Answer:
(2, -39)
Step-by-step explanation:
f(x)=-3(x+2)^2+9
f(2)=-3(2+2)^2+9
f(2)=-3(4)^2+9
f(2)=-3(4)(4)+9
f(2)=-3(16)+9
f(2)=-48+9
f(2)=-39
4x=-3y+17 becomes 4x+3y=17
4x+3y=17
3x-4y=-6
alrighty
elimination
muliply first equation by 4 and 2nd by 3 and add them
16x+12y=68
9x-12y=-18
add them
25x+0y=50
25x=50
idivide both sides by 25
x=2
sub back
3x-4y=-6
3(2)-4y=-6
6-4y=-6
-4y=-12
y=3
(x,y)
(2,3)
Answer: Reformatting the input :
Changes made to your input should not affect the solution:
(1): "y3" was replaced by "y^3". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(23x2 • y3) - 5
STEP
2
:
Trying to factor as a Difference of Cubes
2.1 Factoring: 8x2y3-5
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check : 8 is the cube of 2
Check : 5 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
Final result :
8x2y3 - 5
If he starts paying after four years, the worth of the loans by then is b. $31,616.16
<h3>What is a Loan?</h3>
This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.
Hence, we can see that:
The effective monthly interest rate is:
i = 0.053/12 = 0.0044
The effective annual interest rate is:
i = (1 + 0.0044)^12 -1 = 0.0543
The present worth of all the loans is:
P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3
P = $22,671.40
If he pays them prompty, then the total lifetime cost would be
P = 22671.40 (1 + 0.0543)^4 = $31,616.16
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