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svp [43]
3 years ago
5

If your roots are -3 and -1, your factors will be (x+3)(x+1), yes? But if your roots are positive, like 3 and 1, would it still

be (x+3)(x+1), or would you then make it negative?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

Determine the number of possible positive and negative real roots of the equation:

x - 4x + 5x² + 9x² + 2x 8

a 2 or 0 negative roots; 3 or 1 positive roots

b. 5, 3, or 1 negative roots;

4, 2 or 0 positive roots

c.

d.

2 or 1 neative roots; 3 or 2 positive roots

3 or 1 negative roots; 2 or 0 positive roots

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Compare the two functions in the table. Will the value of function y = 2x eventually exceed the value of function y = x10?
Andrew [12]
First we rewrite the functions:
 y = 2x
 y = x ^ 10
We note that the second function always has values of y greater than the first function. However, there is a value of x for which the first function is greater.
 For x = 1 we have:
 y = 2 (1) = 2
 y = (1) ^ 10 = 1
 We note that:
 2> 1
 Answer: 
 Yes, the value of function y = 2x eventually exceed the value of function y = x ^ 10.
5 0
3 years ago
Read 2 more answers
A poster is to have a total area of
Neko [114]

Answer:

Dimensions of printed area

w = 8.95 cm

h = 13.44 cm

A(max) = 120.28 cm²

Step-by-step explanation:

Lets call  " x "  and  "y" dimensions of the poster area  ( wide and height respectively) . Then

A(t)  =  180 cm²  = x*y      y  =  180/ x

And the dimensions of printed area is

A(p) = ( x - 2 ) * ( y - 3 ) then  as y  = 180/x we make A function of x only so

A(x)  =  ( x - 2 ) * ( 180/x  - 3 )     ⇒  A(x)  = 180 - 3x - 360/x +6

A(x)  = - 3x  - 360 /x + 186

Taking derivatives on both sides of the equation we get:

A´(x)  = -3  + 360/ x²  

A´(x)  = 0    -3  + 360/ x²  = 0     -3x²  +  360  = 0

x²  = 120       ⇒   x = √120       x  =  10.95 cm

And  y  =  180 / 10.95 ⇒         y  =  16.44 cm

Then x and y are the dimensions of the poster then according to problem statement

w of printed area is    x - 2  =  10.95 - 2   =  8.95 cm

and  h  of printed area is  y - 3  = 16.44 - 3  = 13.44 cm

And the largest printed area is  w * h  = ( 8.95)*(13.44)

A(max) = 120.28 cm²

   

 

7 0
3 years ago
Reflection over the y-axis followed by a horizontal translation 1 unit left on the equation f(x)=x ​
aleksley [76]

Answer:

f(x) = -x -4 or f(x) = (-x)-4

Step-by-step explanation:

Let the graph of g be a translation of 4 units down followed by a reflection in the y-axis of the graph of f(x)=x. Write a rule for g.

Transformations can be found using this general formula: f(x) = a(bx-h)+k

For this question, we want a translation down as well as a reflection.

The two values we need to use are for k, a vertical translation, and b, a reflection over the y-axis.

Since we are translating down 4 units, k = -4

Since we are reflecting across the y-axis, b = -1

So, f(x)=(-x)-4

or

f(x)= -x -4

6 0
2 years ago
Omari types 300 words in 6 minutes. How many words does he type in 2 minutes?<br> In 1 minute?
Alchen [17]

Answer:

50 words per minute.

100 words per 2 minutes.

Step-by-step explanation:

Hope this helps!

4 0
2 years ago
Use the distributive property to simplify -5(-2f-6)
Angelina_Jolie [31]

-5(-2f-6)

 distribute by multiplying -5 by everything inside the parenthesis

-5 * -2f = 10f

-5 *-6 = 30

so you get 10f+30

4 0
3 years ago
Read 2 more answers
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