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3 years ago

PLEASE HELP I NEED THE ANSWER

1 answer:

andrey2020 [161]3 years ago

7 0

At three weeks both will have 17 the equation for jessie is (8+3x) the equation for riley is (23-2x). x is the amount of weeks. to find the answer yourself, take both equations and make them equal. ex. 8+3x=23-2x.

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What Is the perfect square of 9x-1

Maksim231197 [3]

(9x - 1)² = <em>81x² - 18x + 1</em>

6 0

3 years ago

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Sel

dolphi86 [110]

Answer:

That would be :

4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)

PROOF: y + 5x = x² + 10

(4x - 10) + 5x = x² + 10

4x - 10 = x² -5x + 10

0 = x2 – 9x + 20 (liked terms are grouped and simplified)

PROOF: 4x - 10 = x² -5x + 10

4x = x² -5x + 10 + 10

0 = x² -5x -4x + 20

0 = x² - 9x + 20

Solving:

x² - 9x + 20 = 0

x² - 5x - 4x + 20 = 0

(x - 5) (x - 4) = 0

⇒ x = 4 (as question says) OR x = 5

Step-by-step explanation:

hope this helps

8 0

3 years ago

Read 2 more answers

Which expression represents the number of circular permutations of n things?

morpeh [17]

If these permutations were in a line, then the equation would be n!. But since we are dealing with a circle, it's a little bit different, given that there is no specific beginning or end. This means that <span>you could rotate the circle around n different ways and still have the same circular permutation. Thus, this would be the expression you are looking for:

n!/n, which can be simplified as (n-1)!
The correct answer is the second option.</span>

6 0

4 years ago

The distance between Cincinnati Ohio from Charlotte North Carolina is about 336 miles the distance between Cincinnati and Chicag

e-lub [12.9K]

Im pretty sure you just add both numbers.

5 0

4 years ago

The population of a certain country in 1997 was 288 million people. In addition, the population of the country was growing at a

Crazy boy [7]

Answer:

a) In the year 1998 with 3 days, 2 hours, 44 minutes and 18.1006141 seconds

b) In the year 1998 with 19 days, 18 hours, 5 minutes and 35.10875472 seconds

Step-by-step explanation:

a) To know the time when the population will be 305 million people, we need to isolate the variable t in the equation, $P(t)=288(1.009)^{t-1997}$

So we isolate t with the property of logarithms that allow us go down the exponent, applying in both sides of the equation

For this subsection the value of P is equal to 305 million people

$Ln(305)=Ln[(288)(1.009)]^{t-1997}$

$Ln(305)=(t-1997)*Ln[(288)(1.009)]$

Now, we can isolate the value of t

$\frac{Ln(305)}{Ln[(288)(1.009)]} =t-1997$

$\frac{Ln(305)}{Ln[(288)(1.009)]}-1997 =t$

$t=1998.008531776402$

So to know the exact date we multiply the number after the point, that is 0.008531776402 for the number of days that have 1 year, equal to 365 days

0.008531776402*365= 3.114098387 days

then the number after the point, that is 0.114098387 will be multiply for the number of hours that have 1 day

0.114098387*24= 2.738361282 hours

then the number after the point, that is 0.738361282 will be multiply for the number of minutes that have 1 hour

0.738361282*60= 44.3016769 minutes

Finally, the number after the point, that is 0.3016769 will be multiply for the number of seconds that have 1 minute

0.3016769*60= 18.1006141 seconds

And we obtain that the time, when the population of the country is 305 million people, is in the year 1998 with 3 days, 2 hours, 44 minutes and 25.152 seconds

b) For calculate the time when the population is 395 million people, we do the same process we did in the subsection a)

$Ln(395)=Ln[(288)(1.009)]^{t-1997}$

$Ln(395)=(t-1997)*Ln[(288)(1.009)]$

Now, we can isolate the value of t

$\frac{Ln(395)}{Ln[(288)(1.009)]} =t-1997$

$\frac{Ln(395)}{Ln[(288)(1.009)]}-1997 =t$

$t=1998.05412021527$

0.05412021527*365= 19.75387857 days

0.75387857 *24= 18.09308577 hours

0.09308577*60= 5.585145912 minutes

0.585145912*60= 35.10875472 seconds

And we obtain that the time, when the population of the country is 395 million people, is in the year 1998 with 19 days, 18 hours, 5 minutes and 35.10875472 seconds

8 0

3 years ago