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zysi [14]
3 years ago
7

How to solve the system of equations algebraically over a set of real numbers

Mathematics
1 answer:
navik [9.2K]3 years ago
3 0
<span>Solve the following equation in the real number system. Please show all of your work.
example: 
x³-6x²-10x+12=0
...
f(x)=x³-6x²-10x+12
A graphing calculator will show that there is one zero at x=-2
Divide f(x) by (x+2) by long division or synthetic division
(x³-6x²-10x+12)/(x+2)=x^2-8x+6

solve for other two zeros
x^2-8x+6=0
complete the square
(x^2-8x+16)+6-16=0
(x-4)^2=10
x-4=±√10
x=4±√10=7.16 and -.84
ans:
x=-2, -.84 and 7.16</span>
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What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 perce
bija089 [108]

Answer:

Total amount that Matthew's bank will receive is $10099.81.

Step-by-step explanation:

We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.

The formula for compound interest is:

A=P(1+r)^n

Where A = future value

P= Principal Amount

r = interest rate

and n= time

So in the question we are given:

P= $8000

r = 6% or 0.06

t = 4 (since 4 yeras compounded annually)

A= 8000*(1+0.06)^4

A= 8000*(1.06)^4

A= 10099.81

So, total amount that Matthew's bank will receive is $10099.81.

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3 years ago
A circle has a center at A (4,5), Determine the radius of the circle given two end points of the circle are B (9,5) and C (-1,5)
Anna71 [15]

ANSWER :

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4 0
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50 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP
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Answer:

<em>4a ) Difference ⇒ $ 63.24,</em>

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Step-by-step explanation:

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x = 4 children

<em>Solution; 4 children</em>

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