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3 years ago

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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Marianne buys 16 bags of potting soil which come in 5/8 pound bags. This equals to 10 pounds of potting soil. Her father calls a

Ann [662]

Answer:

5 bags

Step-by-step explanation:

Given Marianne buys 16 bags of potting soil which come in 5/8 pound bags

The above provides 10pounds of potting soil already

Now her father says he needs 13 pounds So Marianne should get an extra of 13 - 10 =3 pounds of potting soil

We know that 1 bag contains 5/8 pounds of potting soil

x bags contain 3 pounds of potting soil

On cross multiplication we get

$\frac{5x}{8}=3$

x = $\frac{24}{5}$

since x is an integer x = 5 bags

Note that an extra amount of soil will be remained unused

8 0

3 years ago

Jack borrows 2000 for 2 years at a rate of 2% how much interest will he owe

neonofarm [45]

2000 x 2 x 0.02 = 80
answer
interest will be $80

7 0

3 years ago

Solve using substitution: 2x - 3y = -1 y = x - 1

denis-greek [22]

Answer:

x=4 y=3

Step-by-step explanation:

rewrite the equations- y=x-1 2x-3y=-1

solve y=x-1 for y

y=x-1

sub for x-1 for y in 2x-3y=-1

2x-3y=-1

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

-x+3=-1

-x+3+-3=-1+-3

-x=-4

divide both sides by -4

x=4

sub 4 for x in y=x-1

y=x-1

y=4-1

y=3

WE ARE VENOM

8 0

3 years ago

Find x and y. Please help

agasfer [191]

Answer:

x= -15

Step-by-step explanation:

4 0

3 years ago

Select all the distribution shapes for which it is most often appropriate to use the mean .

goblinko [34]

The distribution shape that tells us for which it is best to use the mean is the skewed.

This is the term that is used to refer to the average score that exists in a data set.

In the question, these are the reasons why the other options are not correct

When we say Bimodal we are talking about the 2 modes that are in a symmetric distribution. This has nothing to do with the mean

The bell shape has to do with how the normal distribution is when it is drawn. It would create a bell shape hence the mean is not useful.

symmetric has to do with the fact that there are mirror images when the vertical line is drawn in the distribution.

Uniformed shapes tells us that the classes are made up of the same frequency all through.

The skewed shape is what tells us if the median is more or if it is less.

Hence we have the answer that the distribution shapes for which it is most often appropriate to use the mean is the skewed.