1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi [55]
3 years ago
6

What is the x intercept of the line?

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

  (22, 0)

Step-by-step explanation:

The x-intercept is the point on the line where y=0.

Here, we can see that as y decreases by 20 from 40 to 20, x increases by 30 from -38 to -8. At these rates, if y continues to decrease by 20 from 20 to 0, x will increase by 30 from -8 to +22. That is, the point (22, 0) is a point on this line. These are the coordinates of the x-intercept.

_____

<em>Alternate solution</em>

You can go to the trouble to find a number that is the slope of the line, write the equation for the line, and solve that equation for the x-intercept. Using the numbers above, we find the slope to be -20/+30 = -2/3. Using any point, we can write the point-slope equation as ...

  y -20 = -2/3(x +8) . . . . . . . . I like to choose the smallest numbers

Now, solving for y=0, we get

  -20 = -2/3(x +8)

  30 = x +8 . . . . . . . multiply by -3/2

  22 = x . . . . . . . . . . subtract 8

_____

<em>Comment on solution methods</em>

I am always looking for the easiest, quickest way to solve a problem, preferably without pencil and paper. The first step in solving any problem is to look at what you are given, and at what you are asked to find. (I had a college professor that required homework to be structured in 3 sections: Given, Find, Solution. It is helpful to think that way.)

Here, we're given a table of x- and y-values and asked to find the table entry (x=??) for y=0. The given y-values decrease by 10, but there is a pair of them that decrease by the same amount as the difference from 20 to 0. That is, the sequence 40, 20, 0 is an arithmetic sequence. Then the corresponding x-values of -38, -8, ?? will likewise be an arithmetic sequence. All we need to do is find the difference of numbers in that sequence and use it to find the value of ??. The difference -8 -(-38) = 30, so the difference ??-(-8) = 30. ?? = 22.

Our solution takes one subtraction and one addition, both of which we can do in our head.

You might be interested in
34 x 44 <br> Please explain to me
sladkih [1.3K]

Answer:

34*44=

1. 4*4=16

2. 4*3=12

3. repeat

4. your answer is 1,496

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The temperature outside was -12 °. The temperature dropped 3 degrees. What is the new temperature?
tigry1 [53]

Answer:

-15

Step-by-step explanation:

the new temperature since it went down

-12-3= -15

5 0
3 years ago
Read 2 more answers
Aadya and Ethan like playing with remote-control cars. There's a straight track at the
e-lub [12.9K]

The distance between the two cars is now 320 yards.

<h3 /><h3><u>Distances</u></h3>

To determine what is the distance between the two cars now if they did not collide the following calculation must be performed:

  • 500 - (500 - 405) - (500 - 415) = X
  • 500 - 95 - 85 = X
  • 500 - 180 = X
  • 320 = X

Therefore, the distance between the two cars is now 320 yards.

Learn more about distances in brainly.com/question/989117

8 0
2 years ago
Fre.e brainliest,<br><br> just name 3 types of monkeys
nekit [7.7K]

Answer:

Emperor tamarin, Mandrill, and Japanese macaque.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Math word problem we need help?
aliina [53]

The total profit is :$37.46. Number of boxes for pop B to purchase more is 56 boxes.

Step-by-step explanation:

1.

Pop B number =36

Remaining Pop B after meeting = 36-17 =19

Amount obtained after selling remaining Pop B = 19* 0.75 = $14.25

Pop A number =75

Remaining Pop A after meeting = 75-8 =67

Amount obtained after selling pop A = 67*0.5 =$33.5

Profit in Pop B = $14.25-$3.79 =$10.46

Profit in Pop A =$33.5 -$6.50 = $27

Total profit after sell of Pop A and B = $10.46+$27 = $37.46

2.

The target profit is $250

Subtracting profit meet = $250 - $ 37.46 =$212.54

Profit to be attained by the sell of pop B only should be =$212.54

Selling price of pop B per box is $3.79

Number of boxes for pop B to purchase more will be;

$212.54/ $3.79 = 56.08 ⇒ 56  more boxes

Learn More

To find profit from selling price ;brainly.com/question/927518

Keywords ; pop, profit, goal, more boxes, sale price , brand

#LearnwithBrainly

5 0
3 years ago
Other questions:
  • How much do I pay for the loan
    9·1 answer
  • what is the missing side in a right triangle if one leg measures 5 cm and the longest side measures 13 cm
    7·1 answer
  • Y=25x+35
    9·2 answers
  • Just one bacterium, dividing every 20 minutes could produce nearly 5 billion bacteria in one day. Could this be correct or a mis
    6·1 answer
  • Helppppppppppppppppppppppppppppppppppppppppppppppppppppp
    11·1 answer
  • write a polynomial expression that represents the area of a trapezoid with bases of 6x-5 and 4x+7, and a height of x+1.​
    11·1 answer
  • Let f = {(-2,4), (-1,2), (0,0), (1,-2), (2,-5)}
    14·1 answer
  • What is the total length of all the seeds<br> that the students measured?
    6·1 answer
  • If 6 is subtracted from a number the result<br> is 39.
    11·2 answers
  • ANYONE PLEASE HELP ME WITH MY MATH HOMEWORK I REALLY NEED THE ANSWER RIGHT NOW BECAUSE I HAVE TO PASS THIS LATER I DON’T HAVE MU
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!