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KonstantinChe [14]
3 years ago
12

Consider the quadratic equations

Mathematics
2 answers:
Debora [2.8K]3 years ago
6 0
Consider the two functions as
<span>y1(x) =3x^2 - 5x, 
y2(x) = 2x^2 - x - c

The higher the value of c, father apart the two equations will be.
They will touch when the difference, i.e. y1(x)-y2(x)=x^2-4*x+c has a discriminant of 0.
This happens when D=((-4)^2-4c)=0, or when c=4.
(a)
So when c=4, the two equations will barely touch, giving a single solution, or coincident roots.
(b) 
when c is greater than 4, the two curves are farther apart, thus there will be no (real) solution.
(c) 
when c<4, then the two curves will cross at more than one location, giving two distinct solutions.

It will be more obvious if you plot the two curves in a graphics calculator using c=3,4, and 5.


</span>
laila [671]3 years ago
3 0
Can you please make this more clear
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alexandr402 [8]

3 blue + 3 yellow = 6 total marbles.

The probability of picking a blue one first would be 3/6 ( 3 blue out of 6 total marbles).

3/6 reduces to 1/2.

After picking the first marble, there would be 5 marbles left in the bag.

The probability of picking a yellow one would be 3/5 ( 3 yellow and 5 total marbles left).

The probability of picking a blue then a yellow then becomes:

1/2 x 3/5 = 3/10 = 0.30 = 30%

4 0
3 years ago
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What is the area of the square units ? W (11,2), X (11,8), Y (14,8), Z (14,2)
aleksklad [387]

Answer:

18 units²

Step-by-step explanation:

Find the side lengths then multiply the length and width to find the area.

3 0
2 years ago
Stuck on question 1, can anyone help???
poizon [28]

'A' is the square root of 25. That's 5, so take A=5 with you
as you go to the next step.

B is A³.   A³ means (A x A x A).  We know that 'A' is 5, so 'B' is (5x 5 x 5) = 125 .
Take B=125 with you to the next step.

'C' is  B - 25.  We know that  'B'  is 125.  So  C = (125 - 25) = 100 .
Take  C=100  with you to the next step.

'D' is the square root of  'C'.  We know that C=100, so  D = √100 .
The square root of 100 is 10, so  D=10.
Take  D=10  with you to the next step .

'E' is  D+39.  We know that  D=10.  So  E=(10+39) = 49 .
Take  E=49 with you to the last step.

'F' is the square root of 'E'.  We know that E=49.


7 0
3 years ago
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What is 3/5 of 40? If you can, please include examples... Tysm
Snowcat [4.5K]

Answer:

24

Step-by-step explanation:

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2 years ago
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Jasmine sold 90 rolls of wrapping paper.Jasmine sold 2times as many wrapping paper as Carly.How many rolls of wrapping paper did
hodyreva [135]
135 because if you divide 90 by 2 you get 45 then add 45 and 90 and you get 135
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3 years ago
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