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3 years ago

Select the graph of the solution. Click until the correct graph appears. |x| = 3

Mathematics

1 answer:

shtirl [24]3 years ago

4 0

The correct graph is the third one, with the solid dots at -3 and 3.

The bars around x stand for absolute value, which is defined as the distance a number is from 0. We want to know what number or numbers is/are 3 units away from 0 on a number line; the only choices are 3 or -3.

This means we must plot points at -3 and 3. They must be solid points, since these numbers are included in the solution (they are, in fact, the only ones of the solution).

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#23-6: The pool concession stand made $5,800 in June and $6,300 in July. What is the percent of increase in sales? Round the ans

katrin [286]

Answer:

8.6%

Step-by-step explanation:

To find the percent change, you will need to compute the positive difference and then divide the difference by the original (the older amount).

So the positive difference will be obtain by doing larger minus smaller:

6300

- 5800

-----------

500

The older amount was 5800.

So 500/5800 is the answer as a un-reduced fraction.

I'm going to reduce it by dividing top and bottom by 100:

500/5800 = 5/58

5/58 is the answer as a reduced fraction.

5 divided by 58 gives=0.086206897 in the calculator .

Approximately 0.0862 is the answer as a decimal.

To convert this to a percentage, multiply it by a 100:

8.62%

Rounded to the nearest tenths is 8.6%

-------------

So 5800+5800(.0862) should be pretty close to 6300 (not exactly though since we rounded).

5800+5800(.0862)=6299.96 using the calculator.

8 0

3 years ago

In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population

Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

$y=a(1+r)^{t}$

Here,

y = final value

a = initial value

r = growth rate

t = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of r as follows:

$y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145$

Now, compute the time it will take the population to grow to 800 insects as follows:

$800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17$

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0

3 years ago

1- Which relation is a function?

babymother [125]

Answer:

Step-by-step explanation:

1. bottom left

7 0

3 years ago

Arrange the expressions in increasing order of their values.

iren [92.7K]

Answer:

The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.

Step-by-step explanation:

The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.

7 0

3 years ago

A department store is having a 55% off sale on all sport coats. If you have a coupon for an additional 10% off of any item, how

guajiro [1.7K]

Answer:

93.15

Step-by-step explanation:

Multiply 230.00 dollars and 0.55 = 126.50

Subtract 230.00 dollars and 126.50 = 103.50

Multiply 103.50 and 0.10 = 10.35

Subtract 103.50 and 10.35 = 93.15

8 0

3 years ago

Read 2 more answers