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pantera1 [17]
3 years ago
15

PLEASE ANSWER! When a trinomial is factored as (x+m)(x+n), what is the sum of m and n?

Mathematics
1 answer:
Temka [501]3 years ago
5 0
C. The coefficient of the x-term of the trinomial

Again, here's your reason:
(x+m)(x+n)
x^2 +xm+nx +mn
x^2 + x (m+n) + mn


As you can clearly see that the sum of m and n equal the coefficient of x term so, the correct option is C.
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Classify the following as a fraction, expression, equation, or inequality b - 7 < 17
insens350 [35]

D. Inequality

An expression would just contain simple arithmetic without any symbols relating two things to another.

An equation must contain an equals sign.

A fraction will have a bar representing division.

An inequality contains a sign representing a comparison of magnitude, in this question less than <.

Hope this helps!!

3 0
2 years ago
Use the function f(x) to answer the questions.
fiasKO [112]

Answer:

Below in bold.

Step-by-step explanation:

A. −16x2 + 24x + 16 = 0

-8(2x2 - 3x - 2) = 0

-8(2x + 1 )(x - 2) = 0

x = -0.5, 2.

So the x-intercepts are (-0/5, 0) and (2, 0).

B.  As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.

To find its coordinates we convert the function to vertex form:

f(x) =  −16x2 + 24x + 16

=  -16(x^2 - 1.5x) + 16

Completing the square on  contents of the parentheses:

= -16 [(x - 0.75)^2  - 0.75^2] + 16

= -16(x - 0.75)^2  - 16 * -0.75^2 + 16

= -16(x - 0.75)^2 + 9 + 16

= -16(x - 0.75)^2 + 25.

So the coordinates of the vertex are (0.75, 25)

3 0
2 years ago
A company makes a $5 profit on each non-faulty product it sells. approximately 2% of the products manufactured are faulty, with
aivan3 [116]
We are given with a company profit of $ 5 profit where 2% of the products are faulty and the replacement-and-repait costs for the fauly products are equivalent to $ 100 each. Due to these faulty products, the equation becomes $ 5/ 1 = $ x / 0.98. The proft per item then is $ 4.9. 
3 0
3 years ago
*If 3 + 4(2x - 1) = 23, then 2x - 2 equals: *​<br><br>2<br><br>4<br><br>6<br><br>8
Anarel [89]

Answer:

4

Step-by-step explanation:

3 + 4(2x - 1) = 23

4(2x - 1) = 20

8x - 4 = 20

8x = 24

x = 3

---------

2(3) - 2

6 - 2

4

7 0
3 years ago
Which is a simplified form of the following expression? 6c^2+2.5d - d + 2c^2-3d
melisa1 [442]
By collecting like terms we have:

6 {c}^{2}  + 2 {c}^{2}  + 2.5d - d  - 3d \\  \\ 8 {c}^{2}  - 1.5d
3 0
2 years ago
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