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Juli2301 [7.4K]
3 years ago
10

what is the median number of car show this month Frank 25, Sarah 20, randall 15, Brahim 22, Alice 20,

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

Answer:

The median is 20.

Step-by-step explanation:

When lined from least to most (15, 20, 20, 22, 25) 20 is the middle number.

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The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.
pogonyaev

Answer:

A.Because ,center is (3,2)and point is (-2-3) .

and answer is (x-3)2+(y+2)2=52.

6 0
3 years ago
The diagram below shows part of the graph of the quadratic function f(x)=a(x-h)(x-k) with the condition h<k. Point P is the m
Valentin [98]

Answer:

see explanation

Step-by-step explanation:

(a)

The zeros are x = 1 and x = 5, thus the factors are (x - 1) and (x - 5)

f(x) = a(x - 1)(x - 5)

To find a substitute (0, 15), the coordinates of the y- intercept into the equation.

15 = a(0 - 1)(0 - 5) = a(- 1)(- 5) = 5a ( divide both sides by 5)

a = 3

Thus h = 1, k = 5, a = 3 and

f(x) = 3(x - 1)(x - 5)

(b)

The axis of symmetry is a vertical line with equation x = c ( c is a constant )

The axis of symmetry passes through the midpoint of the zeros

x = \frac{1+5}{2} = \frac{6}{2} = 3

Equation of axis of symmetry is x = 3

(c)

The axis of symmetry passes through P, with x- coordinate x = 3

Substitute x = 3 into the function for corresponding value of y

f(3) = 3(3 - 1)(3 - 5) = 3(2)(- 2) = - 12

Coordinates of  P = (3, - 12 )

6 0
3 years ago
Read 2 more answers
Approximate the zeros of the function. Round to the nearest tenth if necessary. f(x) = 4x^2 + 4x - 35. Explain each step on how
svet-max [94.6K]
4x²+4x-35=0
factor: (2x+7)(2x-5)=0
2x+7=0, or 2x-5=0
2x=-7 or 2x=5
x=-3.5 or x=2.5

I don't see any rounding necessary in this case. 

when you factor ax²+bx+c, you take the two factors of a and the two factors of c, one factor of a times one factor of c, the other factor of a times the other factors, the sum of the two products make b.
in this case, the factors of 4 is 2 and 2, the factors of -35 is -5 and 7. I line them up in the following way:
2    -5

2      7
then I multiple them diagonally, the top left 2 multiplying the bottom right 7=14, and the other 2 multiplying -5=-10, 14 and -10 make a sum of 4.

if you don't get the desired sum, switch the factors up and down till you have the right combination. Note: Do not switch left and right. 

I hope this makes sense to you.
8 0
3 years ago
Given ∆QRS≅∆TUV, QS=5v+3, and TV=6v−9, find the length of QS and TV.?
Kisachek [45]
If <span>∆QRS≅∆TUV, Their corresponding sides would be equal so, 
QS = TV
5v + 3 = 6v - 9
6v - 5v = 3 + 9
v = 12

Now, QS = TV = 5(12) + 3 = 60 + 3 = 63

In short, Your Answer would be Option B

Hope this helps!</span>
7 0
3 years ago
What is the difference between the exact simple interest and the ordinary simple interest on a 200-day loan of 5,000 at 12%
77julia77 [94]

Answer:

  4.56

Step-by-step explanation:

"Ordinary" interest will be more than "exact" interest because the number of days in a year is a smaller value. The difference will be ...

  Io = Prt = 5000(0.12)(200/360) = 333.33

  Ie = Prt = 5000(0.12)(200/365) = 328.77

The difference is ...

  333.33 -328.77 = 4.56 . . . the difference in interest values

_____

<em>Additional comment</em>

The question asks for the difference between exact and ordinary interest, so the result is technically negative:

  328.77 -333.33 = -4.56

6 0
3 years ago
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