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1 year ago

Which quadratic function is represented by the graph?

Mathematics

1 answer:

Vesnalui [34]1 year ago

3 0

The equation of the quadratic function will be y = 5(x – 7)(x – 5). Then the correct option is B.

<h3>What is a quadratic equation?</h3>

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The quadratic function is represented by the graph.

Then the equation of the quadratic function will be

The graph is passing through (7, 0) and (5, 0). Then the equation of the function will be

y = a(x – 7)(x – 5)

Then the vertex of the graph is at (6, -5). Then we have

-5 = a(6 – 7)(6 – 5)

-5 = -a

a = 5

Then the equation will be

y = 5(x – 7)(x – 5)

Then the correct option is B.

More about the quadratic equation link is given below.

brainly.com/question/2263981

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Evaluate 5x²-3(x-2)+x for x=3

Zepler [3.9K]

Answer:

Step-by-step explanation:

Evaluate 5 x^2 - 3 (x - 2) + x where x = 3:

5 x^2 - 3 (x - 2) + x = 5×3^2 - 3 (3 - 2) + 3

3^2 = 9:

5×9 - 3 (3 - 2) + 3

3 - 2 = 1:

5×9 - 3 + 3

5×9 = 45:

45 - 3 + 3

45 + 3 = 48:

48 - 3

| 4 | 8

- | | 3

| 4 | 5:

Answer: 45

3 0

3 years ago

In a spreadsheet, you can use the function NORM.DIST(upper bound, μ, σ, TRUE) to find the area under a normal curve for values o

Mars2501 [29]

Given Information:

Mean height of children = μ = 41 inches

Standard deviation of height of children = σ = 4 inches

Required Information:

Using Excel find P(x > 34) = ?

Answer:

P(x > 34) = 95.99%

Explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

The Microsoft Excel has a built-in function "NORMDIST" which calculates the probability of a normal distribution.

Syntax:

NORMDIST(x, mean, standard deviation, cumulative flag)

Where x is the variable of interest

Cumulative flag = TRUE or FALSE

The probability that a randomly chosen child is greater than 34 inches tall is given by

P(x > 34) = 1 - P(x < 34)

Using MS Excel,

P(x > 34) = 1 - NORM.DIST(34,41,4,TRUE)

Which return the probability of

P(x > 34) = 1 - 0.040059

P(x > 34) = 0.959941

P(x > 34) = 95.99%

Therefore, there is 95.99% probability that a randomly chosen child is greater than 34 inches tall.

6 0

3 years ago

13 inches = __ ft<br> PLS HELP PLS

Radda [10]

Answer:

1.083

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The measure of two supplementary angles are in the ratio 4:11 what is the measure of the larger angle

vichka [17]

The answer of larger angle is 132 degree

8 0

2 years ago

How to solve this?

nevsk [136]

Answer:

Answer of 17 is ㏒( $x^{2}$ +15x), Answer of 33 is x = 8 , Answer of 35 is x = ㏒10/㏒2 , Answer of 37 is x = -㏒12/㏒8 and Answer of 39 is x = 5

Step-by-step explanation:

17. ㏒x + ㏒(x+15)

Using property ㏒a + ㏒b = ㏒a×b

∴ ㏒x + ㏒(x+15)

㏒x×(x+15)

㏒( $x^{2}$ +15x)

The answer is ㏒( $x^{2}$ +15x)

33. 2^(x-5) = 8

2^(x-5) = 2^3

Using property 2^a = 2^b

Then a = b

∴x-5 = 3

x = 8

The answer is x = 8

35. 2^x = 10

Taking log on both sides gives

㏒2^x = ㏒10

x×㏒2 = ㏒10

x = ㏒10/㏒2

The answer is x = ㏒10/㏒2

37. 8^-x = 12

Taking log on both sides gives

㏒8^-x = ㏒12

-x×㏒8 = ㏒12

x = -㏒12/㏒8

The answer is x = -㏒12/㏒8

39. 5(2^3 × x) = 8

5(8×x) = 8

x = 5

The answer is x=5

5 0

3 years ago