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Drupady [299]
3 years ago
10

Use the discriminant to determine the nature of the roots of the following equation.

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Discussion

The discriminate is b^2 - 4*a*c

The general equation for a quadratic is ax^2 + bx + c

In this equation's case

a = 1

b= -5

c = - 3

Solve

(-5)^2 - 4*(1)*(-3)

25 - (-12)

25 + 12

37

Note

Since the discriminate is > 0, the roots are real and different. The roots do exist and there are 2 of them.

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A family of 2 adults and 3 children went on holiday to Miami.
oksano4ka [1.4K]

Answer:

£175

Step-by-step explanation:

Given the exchange rate was £1 = 1.84 dollars.

We are to change 322 dollars to pounds (£).

£1 = 1.84 dollars.

x = 322 dollars

Cross multiply

1.84 * x = 322

1.84x = 322

x = 322/1.84

x = 175

Hence 322 dollars in pounds will be £175

3 0
3 years ago
Table:
Fynjy0 [20]

Answer:

2) Yes, each x-coordinate is only used once.

3) {1,2,3,4}

4) {25,45,60,70}

5) (3,60)

6) No because (4,7) and (4,25) share the same x-coordinate.

Step-by-step explanation:

A relation is a function if there is no more than one y-value assigned to an x.

Any x used can only be used once in an order pair.

You that here.

(1,25)

(2,45)

(3,60)

(4,70)

So basically because all of the x-coordinates are different, this is a function.

The domain is the x-coordinate of each pair (the first of each pair):

{1,2,3,4}.

The range is the y-coordinate of each pair (the second number of each pair):

{25,45,60,70}.

One ordered pair that I see in the table is (3,60). There are 3 others you can choose and I named them above.

{(4,10),(3,15),(1,5),(2,25),(4,25)} is not a function because there are more than one pairs with the same x-coordinate,4.  

3 0
3 years ago
you're 495 miles from home and you are driving toward home at an average of 45mph. How long will it take to drive home if you ma
LenaWriter [7]

11 hours because I did the math

7 0
3 years ago
Maria rotated the triangle 90 degrees clockwise about the origin. What is the new triangle?
padilas [110]

Answer:

A’B’C’

Step-by-step explanation:

Well if triangle ABC is rotated 90 degrees clockwise around the origin it will turn right to create triangle A’B’C’.

4 0
3 years ago
What is the length of BD?
Ket [755]

Answer: BD = 9 units

Step-by-step explanation:

ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.

19.2 / 32 = 0.6

15 * 0.6 = 9

So the length of side BD is 9 units.

4 0
3 years ago
Read 2 more answers
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