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Eduardwww [97]
3 years ago
9

Which point of intersection is the solution to the system that of equations y= 2/5x-1/2 and y=-1/3x+2/3

Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0

Answer:

x = 35/22

y = 3/22

Step-by-step explanation:

y= 2/5x-1/2 ................(1)

y=-1/3x+2/3 ...............(2)

10*(1)

10y = 4x -5 ...................(1A)

3*(2)

3y = -x +2  ....................(2A)

To find intersection, solve for y & x

4(2A) + (1A)

12y+10y = -4x+4x +8-5

22y = 3

y = 3/22

Substitute in (1)

3/22 = 2/5x -1/2

multiply by 110

15 = 44x - 55

70 = 44x

x = 70/44 = 35/22

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3 years ago
How many points on the graph represent a relative minimum? please help
Tasya [4]
<h3>Answer:  1</h3>

Point B is the only relative minimum here.

===========================================================

Explanation:

A relative minimum is a valley point, or lowest point, in a given neighborhood. Points to the left and right of the valley point must be larger than the relative min (or else you'd have some other lower point to negate its relative min-ness).

Point B is the only point that fits the description mentioned in the first paragraph. For a certain neighborhood, B is the lowest valley point so that's why we have a relative min here.

There's only 1 such valley point in this graph.

--------------

Side notes:

  • Points A and D are relative maximums since they are the highest point in their respective regions. They represent the highest peaks of their corresponding mountains.
  • Points A, C and E are x intercepts or roots. This is where the graph either touches the x axis or crosses the x axis.
  • The phrasing "a certain neighborhood" is admittedly vague. It depends on further context of the problem. There are multiple ways to set up a region or interval of points to consider. Though visually you can probably spot a relative min fairly quickly by just looking at the valley points.
  • If you have a possible relative min, look directly to the left and right of this point. if you can find a lower point, then the candidate point is <u>not</u> a relative min.
8 0
3 years ago
$3 is what percent of $4?
ozzi

Answer:

The answer is 3/4 = 75%

Step-by-step explanation:

3/4 = 75%

It is: 3/4 = 75%

4 0
3 years ago
The scoop Shop sells many types of nuts. Lily asks for this mix:
Licemer1 [7]

Answer:

1/12 = 24/12 = 2

pea: 12/24

haz: 4/24

alm: 8/24

cash: 18/24

pec: 6/24


how to do it: find a common denominator, or write it how and scan it with photo math and it will show you how to work it out!

hope this helped or was right, thanks <3


4 0
4 years ago
2(x-3)=14 what does x equal
AnnyKZ [126]
I think the answer is 8.5 ,I’m not sure about this tho
7 0
3 years ago
Read 2 more answers
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