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lana [24]
3 years ago
12

What value for x makes the equation true?

Mathematics
1 answer:
fgiga [73]3 years ago
8 0

Since we already have 3^7 you should know that 3 times 3 is 9. Here is how I would simplify it.

3^7 times 3^4 times 3^3

You should add all the exponents and get

3^14

27 is basically 3 times 3 times 3 which is why I chose to put 27 that way

You might be interested in
Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4
Alik [6]

Answer:

\alpha=3

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

(x-h)^2+(y-k)^2=r^2

We are given the equation of a circle as

3x^2+3y^2-6\alpha x+12y-3\alpha=0

Note we have corrected it by adding the square to the y. Simplify by 3

x^2+y^2-2\alpha x+4y-\alpha=0

Complete squares and rearrange:

x^2-2\alpha x+y^2+4y=\alpha

x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4

(x-\alpha)^2+(y+2)^2=r^2

We can see that, if r=4, then

\alpha+\alpha^2+4=16

Or, equivalently

\alpha^2+\alpha-12=0

There are two solutions for \alpha:

\alpha=-4,\ \alpha=3

Keeping the positive solution, as required:

\boxed{\alpha=3}

8 0
3 years ago
Plssss help thankyou
natta225 [31]

Answer:

2nd answer choice No, 6/2 does not equal 2/24 :)

Step-by-step explanation:

6/2=3 while 24/10=2.4

Another way you could think about it:

6*2=12

2+2=4

6*3=18

4+2=6

6*4=24

6+2=8

So 24 ounces of the shake would only be 8 grams of protein.

5 0
3 years ago
A truck is carrying cranberry juice, grape juice, and pineapple juice bottles in a ratio of
satela [25.4K]

Answer:

140

Step-by-step explanation:

7- Cranberry

2:Grape = 40 so 40/2 = 1

3:Pineapple

1= 20 juices

7+2+3 is 12

20 x 12 is 140

8 0
2 years ago
Read 2 more answers
Helena has taken out a $9,300 unsubsidized Stafford loan to pay for her college education. She plans to graduate in four years.
kherson [118]
The effective annual interest rate is:
i = (1 + 0.064/12)^12 - 1 = 0.066
In year 1: the interest is $613.80 (multiple $9300 by 0.066)
In year 2: the interest is $654.31 (add interest from year 1 to $9300 and multiply by 0.066)
In year 3: the interest is $656.98 (do the same as year 2)
In year 4: the interest is $657.16

The total interest is: $2582.25
The present worth of this amount is:
P = 2582.23 / (1 + 0.066)^4 = $1999.72

The answer is $1999.72.
8 0
3 years ago
Read 2 more answers
The equation of a line is y = 2x + 1 1. Copy and complete the table belo 1 2 (x, y) Plot the points on graph paper and draw the
lana [24]
2(-2)+1 = -3
2(-1)+1 = -2
2(0)+1 = 1
2(1)+1 = 3
2(2)+1 = 5

Plot points on graph then draw line
5 0
3 years ago
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