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oee [108]
1 year ago
8

What is the standard form of a quadratic function passing through the points (2,4) , (3,5) and (4,3)

Mathematics
1 answer:
Sladkaya [172]1 year ago
5 0

The standard form of a quadratic function is y = 3/2x² + 17/2x - 7

<h3>How to determine the quadratic equation?</h3>

From the question, the points on the quadratic equation are given as

(2,4), (3,5) and (4,3)

The standard form of a quadratic equation is represented as

y = ax² + bx + c

So, we have

Point (2,4):

4a + 2b + c = 4

Point (3,5):

9a + 3b + c = 5

Point (4,3):

16a + 4b + c = 3

Solving using an online calculator. we have

a = 3/2, b = 17/2 and c = -7

Substitute a = 3/2, b = 17/2 and c = -7 in y = ax² + bx + c

y = 3/2x² + 17/2x - 7

Hence, the equation is y = 3/2x² + 17/2x - 7

Read more about quadratic equation at

brainly.com/question/1214333

#SPJ1

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PLZ HELP I CANT GET MY PHONE UNTIL I PASS THIS TEST HELP!!!!!!!
sladkih [1.3K]

Answer:

49

Step-by-step explanation:

4 : 3

x : 21

ok so we can divide 21 by 3 and get 7.

7 × 4 = 28

4 : 3 = 28 : 21

now we just 28 + 21 = 49 :D

5 0
3 years ago
Sand and gravel are mixed in the ratio 5:3 to form ballast.
r-ruslan [8.4K]
<h3>Answer:  1250 kg of sand</h3>

Work Shown:

sand/gravel = 5/3

x/750 = 5/3

3x = 750*5

3x = 3750

x = 3750/3

x = 1250

8 0
2 years ago
Three sisters have ages that are consecutive odd integers. The sum of their ages is 57. Find the age of each sister. You must in
Oxana [17]

Answer:

17, 19 and 21

Step-by-step explanation:

Consecutive odd numbers mean odd numbers that are right next to each other.

Eg: 3, 5, 7

Let x represent the youngest sister. The sister older than her will be 2 years older than her, hence (2 + x). The oldest sister would be 4 years older than the youngest and two years older than the middle sister, hence (4 + x).

The sum of their age = 57.

Hence:

x + (2 + x) + (4 + x) = 57

x + 2 + x + 4 + x = 57

Simplify

3x + 6 = 57

Rearrange

3x = 57 - 6

3x = 51

Divide both sides by 3 to make x on its own (this way we can find the age of the youngest sister).

x = 17 (youngest sister is 17 years old)

x + 2 = 19 (middle sister is 19 years old)

x + 4 = 21 (oldest sister is 21 years old)

4 0
3 years ago
The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?
tiny-mole [99]

Answer:

9200 dollars

Step-by-step explanation:

just minus it 77%

4 0
3 years ago
Please help me evaluate the problem below, which is attached in the picture.
Romashka-Z-Leto [24]
Plugging it into the calculator you get= .1402217

Not sure if decimal version is fine.?
4 0
3 years ago
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