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Anna71 [15]
3 years ago
14

What does the quadratic function

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

Answer:

f(x) = (x -3)^2 - 1

Step-by-step explanation:

f(x) = x^2 - 6x + 8

a = 1, b = -6 and c = 8

So we are finding half of the b equation (ignore the negative sign)

Half of 6 is 3, so we are going to square 3 (3^2 = 9) and add 9 to the left side and subtract 9 to the right side

(x) = (x^2 - 6x + 9) + (8 - 9)

You can tell the polynomial is a perfect square, so we will have to factor it using the perfect square method

(x^2 - 6x + 9)

square toot of x^2 is x and square root of 9 is 3 and the operation sign after the a number is a minus sign

(x -3)^2

Don't forget the rest of the equation from before

(x -3)^2 + (8 - 9)

(x -3)^2 - 1

So the equation is f(x) = (x -3)^2 - 1

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Ifthe fish commission states that the mean length of all fish in spring run is mean =15cm,withthe standard deviation of variance
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Answer:

Step-by-step explanation:

z(lower) = (15-15)/4 = 0

z(upper) = (19-15)/4= 1

z  at  0 = .5

z at  1 = 0.841344746

(look these up in a Z table)

probability "between" = 0.841344746 - .5 = 0.3841344746

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3 years ago
To find proportion of the area under the normal curve between two Z scores that are both above the mean, it is necessary to exam
VikaD [51]

It is necessary to imagine the sum of the areas between each z-score and the average.

Given as the ratio of the area under the normal curve between two z-scores, both above average.

The  Z score accurately measures the number of standard deviations above or below the mean of the data points.

The formula for calculating the z-score is

z = (data points – mean) / (standard deviation).

It is also expressed as z = (x-μ) / σ.

  • A positive z-score indicates that the data points are above average.
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  • A z-score close to 0 means that the data points are close to average.
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Therefore, to find the percentage of the area under the normal curve between two z-scores, both above the mean, you need to look at the sum of the areas between the z-score and the mean.

Learn more about z-score from here brainly.com/question/16768891

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7 0
2 years ago
Paolo is using his grandmother's breakfast bar recipe. He always doubles
Papessa [141]

Answer:

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Step-by-step explanation:

lets start with what we know.

the recipe calls for 2 \frac{1}{2} cups of yogurt. and Paolo doubles the recipe. so multiply the recipe for yogurt by 2

2 \frac{1}{2} * 2 = 5 cups of yogurt.

the total of yogurt and oats is 6\frac{1}{3} and we know how much yogurt we have so we subtract that from the total of both.

6\frac{1}{3} - 5 = 1\frac{1}{3}

the oats after doubling were 1\frac{1}{3} cups so u divide it by 2

1\frac{1}{3} / 2 = \frac{2}{3} before doubling

7 0
3 years ago
Given the rational inequality below, explain why the solution set includes 3, but does not include 1? Make sure to write the fin
pychu [463]
Because there is no solution if any number divide by 0

3 0
3 years ago
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