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antiseptic1488 [7]
3 years ago
7

Solve this radical equation for x. Show all steps. x=square root 6x-9

Mathematics
2 answers:
Gre4nikov [31]3 years ago
6 0

x = \sqrt{6x - 9} \\

Square both sides.

x^2 = 6x - 9

Move all terms to one side.

x^2 - 6x + 9 = 0

Simplify using AC method.

x^2 - 6x + 9 = (x - 3)(x - 3)

<h3>x = 3</h3>
baherus [9]3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

First, get rid of the square root by squaring both sides of the equation.

x^2 = √(6x - 9)^2

Simplify.

x^2 = 6x - 9

Move 6x-9 to the other side of the equation and set it equal to zero.

x^2 - 6x + 9 = 0

Factor.

(x - 3)(x - 3) = 0

x = 3


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3. During the past month, 900 trucks were sold. Richie sold four times as many as Dante. How many
Aneli [31]

Answer:

Step-by-step explanation:

let x = how many joe sold

let 4x = how many abe sold

900 = x + 4x

900 = 5x

180 = x

joe sold 180

and abe sold 4x

4(180) = 720

hat means Abe sold 720 trucks

finally, let's check our answer to make sure the total is 900

180 + 720 = 900

our answer is right

7 0
3 years ago
Tyler has $1000 that he wants to put in a savings account. He wants to save the money for 6 years. After 6 years he plans to tak
yKpoI14uk [10]
Tyler's $1,000 investment will be worth $1,240 after 6 years, invested at 4% interest rate.

The problem gives the following relevant data:

Principal = $1000
Interest rate = 4% simple interest
Term or time period = 6 years

Since simple interest is given, we need to use the simple interest formula;

I = P x R x T

where: P is the principal, R is the interest rate, and T is the time the money will be invested.

I = $1000 x 4% x 6yrs
I = $1000 x 0.04 x 6
I = 40 x 6
I = 240  ==> Interest earned after 6 years is $240.

Total Investment = Principal + Interest
T.I. = $1,000 + $240
T.I. = $1,240  ==> the value of Tyler's investment after 6 years.
6 0
3 years ago
Mailboxes Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce. Me. Molina
scZoUnD [109]

Answer:

30 ounces

Step-by-step explanation:

You first have to write out the two equations:

5+0.25x=y

2+0.35x=y

Then simply equal the equations to each other:

5+0.25x=2+0.35x

Subtract the 2 from both sides:

3+0.25x=0.35x

Subtract the 0.25x from both sides:

3=0.10x

Divide the 0.10 on both sides:

30=x

So, 30 ounces is your answer!

You can check by plugging 30 back into the equations to make sure that they are equal to each other.

5+0.25(30)=12.5

2+0.35(30)=12.5

5 0
3 years ago
Can you help me with my work
AveGali [126]
Number one is x=9,-9
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6 0
3 years ago
Read 2 more answers
How many pairs of parallel lines does a square have.
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A square has 2 pairs of parallel lines
7 0
2 years ago
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