Which expression is equivalent

A graph of quadratic function y = f(x) is shown below.

umka21 [38]

Answer:

{f|0 ≤ f(x)}; x² - 4x + 5

Step-by-step explanation:

To find the Quadratic Equation, plug the vertex into the Vertex Equation FIRST, y = a(x - h)² + k, where (h, k) → (2, 1) is the vertex, plus, -h gives you the OPPOSITE terms of what they really are, and k gives you the EXACT terms of what they really are: (x - 2)² + 1. Doing this will give you the Quadratic Equation of x² - 4x + 5. You understand now?

I am joyous to assist you anytime.

7 0

3 years ago

Read 2 more answers

Help me with this lol value of( 2^3)^2

ss7ja [257]

Answer:

64

Step-by-step explanation:

first, we'll start with the value inside the parenthesis, which is 2³

2³ means to multiply 2 by itself 3 times

so it would be

2×2×2=8

which then means that the expression is now (8)²

now we need to do (8)², which is to multiply 8 by itself twice

8*8=64

hope this helps!

6 0

3 years ago

Which set of numbers does not contain 75?

Ksivusya [100]

Answer:

D, irrational numbers,

Step-by-step explanation:

75 is part of all groups except irrational numbers, it is an integer, a whole number and a natural number..

3 0

2 years ago

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12, 9, 15, 19, 20, 15 Mean Median Mode

Ede4ka [16]

Answer:

Mean: 15

Median: 15

Mode: 15

Step-by-step explanation:

<h2>Definitions:</h2>

Mean: It represents the average value of a given data set. The formula for finding the mean of a given set of numbers by taking the quotient of all numbers and the number of values. In other words:

$\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}$

Median: It represents the middle value in a given set of numbers. In order to determine the median, it is essential to arrange the given data either in ascending or descending order (although it is customary to arrange the numbers into ascending order).

If there is an odd number of values in a given set, then the middle number is the median of that set.

If a given list comprises of an even number of items, then we must take the average of the two middle numbers.

Mode: It represents the number that occurs most often on a list of items or data.

<h2>Solution:</h2><h3>Find the Mean:</h3>

Using the formula provided in the previous section for finding the mean:

$\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}$

$\displaystyle\mathsf{Mean\:=\:\frac{12+9+15+19+20+15}{6}\:=\:\frac{90}{6}\:=\:15}$

<h3>Find the Median:</h3>

Arrange the given data set in ascending order:

12, 9, 15, 19, 20, 15 ⇒ 9, 12, 15, 15, 19, 20

Next, since there is an even number of items on our given data set, we must take the average of the two middle numbers (which are 15 and 15):

$\displaystyle\mathsf{Median\:=\:\frac{15+15}{2}\:=\:\frac{30}{2}\:=\:15}$

Therefore, the median is 15.

As described in the previous section of this post, the mode is the number that occurs most often on our given data. The only repeating number on our list is 15, hence it is the mode.

Therefore, the mean, median, and mode of the given data set is 15.

6 0

3 years ago

5x+7y=10 into slope form

marysya [2.9K]

The answer is y=10/7-5/7x, subtract the 5x and put it on the other side then divide the 7 from the y and divide it to 10-5x to get the answer.

3 0

3 years ago