Answer:
2, 1, 0
Step-by-step explanation:
they are less than 3 (Please mark brainliest)
Answer:
R = 40t + 20
Step-by-step explanation:
We need to use the equation y = mx + b to solve this because it's linear.
"m" is the slope, or the rate. Here, we know that the population increases by 40 rabbits per month, which means m = 40.
"b" usually means that fixed, initial amount. Here, we know that the population begins at 20 rabbits, which means b = 20.
Plug these in:
R = mt + b
R = 40t + 20
Answer:
For maximum volume the dimension should be;
w= 1.5ft , b=3ft and h= 2ft
Step-by-step explanation:
The surface area of the rectangular box
S = 2wb + 2wh + 2bh = 27ft^2 ......1
Given that b = 2w
Substituting into eqn 1
2w(2w) + 2wh + 2h(2w) = 27
4w^2 + 2wh + 4hw = 27
h(6w) = 27 - 4w^2
h = (27 - 4w^2)/6w .......2
The volume of a rectangular box is given as
V=w×b×h
V= w×2w×h = 2hw^2 ....3
Substituting eqn2 into eqn3
V=2w^2(27-4w^2)/6w
V = w(27-4w^2)/3 = (27w-4w^3)/3
To find the maximum point, we need to differentiate the eqn above.
At maximum dV/dw = 0
dV/dw = (27 - 12w^2)/3 = 0
12w^2 = 27
w^2 = 9/4
w = 3/2ft = 1.5ft
b = 2w = 6/2 = 3ft
h = (27 - 4w^2)/6w
h = (27 - 4(3/2)^2)/6(3/2)
h = ( 27 - 9)/6 = 18/9
h = 2ft
Considering High School level question, answer can be written as:
A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.
Explanation:
when two lines are drawn on a two-dimensional plane then there are only three possible cases:
Case1: lines will intersect
In that case you will get a unique solution at the intersection point.
Case2: lines are parallel but don't touch each other
In that case there will be no point which lies on both lines so No solution.
Case3: lines are overlapping.
In that case all the points lies on both lines so infinitely many solutions.
The answer to this question is Option C.
As stated in the problem, both programs being Math Master (75% to 87%) and Excel (73% to 81%) increased, therefore, meaning they are both effective as the average test scores increased. However, Math Master had a higher average test score increase compared to Excel, meaning it is even more effective.
Hope this helps :)