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Rom4ik [11]
3 years ago
8

Solve for x. 4^6/4^x=4^0

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

Answer:

<em>x </em> =  6

Step-by-step explanation:

<u>Create equivalent expressions in the equation that all have equal bases, then solve for</u>  <em>x</em> .

<em>x</em>  =  6

<em>brainliest pls</em>

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Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x
Maurinko [17]

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

7 0
2 years ago
Help with math please asap <br> 1. Solve the inequality <br> 1/5 + 1/3 X &gt; 1/2 X - 1/4
Finger [1]

Answer:

The solution set is x < 2.7

Step-by-step explanation:

To start, get all of the x terms on the right side and all the constant terms on the left.

1/5 + 1/3x > 1/2x - 1/4

1/5 + 1/4 + 1/3x > 1/2x

1/5 + 1/4 > 1/2x - 1/3x

Now give the terms on each side common denominators.

4/20 + 5/20 > 3/6x - 2/6x

9/20 > 1/6x

Now we can multiply both sides by 6.

27/10 > x

2.7 > x

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3 years ago
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7 0
3 years ago
The cost C (in dollars) for the care and maintenance of a horse and carriage is C=15x+2000 where x is the number of rides.
MissTica

Answer: 100 rides are needed to break even.


Step-by-step explanation:

We have given the cost function

C(x)=15x+2000 where x is the number of rides.

And rides cost 35$

⇒ revenue function would be 35 times x

i.e.R(x)=35 x , where x is the number of rides.

Break even point of a firm occurs when at a certain point x the total cost equals to the total revenue.

i.e. at break even point

total revenue=total cost

⇒35x=15x+2000

⇒35-15x=2000[subtract 15x from both sides]

⇒20x=2000 [simplify]

⇒x=2000/20[dividing both sides with 20]

⇒x=100

∴ 100  rides are needed to break even.

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3 years ago
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His actual height is 48 inches
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