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Len [333]
4 years ago
7

Find the term that must be added to the equation x^2−6x=7 to make it into a perfect square.

Mathematics
1 answer:
Gnom [1K]4 years ago
7 0

Answer:

Step-by-step explanation:

x^2-6x=7 is our equation

x^2-2*3*x= 7

So the term we will be adding is 3^2 since 3 the second term is 2*3*x

x^2-6x+9=7-9

We added 9 and substract it to keep the equation

(x+3)^2 = -2

Wich is impossible since a squared number is always positive

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Isaac purchased a pair of skates at a 15% off sale.
deff fn [24]
Let 
x-------------> <span>original price of the skates

we know that
15% of x is </span><span>$19.50
so
0.15x=19.50---------> x=19.50/0.15-----------> x=$130

the answer is
the </span>original price of the skates was $130<span>

</span>
8 0
4 years ago
Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + -6 x = -13 Complete the square: x2 – 6x + 9 = –13 + 9 Factor t
ICE Princess25 [194]

Answer:

The roots of the polynomial are;

3 + 2i

and 3-2i

Step-by-step explanation:

Here, we want to solve the given polynomial using the completing the square method

We start by dividing through by 8

This will give;

x^2 - 6x = -13

To complete the square, we simply divide the coefficient of x by 2 and square it

We have this as -6/2 = -3

square it;; = (-3)^2 = 9

Add it to both sides

x^2 - 6x + 9 = -13 + 9

x^2 - 6x + 9 = -4

(x-3)^2 = -4

Find the square root of both sides

x-3 = ±2i

x = 3 + 2i

or x = 3-2i

8 0
3 years ago
Read 2 more answers
Find the simple interest paid to the nearest cent for each loan, interest rate, and time. $500, 12%, 18 months
iris [78.8K]

Answer: The interest is $60


Step-by-step explanation:

500*112%=$560

560/18=$31.11

$60 in interest is paid, or an additional $3.33 a month (Bringing the monthly loan payment to a grand total of $31.11)

4 0
3 years ago
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G(x) = 2x + 1<br> 2. g(10) =
nignag [31]
G(10) = 21
You plug in 10 and multiply it with 2, then add 1, which you’ll get 21.
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2 years ago
A car dealership had $114,000 in average monthly sales. If you made 30% of all the sales, what is your total sales?
Brilliant_brown [7]
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