit rate to describe the situation and explain the context.
We are asked to write the unit rate , this means we are to find out how many miles he can run per hour
Hence,
2/3 hour = 3 3/4 miles
1 hour = x
Cross Multiply
2/3 hour × x = 3 3/4 miles × 1 hour
x = 3 3/4 miles × 1 hour/ 2/3 hour
x = 3 3/4 ÷ 2/3
x = 15/4 ÷ 2/3
x = 15/4 × 3/2
x = 45/8
x = 5 5/8 miles per hour
