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scoundrel [369]
3 years ago
5

Ellie bought two pairs of shoes during a BOGO (Buy One, Get One) sale. She received a 20% discount on the second pair of shoes.

The regular price of each pair of shoes was $49.99. How much did Ellie pay for the two pairs of shoes, excluding tax?
Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer:

89.98

Step-by-step explanation:

49.99 x 20% = 9.998

So, 20% of 49.99 is 10.

49.99 - 10 = 39.99 To get the Total of the discounted item.

49.99 + 39.99 = 89.98 Add final totals to get answer

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tatyana61 [14]
Do you have the picture?
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How many complex roots does the equation below have?
Maslowich

Answer:

  The number of complex roots is 6.

Step-by-step explanation:

Descartes's rule of signs tells you that the number of positive real roots is 0. The number of negative real roots will be at most 2. The minimum value of the left side will be between x=0 and x=-1, but will never be negative. Thus all six roots are complex.

_____

The magnitude of x^3 will exceed the magnitude of x^6 only for values of x between -1 and 1. Since the magnitude of either of these terms will not be more than 1 in that range, the left-side expression must be positive everywhere.

4 0
3 years ago
Help me fjfjsncjdhdhfh​
Deffense [45]

Step-by-step explanation:

=>  2 {x}^{2}  +  \frac{7}{2}x +  \frac{3}{4}  = 0

=> \frac{8 {x}^{2}  + 14x + 3}{4} = 0

=> 8 {x}^{2}  + 14x + 3 = 0

=> 8 {x}^{2}  + 12x + 2x + 3 = 0

=> 4x(2x + 3) + 1(2x + 3) = 0

= > (2x + 3)(4x + 1) = 0

=  > x =  -  \frac{3}{2} or \frac{ - 1}{4}

option C

8 0
3 years ago
a 1 ​ =− 3 1 ​ a, start subscript, 1, end subscript, equals, minus, start fraction, 1, divided by, 3, end fraction a i = a i − 1
MrRa [10]

Answer:

S_{75}=-506.888989761$ X 10^{32}

Step-by-step explanation:

Given the sequence

a_1=-\dfrac{1}{3}\\ a_i=a_{i-1}\cdot (-3)

a_2=a_{2-1}\cdot (-3)=a_1 \cdot (-3) = -\dfrac{1}{3}\cdot (-3)=1\\a_3=a_{3-1}\cdot (-3)=a_2 \cdot (-3) = 1 \cdot (-3)=-3\\a_4=a_{4-1}\cdot (-3)=a_3 \cdot (-3) = -3 \cdot (-3)=9\\

Therefore the sequence is:

 -\dfrac{1}{3}, 1, -3, 9, ...

This is a geometric sequence where the:

First Term, a_1=-\dfrac{1}{3}

Common ratio, r =-3

We want to determine the sum of the first 75 terms.

For a geometric sequence, the sum:

S_n=\dfrac{a_1(1-r^n)}{1-r} \\

Therefore:

S_{75}=\dfrac{-\dfrac{1}{3}(1-(-3)^{75})}{1-(-3)} \\\\=\dfrac{-(1-(-3)^{75})}{4*3}\\\\S_{75}=\dfrac{(-3)^{75}-1}{12}\\\\S_{75}=-506.888989761$ X 10^{32}

5 0
3 years ago
The general equation for a circle is a(x^2 + y^2) + bx + cy + d = 0. There is exactly one circle passing through the points (3,-
lidiya [134]

Answer:

The equation for this circle is 2c(x²+y²) - 8cx + cy = 0

Step-by-step explanation:

We can solve this problem replacing each of the points in the general equation and then solving the system of equations.

The fact that the circle passes by the point (3,-2) means that when x = 3, y = -2. So:

a(3^{2} + (-2)^2) + 3b - 2c + d = 0

13a+ 3b - 2c + d = 0

For (1, -2)

a(1^{2} + (-2)^2) + b - 2c + d = 0

5a + b - 2c + d = 0

For (0,0)

a(0^{2} + (0)^2) + 0b - 0c + d = 0

d = 0

Now we have to find a,b,c, from the following equations

13a+ 3b - 2c = 0

5a + b - 2c = 0

Since we have variables and 2 equations, i am going to write a and b as functions of c.

13a + 3b = 2c

5a + b = 2c

I will write b in the second equation as a function of a and c, and replace in the first equation

b = 2c - 5a

---------

13a + 3(2c-5a) = 2c

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2a = 4c

a = 2c

-----------

b = 2c - 5a

b = 2c - 5(2c)

b = -8c

The solution for the system is (a,b,c) = (2c, -8c, c). So the equation for this circle is 2c(x²+y²) - 8cx + cy = 0

6 0
3 years ago
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