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2 years ago

Name the four types of solution types used to classify quadratic equations particularly when the discriminant is used.

Mathematics

1 answer:

LenKa [72]2 years ago

7 0

real number solution, no real number solutions, repeated real number solutions, two real number solutions

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Recently, six single-family homes in San Luis Obispo County in California sold at the following prices (in $1,000s): 560, 468, 6

solmaris [256]

The interval for mean sale price is $582

According to statement

The given rates are 560, 468, 685, 534, 658, 593

Now,

Sample mean = X / n

Put the values in it and then

(560+ 468+ 685+ 534+ 658+ 593) / 6 = 582.1667

and use this formula S = sqrt [ X2 - n 2 / (n-1) ]

and put the values in these and

S = sqrt [ X2 - n 2 / (n-1) ] = 95.97179

So, The interval for mean sale price is $582

Learn more about SAMPLE MEAN here

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6 0

1 year ago

Write the equation of the line that passes through (0, 1) and has a slope of 0

Inessa [10]

Answer:

y = 1

Step-by-step explanation:

The slope is 0.

y = (0)x + b

y = b

The line passes through (0, 1).

(x, y)

Put y as 1.

1 = b

The y-intercept is 1.

y = 1

7 0

2 years ago

Mitch can grow 150 wild flowers with every seed packet. Write an equation that shows the relationship between the number of seed

Troyanec [42]

P = 150w

In words, 1 seed packet (p) is 150 wild flowers (w)

7 0

2 years ago

What is the eighth multiple of 12

mylen [45]

Answer:

8 x 12 = 96!

Step-by-step explanation:

It is the same as 8 x 12, which would have the answer of 96.

3 0

2 years ago

Read 2 more answers

A rectangular box which is open at the top can be made from an12-by-18-inch piece of metal by cutting a square from each corner

algol [13]

Answer:

h=2.35in, l=13.3in and w=7.3in

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram that will represent the prolem. (Look at attached picture)

From the diagram we can see that the length ad the width of the box are found by using the following expressions:

L=18-2x

W= 12-2x

H=x

next, we can make use of the volume formula of a rectangular prism, which is the following:

V=WLH

so we can substitute the expressions we got before on the formula:

V=x(12-2x)(18-2x)

and for ease of calculation, we can multiply the terms, so we get:

$V=x(216-24x-36x+4x^{2})$

$V=x(4x^{2}-60x+216)$

$V=4x^{3}-60x^{2}+216x$

So now we can find the derivative of the volume:

$V'=12x^{2}-120x+216$

and set it equal to zero, so we get:

$12x^{2}-120x+216=0$

and now we can solve. We can start by factoring the left side of the equation, so we get:

$12(x^{2}-10x+18)=0$

which yields:

x^{2}-10x+18=0

This one can only be solved by using the quadratic formula:

$x=\frac{-b\pm \sqrt{-b^{2}-4ac}}{2a}$

so we substitute the corresponding values:

$x=\frac{-(-10)\pm \sqrt{-(-10)^{2}-4(1)(18)}}{2(1)}$

which yields:

x=7.65in or x=2.35in

we keep the 2.35in only, because the 7.65in returns an impossible box, since that would make the width a negative width.

So the 2.35in height would give us the greatest box. Now we can use it to find the height, the width and the length of the box.

Height=x=2.35

W=12-2x=12-2*2.35=7.3in

L=18-2x=18-2(2.35)=13.3in

5 0

2 years ago