Answer:
A
Step-by-step explanation:
58=58
Correct answer is: (0,7843) and (10,8793)
Solution:-
Given that a junior college has an enrollment of 7843 students in 1990 and 8793 students in year 2000.
We have to write this data as (x,y) .
Where x= years after 1990 and y=number of students enrolled.
Since in 1990, 7843 students enrolled, x = 1990-1990=0
And y=7843.
Hence one ordered pair is (0,7843).
Let us find the years after 1990 for 2000 = 2000-1990 =10
Hence another ordered pair is (10,8793).
Answer:
225 m²
Step-by-step explanation:
If W is the width of the rectangle, and L is the length, then:
60 = 2W + 2L
A = WL
Use the first equation to solve for one of the variables:
30 = W + L
L = 30 − W
Substitute into the second equation:
A = W (30 − W)
A = 30W − W²
This is a parabola, so we can find the vertex using the formula x = -b/(2a).
W = -30 / (2 × -1)
W = 15
Or, we can use calculus:
dA/dW = 30 − 2W
0 = 30 − 2W
W = 15
Solving for L:
L = 30 − W
L = 15
So the maximum area is:
A = WL
A = (15)(15)
A = 225
Answer:
This is the answer,the option C
Step-by-step explanation:
An outside angle of a triangle is equal to the sum of the two opposite inside angles.
Using the information in the picture, 132 is an outside angle and x and (3x-24) are the two opposite inside angles.
Setting up the equation you would have: 132 = x + (3x-24)
Now solve for x:
132 = x + (3x-24)
Simplify:
132 = 4x -24
Add 24 to both sides:
156 = 4x
Divide both sides by 4:
x = 156/4
x = 39
