Answer:
Step-by-step explanation:
2.
y=kx
8=-4k
k=-2
so y=-2x
3.
4.
eq. of line is y-5=4(x+2)
-1/2 = -3/6
-3/6 + 1/6 = -2/6
-2/6 = -1/3
-1/3 is your answer
hope this helps
Answer:
<h2>absolute maximum = 16</h2><h2>absolute minimum = 1</h2>
Step-by-step explanation:
To get the absolute maximum and minimum values of the function f(x) = 16 + 2x − x² n the given interval [0,5], we need to get the values of f(x) at the end points. The end points are 0 and 5.
at x = 0;
f(0) = 16 + 2(0) − 0²
f(0) = 16
at the other end point i.e at x = 5;
f(5) = 16 + 2(5) − 5²
f(5) = 16 + 10-25
f(5)= 26-25
f(5) = 1
The absolute minimum value is 1 and occurs at x = 5
The absolute maximum value is 16 and occurs at x = 0
<h2>135 cubic feet of concrete are required to create the platform.</h2>
Step-by-step explanation:
The dimension of lower step is 6 ft× 3 ft× 1.5 ft
and the dimension of upper step is 6 ft ×(9-3)ft × (1.5+1.5)ft = 6 ft × 6 ft ×3 ft
Therefore concrete are required to make lower step = (6×3×1.5) cubic feet
= 27 cubic feet
and concrete are required to make upper step = (6×6×3) cubic feet
=108 cubic feet
<h3>∴(108+27) cubic feet =
135 cubic feet of concrete are required.</h3>
