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ale4655 [162]
4 years ago
6

Which of the following represents a function?

Mathematics
1 answer:
Igoryamba4 years ago
5 0
C....to be a function x can only be one value
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3x - 2(2x - 5) = 2(x + 3) - 8
nataly862011 [7]

Answer:

x = 4

Step-by-step explanation:

Hello!

We can solve for x by expanding the parentheses and isolating x.

<h3>Solve for x</h3>
  • 3x - 2(2x - 5) = 2(x + 3)-8
  • 3x - 4x + 10 = 2x + 6 - 8
  • -x + 10 = 2x - 2
  • 10 = 3x - 2
  • 12 = 3x
  • x = 4

The value of x is 4.

3 0
2 years ago
You buy Apple stock for $120 per share over a period of time the stock value increased at a weekly rate of 5% you sell the stock
Rainbow [258]

Answer:

8.31  weeks

Step-by-step explanation:

Given that the cost of one share of Apple stock, C=$120

Rate is the increment of the stock value, R= 5%/week=0.05 / week.

Assuming that after t week, the stock has been sold for $180.

Since the stock value increased at 5% every week, so, the interest is compounded weekly, so

S=C\left(1+R\right)^t \\\\ \Rightarrow 180 = 120\left(1+0.05\right)^t \\\\  \Rightarrow 180 = 120\left(1.05 )^t \\\\

\Rightarrow \frac{180}{120}=1.05^t \\\\\Rightarrow 1.5=1.05^t

\Rightarrow \ln(1.5)=t \ln(1.05) [taking log both sides]

\Rightarrow t=\frac {\ln(1.5)}{\ln(1.05)}=8.31 weeks

Hence, after 8.31  weeks the stock has been sold for $180.

6 0
3 years ago
AABC has vertices at (1,5), (4,8), and (16, 12). A second triangle, ADEF, has vertices at (4, 20), (16, 32), and (64, 48). If th
navik [9.2K]

Answer: the first one

Step-by-step explanation:

(x,y)->(4x, 4y)

5 0
3 years ago
Write an equation to represent the number of pages Jesse has read. Using x, the number of days Amir has been reading, write an e
katrin [286]

Question:

Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?

Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.

Answer:

It will take 6 days

Step-by-step explanation:

For Jesse:

Rate = 30\ pages/day

This implies that Jesse will cover 30y in y days

For Amir:

Rate = 35\ pages/day

This implies that Amir will cover 35x in x days

Because Amir starts a day later,

y = x + 1

So, we have the following equations:

Jesse = 30y

Amir= 35x

y = x + 1

To get the number of days when they read the same number of pages, we have:

Jesse = Amir

Substitute values for Jesse and Amir

30y = 35x

Substitute x + 1 for y

30(x+1) = 35x

Open bracket

30x+30 = 35x

Collect Like Terms

30 = 35x-30x

30 = 5x

Solve for x

\frac{30}{5} = \frac{5x}{5}

\frac{30}{5} = x

6 = x

x = 6

7 0
3 years ago
Sara works 40 hours per week and earns $660. Which graph shows the unit rate for this situation?
coldgirl [10]

Answer: $16.5/hour

Step-by-step explanation:

The unit rate is the relationship between y and x if x = 1

660/40 = 16.5

That means, if x = 1, y = 16.5

Therefore, <u>$16.5/hour</u>

<u></u>

3 0
3 years ago
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