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kap26 [50]
3 years ago
13

Does this Graph represent a function? Why or why not?

Mathematics
1 answer:
koban [17]3 years ago
3 0

Answer: Yes

Step-by-step explanation:

To solve this, imagine you have a vertical line. You can use a ruler or something straight. Move the ruler across the screen. Does the ruler intersect 2 points at once? If so, then it is not a function. If it only intersects one point, then it is a function.

Always remember: a function cannot have two x's with different y-values.

Hope that helped!

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Write and equation of the line that passes through the pair of points (4,6) and (-1,1)
bazaltina [42]

Answer:

y = x + 2

Step-by-step explanation:

Step 1: Find the slope

m=\frac{y2-y1}{x2-x1} = \frac{6-1}{4-(-1)}=\frac{6}{6} =1

Step 2: Substitute the slope and a point in to find y intercept

(6)=(1)(4)+b

6 = 4 + b

b = 2

Step 3: Substitute all the information in

y = x + 2

Therefore the equation for a line that passes through (4,6) and (-1,1) is y = x + 2

7 0
3 years ago
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What is the value of the equation -2/3x + 9 = 4/3 x -3?​
MArishka [77]

Answer:

x = 6

Step-by-step explanation:

\frac{-2}{3}x+9=\frac{4}{3}x-3\\\\\frac{-2}{3}x-\frac{4}{3}=-3-9\\\\\frac{-2-4}{3}x= - 12\\\\\frac{-6}{3}x = -12\\\\ -2x  -12\\\\x = \frac{-12}{-2}\\\\x = 6

3 0
3 years ago
Your parents are buying a house for $187,500. They have a good credit rating, are making a 20% down payment, and expect to pay $
Lyrx [107]
$187,500 is cost of house. 20%, or $37,500 is the down payment. The loan amount would be $187,500 - $37,500 = $150,000. If we assume the annual rate of the loan is 4.65% Then the monthly rate would be 4.65%/12 = 0.3875% If the loan is $150,000, the interest is 0.3875% The interst for the first month is $150,000 * 0.3875% = $581.25. You stated that their payment is $1,575. So the amount that pays off the loan is $1,575 - $581.25 = $993.75. At the end of the month, they owe $150,000 - $993.75 = $149,006.25 For the second month, the amount of the payment that goes towards intrest is $149,006.25 * 0.3875% = $577.40. and the amount that goes towards the loan is $997.60. At the end of the second month they owe $148,008.65. Regarding realized income, we recommend a monthly loan payment not to exceed 28% of the monthly income. So if a payment of $1,575 is 28% of Gross, then the math is : $1,575 = 0.28*Gross. Gross = $5,625 monthly. About $67,500 annually. About $33.75 an hour.
8 0
3 years ago
A parallelogram is a quadrilateral with two pairs of parallel sides.
Artyom0805 [142]

Answer:

C

Step-by-step explanation:

6 0
2 years ago
What is in the final step in the problem-solving process?
Alla [95]
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