All categories

5 months ago

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]5 months 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

You might be interested in

A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th

aksik [14]

Answer:

At least 547 records need to be studied.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

And the margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.96$ .

In this problem, we have that:

$M = 0.04, p = 0.35$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.35*0.65}{n}}$

$0.04\sqrt{n} = 0.93486$

$\sqrt{n} = 23.37$

$n = 546.2275$

At least 547 records need to be studied.

6 0

3 years ago

Help anybody? If so thanks

777dan777 [17]

Acute angle and a right angle makes a obtuse I learned this in 4th

4 0

2 years ago

Find the slope of the line 8x – 4y = 8\ (hint: find 2 points; then use the slope formula)

Vera_Pavlovna [14]

8x - 4y = 8

-4y = -8x + 8

y = -8x/-4 + 8/-4

y = 2x - 2, comparing to y = mx + c, slope m = 2

Slope = 2.

6 0

2 years ago

Another stack of books is 43 inches tall. Each book is 1/2 inch thick. Write an expression that represents the number of books i

enyata [817]

Answer:

86 books

Step-by-step explanation:

A stack of books is 43 inches tall.

Each book is $\frac{1}{2}$ inch thick.

To find the number of books in tha stack, divide the height of the stack by the height of the book:

$43:\dfrac{1}{2}$

The division by the fraction $\frac{1}{2}$ is equivalent to the multiplication by the fraction $\frac{2}{1},$ so

$43:\dfrac{1}{2}=43\cdot \dfrac{2}{1}=43\cdot 2=86$

5 0

2 years ago

Half an avocado has about 160 calories. how many calories do a dozen avocado have

deff fn [24]

160 * 2 = 320 * 12 =

3,840 calories

<em><u>I hope this helped!</u></em>

5 0

3 years ago

Read 2 more answers