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Rainbow [258]
3 years ago
14

Solve for x. Show all work. (10 points) 4(2x + 1) - 3= -3(x – 4

Mathematics
1 answer:
Ann [662]3 years ago
6 0
Hello there!

4(2x + 1) - 3 = -3(x - 4)

We need to distribute both sides

(4)(2x) + (4)(1) - 3 = (-3)(x) + (-3)(-4)

8x + 4 - 3 = -3x + 12

8x + 1 = -3x + 12

Now subtract 1 from both sides

8x + 1 - 1 = -3x + 12 - 1

8x = -3x + 11

Add 3x to both sides

8x + 3x = -3x + 11 - 3x

11x = 11

x = 11/11

x = 1


I hope this helps~!


Good luck with your career!
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Each morning a deli worker has to make several pies and a bucket of potatoes. On Monday, it took the worker 2 hours to make the
Gala2k [10]

The quantities include hours and minutes.

The the known and unknown quantities can be used to write an equation and this gives 60 minutes.

<h3>How to explain the information?</h3>

It should be noted that there are two different units of time measurement and these are hours and minutes. In this case, once can either convert the hours given to minutes or vice versa.

Therefore,

2 hours = 120 minutes, and

2.5 hours = 150 minutes.

If x represents the number of potatoes in the bucket, then the time to peel all of the potatoes on the first day will be 1.5x.

The quantity added to the 120 minutes spent making pies is the total elapsed time for the first day's work. The first days time is equal to the second day. This will be:

120 + 1.5x = 150 + x

1.5x - x = 150 - 120

0.5x = 30

x = 30/0.5 = 60

The time taken is 60 minutes.

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6 0
1 year ago
a student showed the steps below while solving the equation 14=log5(2x-3) by graphing. which step did the student make the 1sr e
mixer [17]

Answer:

x= \frac{5^{14}+3}{2}

Step-by-step explanation:

The correct steps to solve the equation are:

14=log_5(2x-5)

5^{14}=5^{log_5(2x-3)}

Because a^{log_am}=m

So, solving we get:

5^{14}=2x-3

Sum 3 on every side:

5^{14}+3=2x-3+3\\5^{14}+3=2x

Dividing by 2 into both sides:

\frac{5^{14}+3}{2}=\frac{2x}{2}\\\frac{5^{14}+3}{2}=x

So, the answer is  x= \frac{5^{14}+3}{2}

7 0
3 years ago
Help!! Which of the following best represents Z1 • Z2 select all that apply
AURORKA [14]

z_1=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)

z_2=\sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

\cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\cos \left(\frac{3\pi }{4}\right)=-\frac{\sqrt{2}}{2}

\sin \left(\frac{3\pi }{4}\right)=\frac{\sqrt{2}}{2}\\

Z_1*Z_2=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)\cdot \sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

=\sqrt{3}\left(\frac{\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)\cdot \sqrt{6}\left(\frac{-\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)

On simplifying, we get

Z_1* Z_2 =-3\sqrt{2}

<h2>Therefore, correct option is  1st option.</h2>
3 0
3 years ago
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