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Effectus [21]
3 years ago
12

A student is solving the equation 4^x–1 = 64^x+3.

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
6 0
I hope this helps you

Doss [256]3 years ago
4 0
The answer is <span>x - 1 = 3x + 9

All steps are:
</span>Step 1: 4ˣ⁻¹ = 64ˣ⁺³<span> 
Step 2: 4</span>ˣ⁻¹ = (4³)ˣ⁺³ <span>
Step 3: 4</span>ˣ⁻¹ = 4³ˣ⁺⁹ 
Step 4: x - 1 = 3x + 9
Step 5: x - 3x = 1 + 9
Step 6: -2x = 10
Step 7: x = 10/-2
Step 8: x = -5
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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
Rashid [163]

x =  \frac{ -2 \pm \:  \sqrt{ {2}^{2} - 4 \times 1 \times 10 }  }{2}  \\  \\ x =  \frac{ - 2 \pm 6i}{2}  \\  \\  \boxed{ \red{ \huge{x =  - 1 \pm \: 3i}}}

\boxed{ \red{ \huge{answer = d}}}
3 0
3 years ago
A housepainter mixed 2 gallons of blue paint with
maria [59]

Answer:

Option D: 6:12 is correct answer.

Step-by-step explanation:

We can find the simplest form of ratio to compare it with the given ratios.

According to given statement,

The ratio is:

No.\ of\ Blue\ Paint\ Gallons: No.\ of\ red\ paint\ gallons\\2:4\\Simplifying\\1:2

Now we will check if the given options can be simplified to 1:2

So,

Option A:

8:12\\2:3

Option B:

8:24\\1:3

Option C:

3:5

Option D:

6:12\\1:2

As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.

Hence,

Option D: 6:12 is correct answer.

8 0
3 years ago
Determine if the sequence below is arithmetic or geometric and determine the
algol13

9514 1404 393

Answer:

  r = 2

Step-by-step explanation:

The first differences between successive terms are ...

  10 -5 = 5

  20 -10 = 10

The differences are not constant, so the sequence is NOT arithmetic.

__

The ratios of successive terms are ...

  10/5 = 2

  20/10 = 2

The ratios are constant, so the sequence is ...

  geometric with a common ratio of 2.

4 0
2 years ago
1. 2x + 4 = 3(x – 2) + 1
sweet [91]
Please, do not post more than 1 or 2 questions at a time.  Out of courtesy I will address one of your six questions here:

<span>2x + 4 = 3(x – 2) + 1

You are to solve this for x.

1) perform the multiplication:     </span><span>2x + 4 = 3x - 6 + 1
2) combine like terms:                4+6-1 = x
3) solve for x:                              x = 11
4) check:  Is 2(11) + 4 = 3(11-2) + 1 true?
   Is 22+4 = 33-6 true?  NO.  Try again, looking for the mistake:

</span><span>2x + 4 = 3(x – 2) + 1  =>   2x + 4 = 3x - 6 + 1
                                                  4 = x - 5
                                                  9 = x

Check:  Is 2(9) + 4 = 3(9-2) + 1 true?  Is 18+4 = 22 true?  YES.
The solution to #1 is  x = 9  (answer).

Submit your other questions separately, please.

</span>
8 0
3 years ago
webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec
drek231 [11]

Answer:

The answer is \frac{3}{10\pi }  cm/min

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi  D^{2}

Differentiating wrt r we have:

\frac{dA}{dD} =2\pi D

We are told that \frac{dA}{dt}= -6 and we want to find \frac{dD}{dt}

By the chain rule we have:

\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }

∴2\pi D=-\frac{6}{\frac{dD}{dt} }

∴\frac{dD}{dt}=-\frac{6}{2\pi D}

When D=10 then

\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }

The sign (-) shows that the D is decreasing.

3 0
3 years ago
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