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levacccp [35]
3 years ago
15

four musicians need 6 minutes to play a song. if the song was played at the same tempo, how long would it take two musicians to

play the song?
Mathematics
1 answer:
Tamiku [17]3 years ago
8 0
Two musician will need 12 minutes to play the song
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Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
Simplify.<br><br> 3(y+7)+8y<br><br><br> Please answere
Katena32 [7]
3y+21+8y
11y+21 is the answer
7 0
2 years ago
Read 2 more answers
A block of silver is weighing 8 ounces is worth $104. What is the unit rate for the Value of silver in one ounce
Igoryamba

Answer:

5

Step-by-step explanation:

3 0
2 years ago
44 points in 4 quarters
IgorLugansk [536]
<span>
28 11 points in 1 quarter because 44/4=11 which is 11/1</span>
4 0
3 years ago
Fred begins walking toward John house at 3 mi/h. John leaves his house at the same time and walks toward Fred's house on the sam
Tcecarenko [31]
Let us assume as at when they meet, the time elapsed is x hours.

Fred  3 mi/h
John  2 mi/h

Distance = speed * time

Fred = 3x
John = 2x

Houses are 4miles apart. 
So:            3x + 2x  = 4    5x = 4

x = 4/5 hour =  0.8 hour or 0.8*60 = 48 minutes

Time elapsed is 0.8 hour or 48 minutes.
7 0
3 years ago
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