The z is 5
−2⋅<em>z</em>=−8+18
-
2
⋅
z
=
-
8
+
18
Simplify :
−2⋅<em>z</em>=10
-
2
⋅
z
=
10
Dividing by the variable coefficient :
<em>z</em>=−
10
2
z
=
-
10
2
Simplify :
<em>z</em>=−5
z
=
-
5
The solution of equation
2⋅<em>z</em>−18−4⋅<em>z</em>=−8
2
⋅
z
-
18
-
4
⋅
z
=
-
8
is
[−5]
Answer:
Step-by-step explanation:
120 x .6 =72
120-72 = 48
48x .6 = 28.8
72+28.8 = 100.8
She sold approximately 101 cups of coffee
Answer:
x ≤ 7
Step-by-step explanation:
1. add 4 to both sides x-4+4 ≤ 3+4
2. simplify x ≤ 7
1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.
Answer:
It should be 1300..........