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3 years ago

Rewrite the following quadratic functions in intercept or factored form. Show your work.

Mathematics

2 answers:

Mariulka [41]3 years ago

4 0

Answer:

y = 5x (x+2)

Step-by-step explanation:

We are given the following the quadratic function and we are to rewrite it in intercept or factored form:

$y = 5x^2 + 10x$

We can factorize the given expression so taking the common factors out of it to get:

$y=5x^2 + 10x$

$y = 5x (x + 2)$

Therefore, the factored form of the given quadratic function is y = 5x (x+2).

Inga [223]3 years ago

3 0

Answer:

y = 5x(x+2)

Step-by-step explanation:

Given quadratic equation is:

y = 5x²+10x

We have to transform given function into factored form.

Taking x common from given function,we get

y = x(5x+10)

5 and 10 are multiple of 5.

Hence,

taking 5 as common,we get

y = x(5)(x+2)

y = 5x(x+2) is factored form of given quadratic function.

You might be interested in

Find three real numbers x, y, and z whose sum is 6 and the sum of whose squares is as small as possible. g

mart [117]

We're minimizing $x^2+y^2+z^2$ subject to $x+y+z=6$ . Using Lagrange multipliers, we have the Lagrangian

$L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(x+y+z-6)$

with partial derivatives

$\begin{cases}L_x=2x+\lambda\\L_y=2y+\lambda\\L_z=2z+\lambda\\L_\lambda=x+y+z-6\end{cases}$

Set each partial derivative equal to 0:

$\begin{cases}2x+\lambda=0\\2y+\lambda=0\\2z+\lambda=0\\x+y+z=6\end{cases}$

Subtracting the second equation from the first, we find

$2x-2y=0\implies x=y$

Similarly, we can determine that $x=z$ and $y=z$ by taking any two of the first three equations. So if $x=y=z$ determines a critical point, then

$x+y+z=3x=6\implies x=y=z=2$

So the smallest value for the sum of squares is $2^2+2^2+2^2=12$ when $(x,y,z)=(2,2,2)$ .

8 0

2 years ago

Robert is using the following data samples to make a claim about the house values in his neighborhood:

luda_lava [24]

Both mean and median are measures of the center of a set of data.
Mean is normally preffered to the median except if there is an outlier that has a tendency to affect the mean.
An outlier is a data point that significantly differs from the other data points in a sample.
In the data set above, there is no outlier that will affect the mean.
Therefore, he should use the mean because there are no outliers that affect the mean.

3 0

2 years ago

Read 2 more answers

teacher gives 5 students a multiple choice test, in which each problem is worth 1 point and there is no penalty with negative po

mamaluj [8]

The mean is the average value of a given set of numbers, and the median is the number in the middle of a set of numbers arranged in increasing order

The correct values as response to the questions are;

The minimum possible top score is 21

The maximum possible top score is 32

The minimum of the possible standard deviation is approximately 1.26

The maximum of the possible standard deviation is approximately 11.7

The reason the above values are correct are as follows:

The given parameters are;

The number of students that take the test, n = 5

The amount of points for each problem = 1 point

The median score = 9

The mean Score = 10

Required:

The minimum possible score;

The maximum possible top score

The minimum of the possible standard deviations

The maximum of the possible standard deviations

Solution:

Given that there is a score (the median) which is 9, we have;

The scores obtainable in the test is Scores ≥ 9

Therefore, for a score of 10, we have;

The minimum total points obtainable = Mean × Number of students

Therefore;

Total minimum total points obtainable by the 5 students = 5 × 10 = 50

The minimum possible top score

By arrangement, with the median at the middle, the minimum possible top score is given as follows;

0, 0, 9, 20, 21

Therefore, the minimum possible top score is 21

The maximum possible top score

The maximum possible top score is similarly given by arrangement of the numbers as follows'

0, 0, 9, 9, 32

The maximum possible top score is 32

The minimum standard deviation

By arrangement and selection, the minimum standard deviation is given as follows;

The minimum of the possible standard deviations of (9, 9, 9, 11, 12) ≈ 1.26

The maximum of the possible standard deviation

The maximum of the possible standard deviation is given as follows;

The maximum of the possible standard deviation of (0, 0, 9, 9, 32) ≈ 11.7

Learn more about mean and median here:

brainly.com/question/17012793

8 0

2 years ago

Please someone help me in this

Elis [28]

Answer:

20 watches were made.

Step-by-step explanation:

385=15n+85

300=15n

20=n

7 0

3 years ago

Read 2 more answers

Could you explain how you got the answer to please

Zina [86]

Answer:

I think is 53 A

Step-by-step explanation:

6 0

2 years ago