Here, Take any two coordinates: (0, 1) & (4, -2)
Slope, m = y2 - y1 / x2 - x1
m = 1 - (-2) / 0 - 4
m = 3/-4
m = -3/4

In short, Your Answer would be Option D

Hope this helps!

3 0

3 years ago

Construct an explicit rule in function notation for the arithmetic sequence represented in the table. Then determine the value o

strojnjashka [21]

Answer:

After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

n: 1 2 3 4

f (n): 260 360 460 560

Consider the data for f (n).

The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.

The nth term of an arithmetic sequence is:

$a_{n}=\frac{n}{2}[2a+(n-1)d]$

Compute the value of f (11) as follows:

$f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100]$

$=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360$

Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.

5 0

3 years ago

An animal shelter wants their ratio of dogs to cats to be 3:2. If the animal shelter has 78 dogs, how many cats should they have

OleMash [197]

The simplest way to do this is to set up equivalent fractions. So, you'd do:

$\frac{3}{2}$ = $\frac{78}{x}$ and then solve for x.

x=52

4 0

3 years ago