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umka21 [38]
3 years ago
14

Calculate the discriminant. x2 – x – 2 = 0

Mathematics
1 answer:
nikitadnepr [17]3 years ago
6 0
\Delta=(-1)^2-4\cdot1\cdot(-2)=1+8=9
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ms. Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are
anygoal [31]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> number of tennis balls

y ----> number of tennis rackets

we know that

To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets

In this problem we have

\frac{x}{y}=\frac{5}{3}

see the model in the attached figure N 1

so

y=\frac{3}{5}x

y=0.60x

This is the equation of a linear direct variation

The relationship between the variables x and y is proportional

see the model in the attached figure N 2

4 0
3 years ago
A store sold 50 copies of a magazine for $150. Each copy of the magazine costs the same. Which equation and set of ordered pairs
Goryan [66]

Answer:

Option a. Y=3x

Step-by-step explanation:

Let us use cross multiplication method.

Let the cost of 1 magazine be x.

No. of copies                               Cost

1)50                                                $150

2)1                                                      x

50x=150 x 1               equation(1)

x=150/50

x=$3

Now see equation (1),

150=50x

150=50 x 3

Here let us represent the cost as y and no. of copies as x.

Y=3x

Therefore, a. Y=3x is the right answer.

Thank you!

                                             

8 0
3 years ago
A curve in polar coordinates is given by: r=9+3cosθ. Point P is at θ=21π/18 .?
ikadub [295]

Answer:

Step-by-step explanation:

Given that a curve in polar coordinates is given by:

r=9+3cosθ

a) At point P, we have

θ=\frac{21\pi}{18}

Substitute to get

r=9+cos \frac{21\pi}{18}\\=9.3932

b) Cartesian coordinate is

x= rcos \theta=3.6934\\y =r sin \tjeta =8.6365

c) At the origin r =0

when r =0

we have

9+3cos\theta=0\\cos\theta =-3

Since cos cannot take values as -3 it doe snot pass through origin.

6 0
2 years ago
What is the sum of (2/5x+6) and (3/5x-9)
user100 [1]

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7 0
3 years ago
Read 2 more answers
F r e e p o i n t s b o o ​
Katyanochek1 [597]

Answer:

Thank you lol. I am so bored right now.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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