Perpendicular: the slope will be -6
Pass the point: Since we know slope is -6, then (-6)*(-3) + ? = 23 -> ? = 5
So answer: y = -6x + 5
Answer:
y=-1x+3
Step-by-step explanation:
2-5/1+2
-3/3
-1
y=-1x+b
2=-1+b
b=3
y=-1x+3
Answer: 1554 apples
Step-by-step explanation: In order to find the distance you have to subtract the biggest number from the smallest number.
4599 - 3045 = 1554 apples
Answer:
Part A) The graph in the attached figure
Part B) see the explanation
Step-by-step explanation:
Part A) Graph the function
we have the quadratic function

This is a vertical parabola open upward
The vertex is a minimum
using a graphing tool
The graph in the attached figure
Part B) What are the values of a, b and c?
we know that
The values of a and b represent the x-intercepts of the quadratic equation
The x-intercepts are
(-2,0) and (6,0)
so

Find the value of c
we know that
The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots
so
The value of c is equal to

substitute the given values

see the attached figure
Answer:
luxury=15
sports cars 25
Step-by-step explanation:
Step one:
let the luxury cars be x
and the sports cars be y
the objective function is
maximize
15000x+16000y=625000------1
the constraints are
1. Man-hours
1600x+1500y=61500-----------2
Step two:
the system of equation for the situation is
15000x+16000y=625000------1
1600x+1500y=61500-----------2
let us reduce both equation
divide equation 1 be 1000
and equation 2 by 100 we have
15x+16y=625--------1 x15
16x+15y=615--------2 x16
225x+240y=9375
-256x+240y=9840
=-31x+0=-465
31x=465
x=465/31
x=15
put x=15 in 15x+16y=625 we have
15(15)+16y=625
225+16y=625
16y=625-225
16y=400
y=400/16
y=25