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spayn [35]
4 years ago
15

F(x)=-4x^2+10x-8

Mathematics
1 answer:
stira [4]4 years ago
7 0
Discriminant is b^2 -4ac. So it’s (10)^2 - 4 (-4)(-8) = 100 + 128 = 228. When the discriminant is greater than 0 and not a perfect square you have 2 real irrational roots.
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How do I find the the perimeter of a rectangle<br> in a coordinate plane
pashok25 [27]

From the way you worded the question, it sounds like you have
the (x, y) coordinates of each corner of the rectangle.

The perimeter of any shape is the distance all the way around it,
or the sum of the lengths of all the sides.

So you have to take the coordinates of the four corners of the
rectangle, and find the length of each side ... that's the distance
between each pair of corner-points.  Then addum up to get the
perimeter.

I know finding the distance between two points is a pain, so I'll
tell you a way to make it a bit simpler:  You don't actually need to
do it 4 times.  You can get away with doing it only 2 times, and
you'll have enough information to find the perimeter.

Take the coordinates at the ends of any side of the rectangle.
Find the distance between them.  The side opposite that one
has the same length.

Then take the coordinates of either side that hooks onto the
side you just did.  One end of it will have the same coordinates
that you just worked with.  Find the distance between the two ends.
You know that this distance is the other dimension of the rectangle,
and you also know that the side opposite it has the same length.

So now, you found the distance between two pairs of points,
and you know both dimensions of the rectangle, and you know
the length of all four sides.

Now you can wrap it up !

3 0
4 years ago
Suppose I claim that the average monthly income of all students at college is at least $2000. Express H0 and H1 using mathematic
pishuonlain [190]

Answer:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 200 or no

Step-by-step explanation:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 2000 or no

7 0
3 years ago
Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 60km\h slower than the othe
DanielleElmas [232]

Answer:

4 V + 4 (V - 60) = D    where D is distance apart after 4 hrs

8 V - 240 = 7304

V = 943 km/hr

and V2 = 943 - 60 = 883 km/hr       where second plane is 60 km/hr slower

6 0
2 years ago
5. Calculate the area of the shaded region in the diagram if ABCD is a rectangle. 8 B 4 A 5 3 6 8 D 9 3 C​
il63 [147K]

Answer: 61 unit^2

Step-by-step explanation:

ABCD is a rectangle with dimensions 12 by 11, for a total area of 132 (square units). Although I could determine the lengths of the parallel lines of the interior trapezoid from the data supplied, I'm lazy and decided, instead, to subtract from the total rectangle area the areas of the four right triangles formed outside the shaded area. The area of each triangle is (1/2)b*h, and we are given those dimensions on the figure.

The four triangle areas:

TriD = 36

TriA = 6

TriB = 20

TriC = 9

Total area = 71 square units.

Subtract this from the rectangle's area: 132 - 71 = 61 units^2

This is the area of the shaded trapezoid.

3 0
3 years ago
Find d^2y/dx^2 for y=(3x^2-1)^2
shtirl [24]
Dy/x^2
And you should put (3x^2-1)^2 instead y
5 0
3 years ago
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