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Serga [27]
3 years ago
12

The trinomial x^2+bx-c has factors of (x+m)(x-n), where m,n, and b are positive. What is the relationship between the values of

m and n?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
10 0
In the given above, we have an equation that is equal to, 

    x² + bx - c = (x + m)(x - n)

If we are to apply distributive property on the items at the right hand side of the equation, the equation becomes,
     x² + bx - c = x² - nx + mx - mn

Simplifying,
    x² + bx - c = x² + (m-n)x - mn

If b is a positive number, m-n should be positive. Therefore, the value of m should be greater than the value of n in order for m-n to become positive. 
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Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for
STALIN [3.7K]
Answer: chicken $8, duck $5

Explanation:

x - the cost of a chicken
y - the cost of a duck

he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532

50x + 30y = 550                divide by 10
44x + 36y = 550                 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55                                    
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8

Since 5x + 3y = 55  and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
6 0
3 years ago
Read 2 more answers
I used elimination to solve this system of equations and found out that y = 1. What does x equal?
stepan [7]
5x + 4y = 24
Substitute y for 1
5x + 4 = 24
5x =20
x = 4
5 0
3 years ago
Determine and state the coordinates of the center and length of the radius of a circle whose equation is
padilas [110]
First, rewrite the equation in standard form.
The center-radius form of the circle equation<span> is in the format:
(x – h)^</span>2<span> + (y – k)^</span>2<span> = r^</span>2
<span>with the center being at the </span>point<span> (h, k) and the radius being "r".
</span>
(x-3)^2 + (y+4)^2 = 81

From here, you can determine the center and radius. The center is at (3,-4) and the radius is 9.

4 0
3 years ago
Find the sum of the first n terms.
Sunny_sXe [5.5K]
S(8)=((100×(1−(50÷100)^(8))÷(1−50÷100)))
=199.22
5 0
3 years ago
5. From the choices below, choose an expression that is equivalent to the
blondinia [14]

Answer: -(22/4)

Step-by-step explanation:

8 0
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