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natka813 [3]
2 years ago
7

Find the value of x when : 2^30/8^9=2^x

Mathematics
1 answer:
artcher [175]2 years ago
3 0

Answer:

x = -3

Step-by-step explanation:

Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:

2³⁰/(2³)⁹ = 2^x

When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:

(2³)⁹ = 2^3•9 = 2²⁷

Now we have:

2³⁰/2²⁷ = 2^x

When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:

2^(30-27) = 2^x

2^-3 = 2^x

Now you know that x = -3

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Yuliya22 [10]

Answer:

1) 91

Step-by-step explanation:

28 + 63 = 91

3 0
2 years ago
Suppose you have 100 ft of string to rope off a rectangular section for a bake sale at a school Fair. The function A=x^2+50x giv
cupoosta [38]

Answer:

Therefore the width is 25 feet for getting maximum area.

The maximum area of the rectangle is 625 square feet.

Therefore the range is 0≤A≤625.

Step-by-step explanation:

Given function is

A = - x²+50x

We know that ,

If y = ax²+bx+c

For the maximum x=-\frac{b}{2a}

Here a = -1 , b= 50 and c=0

Therefore the width x= -\frac{50}{2.(-1)} = 25

Therefore the width is 25 feet for getting maximum area.

The maximum area =[ -(25)²+50.25] square feet

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The area can not be negative and maximum area is 625 square feet.

Therefore the range is 0≤A≤625.

5 0
3 years ago
Which relationship describes angles 1 and 2? Select each correct answer. A)adjacent angles
Talja [164]
Hey there!

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When two angles are on the same straight line, they are adjacent. 

Adjacent angles 
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Adjacent angles= 180 degrees Supplementary= 180 degrees

They are choices "A" and "B". 

I hope this helps!
~kaikers
6 0
3 years ago
Simplify quantity 1 over 36 minus 1 over x squared all over 1 over 6 plus 1 over x.
Ne4ueva [31]
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</span>remember that<span>: 
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so

[ (x+6)(x-6) / 36x² ] / [ (x + 6) / 6x ] 


[ (x+6)(x-6) / 36x² ] * [ 6x / (x + 6) ] 


6x / 36x² = 1 / 6x 


[ (x+6)(x-6) / 6x ] * [ 1 / (x+6) ] -------------------- > </span>(x - 6) / 6x<span>

The answer is </span>(x - 6) / 6x<span>

</span>
7 0
2 years ago
The table shows the battery life of four different mobile phones.
DanielleElmas [232]
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