Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
7x+1y = 17.00 can be simplified to y = -7x +17
<span>-7x +17 can then be substituted for y in 3x+ 4y =17.50
</span>3x+4(y) = 17.50
3x+ 4(-7x +17) = 17.50
From here you can solve for X
<span>3x + 4(-7x +17) = 17.50
</span>3x -28x + 68 = 17.50
-25x + 68 = 17.50
-68 -68
-25x = -50.50
÷-25 ÷-25
X = 2.02
You can then replace x with 2.02 in the original 7x + 1y = 17.00 to solve for y.
7(x) + 1y = 17.00
7(2.02) + y = 17.00
14.14 + y = 17.00
-14.14 -14.14
y = 2.86
Then substitute 2.02 for x and 2.86 for y in the original 3x+ 4y = 17.50 to check.
3(x) + 4(y) = 17.50
3(2.02) + 4(2.86) = 17.50
6.06 + 11.44 = 17.50
17.50 = 17.50
So
X = 2.02
and
Y = 2.86
or the solution set is (2.02, 2.86)
Hope this helps
Here's the equation for one year:
0.06(6500) + 6500
But because it is 25 years:
25(0.06(6500)) + 6500
1.5(6500) + 6500
We can make it simpler:
2.5(6500)
The total amount is $16350
Answer:
(-12, -20).
Step-by-step explanation:
A dilation of factor 4 moves (-3, 5) to (-3*4, 5*4) = the point (-12, 20).
A reflection over the x-axis is (x, y) ------> ( x, -y).
So ( -12, 20) goes to (-12, -20).
