Five sixths of the sum of three consecutive numbers is -237.5<br><br> write an equation and solve

Jesse uses 2 pounds of fertilizer for a 100-foot row of vegetables at her farm. At this rate, how many pounds of fertilizer woul

77julia77 [94]

9 pounds = 2 times 4 plus 1.

6 0

3 years ago

Which pair of lines is parallel? A. y=4x+1 and y+4=5 B. y=-2+x and 2y-2x=-2 C. y=1/4x + 2 and y-2=1/2x D. y=1/5x+1 and 5y+x= 10

sdas [7]

Answer:

B. y=-2+x and 2y-2x=-2

Step-by-step explanation:

Two lines are parallel if they have the same slope.

The equation 0of a line is tipically written as y=mx + b, where 'm' represents the slope and 'b' the y-intercept.

Let's evaluate each of the options:

A. y=4x+1 and y+4x=5

Writing the equations in the slope-intercept form, we get:

y=4x+1 → m=4

y=5-4x → m=-4

Given that they have different slopes, they are not parallel.

B. y=-2+x and 2y-2x=-2

Writing the equations in the slope-intercept form, we get:

y=-2+x → m=1

y=-1 + x → m=1

Given that the equations have the same slope, they are parallel.

C. y=1/4x + 2 and y-2=1/2x

Writing the equations in the slope-intercept form, we get:

y=1/4x + 2 → m=1/4

y=1/2x+2 → m=1/2

Given that they have different slopes, they are not parallel.

D. y=1/5x+1 and 5y+x= 10

Writing the equations in the slope-intercept form, we get:

y=1/5x+1 → m=1/5

5y+x= 10 → y=2 - 1/5x → m=-1/5

Given that they have different slopes, they are not parallel.

4 0

3 years ago

(7.02) classify each sequence as arithmetic, geometric, or neither.

Digiron [165]

Answer:

geometric

arithmetic

Step-by-step explanation:

1.

4/9,4/3,4,12,36

Multiply each term by 3 to get the next term. There is a common ratio between terms, so it geometric.

2.

0,1,2,3,4,5,6

Add 1 to each term to get the next term. Since there is a common difference between terms, it is an arithmetic sequence.

3.

-10,-6,-2,2,6,10

Add 4 to each term to get the next term. Since there is a common difference between terms, it is an arithmetic sequence.

6 0

3 years ago

What transformations change the graph of f(x) to the graph of g(x)?

Dennis_Churaev [7]

For this case we have that the main function is given by:

$f (x) = - 7x ^ 2$

We apply the following transformations:

Vertical expansions:

To graph y = a * f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

For a = 5 we have:

$h (x) = 5 * f (x)\\h (x) = 5 * (- 7x ^ 2)\\h (x) = - 35x ^ 2$

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

For k = 5 we have:

$g (x) = h (x) + k\\g (x) = - 35x ^ 2 + 5$

Answer:

The graph of g (x) is the graph of f (x) stretched vertically by a factor of 5 and translated up 5 units.

3 0

3 years ago

Read 2 more answers

Which graph equals ƒ(x) = -x + 6?

KIM [24]

The last graph is the answer

6 0

3 years ago

Read 2 more answers

Five sixths of the sum of three consecutive numbers is -237.5 write an equation and solve