What's the sum of the infinite geometric series where a1 = 240, and the common ratio is r = 1∕3 ?

Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),

svp [43]

Step-by-step explanation:

As

The graph of the function passes through the point (2,1), and

y increases by 4 when x increases by 1.

so

x y

2 1

3 5

4 9

5 13

6 17

and so on

From the table:

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)$

$m=\frac{5-1}{3-2}$

$m=4$

As the slope-intercept form of the line is

$y=mx+b$

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

$1=\left(4\right)2+b$

$8+b=1$

$8+b-8=1-8$

$b=-7$

So putting $b=-7$ and $m=4$ in the slope-intercept form of the line

$y=\left(4\right)x+\left(-7\right)$

$y=4x-7$

Therefore, the equation for the linear function will be:

$y=4x-7$

8 0

3 years ago

X is increased by 50% and decreased by 30%. What is the result?

omeli [17]

Answer:

its the same as increasing x by 5 percent

4 0

2 years ago

What value of b will cause the system to have

Tresset [83]

9514 1404 393

Answer:

6

Step-by-step explanation:

The value of b that makes the two lines identical is the opposite of the y-intercept of the line.

y = 6x -6 . . . . has y-intercept = -6

The value of b is the number in the term -6, so is 6.

5 0

3 years ago

Suppose that

natka813 [3]

Answer:

I don’t know

Step-by-step explanation:

6 0

3 years ago

Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles

Allushta [10]

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

a. The inequality that represents the miles that Sherrod and Kamar drives is; x + y ≤ 900

b. Two possible combination of x and y are; (600, 300) and (300, 600)

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

x + y ≤ 900

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

First combination; (600, 300)

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

Second combination; (300, 600)

Learn more about inequalities here:

brainly.com/question/22976364

6 0

3 years ago