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vredina [299]
3 years ago
13

SOLVE 6^3^-X=6^2 FOR X A.X=-6B.X=1C.X=-1D.X=9​

Mathematics
1 answer:
Murrr4er [49]3 years ago
6 0
<h3>Answer: Choice B) x = 1</h3>

================================================

Explanation:

The problem should read 6^(3-x) = 6^2. The 3-x must be in parenthesis to indicate that all of "3-x" is in the exponent and not just the 3.

Because both bases are 6, and because both sides are equal, this means that the exponents must be equal as well. Therefore 3-x = 2. Let's solve for x

3-x = 2

3-x+x = 2+x .... adding x to both sides

3 = 2+x

2+x = 3 ..... flipping both sides

x+2 = 3

x+2-2 = 3-2 .... subtracting 2 from both sides

<h3>x = 1</h3>

You can use logarithms to solve this problem, but the fact that the bases are both the same allows us to use this faster shortcut.

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Which is the best estimate to the nearest one percent of startfraction 7 over 15 endfraction?
ipn [44]

The best estimate to the nearest one percent of the fraction; 7/15 is; 47%.

<h3>What is the best estimate of the fraction to the nearest percent?</h3>

From the task content, it follows that the fraction given whose estimate is to be determined is; 7/15.

The fraction expressed as a percentage is;

(7/15) × 100 %

= 46.667%.

Hence, when rounded to the nearest one percent; = 47%.

Read more on percentage;

brainly.com/question/843074

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4 0
2 years ago
Evaluate the expression 3x^2+4x^3 when x=4.
larisa [96]

Step-by-step explanation:

304

plug 4 in for x

3(4)^2 + 4(4)^3 = 304

48 + 256 = 304

6 0
3 years ago
There are 23 colored pencils in each box.
babymother [125]

23x36=828

This should be your answer

7 0
3 years ago
Read 2 more answers
Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)).
just olya [345]
Mathematical Work:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=(2^2-6(2)-7)+8
f(g(2))=(4-12-7)+8
f(g(2))=-7
Explanation:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=?
2 was given as the x for function g and when you substitute 2 into function g's equation(g(2)=(2^2-6(2)-7)=-15, you would get -15. The answer to function g would be the x for function f. Which would be f(-15)=-15+8 and the answer for f(g(2)) is -7.
3 0
3 years ago
Read 2 more answers
Ten less than five times a number is less than six times the number decreased by eight
Luden [163]

10 - 5x < 6x - 8

We can treat this inequality like a normal algebraic equation.

<em><u>Add 5x to both sides</u></em>

10 < 11x - 8

<em><u>Add 8 to both sides</u></em>

18 < 11x

<em><u>Divide both sides by 11</u></em>

1.64 < x

X is greater than the value 1.64.

Let's plug the number 2 into each value of x to verify.

10 - 5x < 6x - 8

10 - 5*2) < (6 * 2) - 8

10 - 10 < 12 - 8

0 < 4

It's correct.

Now let's plug 1, which is less than 1.64.

10 - 5x < 6x - 8

10 - 5 < 6 - 8

5 < -2

This is not correct, which means that our answer was correct.

4 0
4 years ago
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