Which two numbers add up to -29 and multiply to 100?
-25 and -4
Rewrite the expression
<u>(x - 25)(x - 4)</u>
For something to be a function, each input (x value) can only have ONE output (y value)
If an input has multiple outputs, it is not a function.
so the last graph represents a function (parabola going down)
Answer:
Part 1) The unit rate is 
Part 2) A 56 ounce bag of pumpkin Seeds cost $14.00
Step-by-step explanation:
Part 1) What is the unit rate for the pumpkin seeds?
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
Let
y ----> the cost of pumpkin seeds in dollars
x ---> the weight in ounces
we have
For x=24 ounces, y=$6
Find the value of the constant of proportionality k

substitute the values

The unit rate is the same that the constant of proportionality k
therefore
The unit rate is

Part 2) How much would 56.
ounce bag of pumpkin seeds cost?
we know that
The linear equation is equal to

For x=56 ounces
substitute in the linear equation and solve for y

First you should write 2 3/4 as a decimal, 2.75 then multiply 2.75 by 2 to get 5.5. 5.5 equals 5 1/2.
Ms. Addison needs 5 1/2 cups of flour.
Answer:
<em>D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real number</em>s.
Step-by-step explanation:
Find the complete diagram attached
First we need to get the derivative of the functions
For the function f(x) = 5x - 6
Using the formula
If f(x) = axⁿ
f'(x) = naxⁿ⁻¹
For the function f(x) = 5x - 6
f'(x) = 1(5)x¹⁻¹
f'(x) = 5x⁰
f'(x) = 5
For the function f(x) =x²-2
f'(x) = 2x²⁻¹
f'(x) = 2x
For the function f(x) = 4x+10
f'(x) = 1(4)x¹⁻¹
f'(x) = 4x⁰
f'(x) = 4
Get the domain
The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.
Hence Option D is correct