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3 years ago

13

Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.60. After one month, Paul bo

ught 23 passes and spent a total of $42.80. How much did he spend on the student discount card?

1 answer:

Annette [7]3 years ago

6 0

Paul spent $6 on the student discount card. 23 times 1.60 equals 36.80. Subtract that from 42.80 and you get 6

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What does the fundamental theorem of algebra illustrate?

UNO [17]

Answer:

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

Step-by-step explanation:

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

We have to find the roots of this given equation.

If a quadratic equation is of the form $ax^{2}+bx +c=0$

Its roots are $\frac{-b+\sqrt{b^{2}-4ac } }{2a}$ and $\frac{-b-\sqrt{b^{2}-4ac } }{2a}$

Here the given equation is $2x^{2}-4x-1$ = 0

a = 2

b = -4

c = -1

If the roots are $x_{1} and x_{2}$ , then

$x_{1}$ = $\frac{-2+\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}$

= $\frac{4 +\sqrt{24}}{4}$

= $\frac{2+\sqrt{6} }{2}$

$x_{2}$ = $\frac{-2-\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}$

= $\frac{4 +\sqrt{8}}{4}$

= $\frac{2-\sqrt{6} }{2}$

These are the two roots of the equation.

6 0

3 years ago

What plus 18 equals 45?

natali 33 [55]

Okay to find what 18+?=45 just subtract 18 from 45. ANSWER: 27

8 0

3 years ago

Given the function

Licemer1 [7]

C) vertical translation down 6 units

and

d) reflection

the negative at the beginning shows there is a reflection, and the -6 as the k value means it’s moving down 6. hope this helps:))

6 0

3 years ago

How many cubes are used to form this

allsm [11]

You have to do length x width x height

So...

2x2x3 =

4 x 3

12 cubes

7 0

3 years ago

I could not figure out the answer help!!

german

You take 10/60 and multiply it by 100
10/60=0.1667
0.1667*100= 16.67%

3 0

3 years ago

Read 2 more answers