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kvasek [131]
3 years ago
13

Rebecca is a Texas resident and she plans to attend Texas Tech for all 4 years of college. She has a yearly

Mathematics
1 answer:
LenKa [72]3 years ago
6 0

Answer:

To complete $m dollars that will suffice Rebecca for her college education, she needs $(m - 60,000).

Step-by-step explanation:

Suppose Rebecca needs $m to complete her four-year college education, given that she has a yearly scholarship of $10,000, she would have $10,000 × 4 = $40,000 for the four years she would spend in college.

With her savings of $20,000, she has $20,000 + $40,000 = $60,000 in total.

To complete the required $m dollars for her college, she needs $(m - 60,000).

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Can someone please give me an equation in slope-intercept form for this graph?
Scilla [17]

Answer:

substitute y = mx +b = (2/3)x -2

Step-by-step explanation:

slope intercert form looks like this

y = mx + b

m is the slope

b is the y intercept

The line intercepts the y at -2

To find slope, pick 2 points to find the slope

m = (y2 - y1)/(x2-x1)

i select point 1 (0,-2) and point 2 (3,0)

m = (0-(-2))/(3-0) = (2)/3

substitute y = mx +b = (2/3)x -2

4 0
3 years ago
What would be a line perpendicular to (2,3) (5,5)?
ladessa [460]

9514 1404 393

Answer:

  3x + 2y = 0   or   y = -3/2x

Step-by-step explanation:

The relationship between a line and its perpendicular is that their slopes are opposite reciprocals of each other. So, the thing you need to know about the line through the two given points is its slope. That is found using the slope formula:

  m = (y2 -y1)/(x2 -x1) . . . . . . where the two give points are (x1, y1) and (x2, y2)

Putting your point coordinates in this formula gives ...

  m = (5 -3)/(5 -2) = 2/3

Then the perpendicular line will have a slope that is the opposite reciprocal:

  slope of perpendicular = -1/m = -1/(2/3) = -3/2

You have not said whether the perpendicular line must meet any other requirement, so the simplest one we can write is ...

  y = mx + b . . . . . m is the slope and b is the y-intercept

  y = -3/2x . . . . . . has a y-intercept of 0 (goes through the origin)

Multiplying by 2 and adding 3x gives ...

  3x + 2y = 0 . . . . . standard form equation

_____

<em>Comment on the attachment</em>

The geometry program I used to create the attachment wrote the equation of the line through the given points as ...

 2x -3y = -5 . . . . . standard form equation

The equation of a perpendicular line can be created from this form by swapping the x- and y-coefficients and negating one of them. Simply swapping the coefficients would give ...

  -3x +2y = <something>

In standard form, we want the leading coefficient to be positive, so we can choose to negate the x-coefficient. The <something> can be zero to make the line go through the origin.

  3x +2y = 0 . . . . . a perpendicular in standard form

__

If you need to have the line go through a particular point, you can determine the constant value (on the right of the = sign) by putting the point coordinates in for x and y.

_____

Method summary:

  • find the slope of the given line
  • determine its opposite reciprocal to find the slope of the perpendicular line
  • use that new slope in an appropriate form to have the line go where you want it to go. (Point-Slope Form is often useful)

3 0
3 years ago
What are the answers to this?
kvv77 [185]

Answer:

C and D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
PLEASE!!!I NEED HELP!!!!!!!
den301095 [7]
It is c 12/5

hope it helps
3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!!!!!
zhannawk [14.2K]
The answer is A  to change an exponent from negative to positive, just move it into either the numerator or denominator depending on where it is to begin with. 
7 0
3 years ago
Read 2 more answers
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