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3 years ago

If 2 with a exponent of 6x =1 what is the value of X

Mathematics

2 answers:

sdas [7]3 years ago

5 0

The only exponent you can give to 2 to obtain 1 is zero:

$2^z=1 \iff z=0$

In fact, we have

$2^z=1 \iff z = \log_2(1)=0$

So, in this case, we have

$2^{6x} = 1 \iff 6x = \log_2(1) \iff 6x=0\iff x=0$

Lerok [7]3 years ago

3 0

the answer is

$x = 0.16$

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JulijaS [17]

The speed intervals such that the mileage of the vehicle described is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h]

<h3>How to determine the range of speed associate to desired gas mileages</h3>

In this question we have a quadratic function of the gas mileage (g), in miles per gallon, in terms of the vehicle speed (v), in miles per hour. Based on the information given in the statement we must solve for v the following quadratic function:

g = 10 + 0.7 · v - 0.01 · v² (1)

An effective approach consists in using a graphing tool, in which a horizontal line (g = 20) is applied on the maximum desired mileage such that we can determine the speed intervals. The speed intervals such that the mileage of the vehicle is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h].

To learn more on quadratic functions: brainly.com/question/5975436

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1 year ago

8 lb 1 oz − 3 lb 6 oz

lbvjy [14]

Answer:

Since you want me to answer 3 lb 1 oz - 1 lb 15 oz instead, the answer is 18 oz

Step-by-step explanation:

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2 years ago

Please help me ASAP

Nonamiya [84]

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3 years ago

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dalvyx [7]

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2 years ago

Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones th

Korvikt [17]

Robbie bought the smallest amount. Let's use x for that amount.
Let's use n for amount that each following customer increases.

We have:
Robbie=x
Cameron=x+n
Louis=x+n+n
Tom=x+n+n+n
Charlie=x+n+n+n+n

We know that they bought total of 60 scones.
Robbie + Cameron + Louis + Tom + Charlie = 60
x + x+n + x+n+n + x+n+n+n + x+n+n+n+n = 60
5x + 10n = 60 /:5
x + 2n = 12

We are also given this information:
(Robbie + Cameron) = 3/7 * (Louis + Tom + Charlie)
We insert the equations from above:
(x + x+n) = 3/7 * (x+n+n + x+n+n+n + x+n+n+n+n)
2x + n = 3/7 * (3x + 9n) /*7
14x + 7n = 3* (3x + 9n)
14x +7n = 9x + 27n
We take everything on the left side.
14x + 7n - 9x - 27n = 0
5x - 20n = 0/:5
x - 4n = 0

Now we have two equations:
x + 2n = 12
x - 4n = 0
We solve second one for x and insert it into first one.
x + 2n = 12
x = 4n

4n + 2n =12
6n = 12 /:6
n = 2
x=4*2
x=8

Now we can solve for the amount for each customer.
Robbie=x = 8
Cameron=x+n = 8 + 2 = 10
Louis=x+n+n = 8 + 2 + 2 = 12
Tom=x+n+n+n = 8 + 2 + 2 + 2 = 14
Charlie=x+n+n+n+n = 8 + 2 + 2 + 2 + 2 = 16

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2 years ago