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Nana76 [90]
3 years ago
7

Part C: Of the following choices, which equation is the best fit line for the data

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Step-by-step explanation:

Part C: Of the following choices, which equation is the best fit line for the data

As we can see from the data, the population size are decreased year by year, so the slope of the line of best fit must be a negative number.

So we have: C and D left.

Let x = 0, year 2005, the population size is 296 around 320, hence, we choose D.

D f(x) = -34x + 320

Part D: What is the predicted population size for the year 2010? How does that compare to the real data? Round to the nearest million.

year 2010, x =5 so let substitute x =5 into  f(x) = -34x + 320

<=> f(x) = -34*5 + 320

= 150 mil

The result is smaller than the real data, (201-150 = 51 mil)

Part E: In what year is the population predicted to go extinct

the population predicted to go extinct when f(x)= 0

<=> -34x + 320 = 0

<=> x  ≈ 9.4

So after 10 years, the the population predicted to go extinct

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Find the slope of a line perpendicular to 3x + 5y = 15.
Zielflug [23.3K]

Answer:

B)5/3

Step-by-step explanation:

"3x + 5y = 15."

Rewrite in slope-intercept form.

The slope-intercept form is  

y=mx+b

where  m is the slope and  b  is the y-intercept.

y=mx+b

Subtract  3x  from both sides of the equation.

5y=15−3x

Divide each term by  "5"  and simplify.

5y/5=15/5−3x/5

"5" and "5" cancel each other out

Divide  15  by  5

y=3-3x/5

Reorder  3  and  −3x/5

y=-3x/5+3

Rewrite in slope-intercept form.

y=−3/5x+3

Slope:-3/5

The equation of a perpendicular line to  y=−3x/5+3  must have a slope that is the negative reciprocal of the original slope.

<em>m</em>perpendicular=−1/(−3/5)

Simplify the result.

mperpendicular=5/3

hope this helps!

8 0
3 years ago
How do you solve 7/8+(4/8-2/4)
SCORPION-xisa [38]
The answer is 7/8 find a common denominator or cross multiply
4 0
1 year ago
I REALLY NEED SOME HELP! I CANT FAIL THIS!! PLEASE!!
Anit [1.1K]

Answer:

1: D

2: B

Step-by-step explanation:

7 0
2 years ago
HELP ME PLEASE IM HAVING SO MUCH TROUBLE....
zysi [14]
Pretty sure it’s B I could be wrong
5 0
3 years ago
The table shows ordered pairs of the function y = 16 0. 5x. A 2-column table with 6 rows. The first column is labeled x with ent
zvonat [6]

Option 3 is the correct answer. The missing values of (x, y) is (8, 20).

<h3>How do you find out the values?</h3>

Given that the function is,

y = 16 + 0.5x

The function is a linear equation that can be solved graphically. The values of both variables x and y can be found on different points along with the straight-line graph.

Also, for every value of x, there is a corresponding value of y.

For the given options, we put the values of x to find the corresponding value of y.

For option 1, put x = 0 in the given function,

y = 16 + 0.5\times 0\\y = 16

But for x=0, y= 18, hence option 1 is not correct.

For option 2, put x = 5 in the given function,

y = 16 + 0.5\times 5\\y = 18.5

But for x=5, y= 19.5, hence option 2 is not correct.

For option 3, put x = 8 in the given function,

y = 16 + 0.5\times 8\\y = 20

But for x=8, y= 20, hence option 3 is the correct answer.

Hence we can conclude that option 3 is the correct answer. The missing values of (x, y) is (8, 20).

To know more about the function, follow the link given below.

brainly.com/question/5245372.

7 0
2 years ago
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