We have the following equation:
y = 2 (2.71) ^ x
It is an equation of the form:
y = A (b) ^ x
Where,
A: initial amount
b: growth rate
We have then that the initial amount occurs for x = 0
Substituting:
y = 2 (2.71) ^ 0
y = 2 (1)
y = 2
Answer:
the initial value of and in the equation y = 2 (2.71) ^ x is:
y = 2
For the first line we have a slope of (y2-y1)/(x2-x1)
(2--2)/(1--1)=4/2=2 so we have:
y=2x+b, now solve for b with either of the points, I'll use: (1,2)
2=2(1)+b
b=0 so the first line is:
y=2x
Now the second line:
(1-10)/(4--2)=-9/6=-3/2 so far then we have:
y=-3x/2+b, using point (4,1) we solve for b...
1=-3(4)/2+b
1=-6+b
b=7 so
y=-3x/2+7 or more neatly...
y=(-3x+14)/2
...
The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...
2x=(-3x+14)/2
4x=-3x+14
7x=14
x=2, and using y=2x we see that:
y=2(2)=4, so the solution occurs at the point:
(2,4)
Answer:
Step-by-step explanation:
5x+9y=-3 Multiply both sides by 8
40x+72y=-24
-53x-8y=-3 Multiply both sides by 9
-477x -72y= -27
sum the equations vertically to eliminate one variable
40x+72y= -24
-477x-72y= -27 (the y cancels out )
-477x =-51 (-24 + -27=-51)
-477x=-51 / -477 divide both sides by -477
x =51/437
5x 51/437=9y= -3 substitute the value of x
y= -174 /437
(x,y) = (51/437, -174/437)
Sorry I don’t now the answer to this problem
Answer:
because in each case, the selected column composes one-tenth of the grid in total. The number of blocks is different, but the proportion of space filled is the same.
Step-by-step explanation:
