Answer:
y = 3/2 x - 11
Step-by-step explanation:
y = -2/3 x + 5; slope = -2/3
Perpendicular line, slope is reciprocal and opposite so slope of the line that is perpendicular to the y = -2/3 x + 5 is 3/2
Passes through (8,1)
Equation
y -1 = 3/2 (x - 8)
y - 1 = 3/2 x - 12
y = 3/2 x - 11
Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
A) the posible roots of the function f(x)=x⁴-3x³-5x²+21x+22 are:
=-1,+1,-2,+2,-11,+11,-22+22.
b)
one zero of the funtion can be: x=-1 ⇒y=0
(-1,0)c)
other zero of the funtion is: x=-2 ⇒y=0
(-2,0)d)
if x=0 then y=22
(0,22)
e) In the file is the graph.
Answer:
8 maths tests
Step-by-step explanation:
Given data
We are told that in 1/4 hour that is 0.25hour (15 mins) She grades 1 math test
our aim is to find how many maths test she grade in 3 hours (120min)
Hence
in 15 mins she does 1 grading
in 120 mins she does x
cross multiply
15x= 120
divide both sides by 15
x= 120/15
x= 8 maths test
Hence in 2 hours, she can grade 8 maths tests
