Answer:
Step-by-step explanation:
I learned this easy way to complete the sqare in the fastest way possible
First you want to get it to x^2. So the first thing you would do is divide the entire equation by 2 to get 2(x^2 -5/2x +3/2). then you do one half of b or in this case -5/2. That would make -5/4. you would put this into the factor.
2( x -5/4 + ) ( x -5/4 - )
Then you square that number (-5/4)
That makes 25/16. you take that number and subtract the last number or the constant, c to make 1/16. now to finish it up you square root that number. the squre root of 1/16 is 1/4. then you put that into the last part of the factor.
2( x -5/4 + 1/4) ( x -5/4 - 1/4)
Then you simplify
(x-1) 2(x-3/2)
(x-1) (2x-3)
now to make sure I am correct, I will re-multiply it out
2x^2 -5x + 3
Answer:
Option A is the correct choice.
Step-by-step explanation:
Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.
We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.
Further, the company plan to make $300. We can represent this information as:
We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:
Therefore, our desired system of equation will be:
Answer:
Answer:
Step-by-step explanation:
The manufacturer requires that the weight differs from 20 oz in at most 0.4 oz, therefore we can write this difference (which can be either above or below 20 oz, to be smaller than or equal to 0.4 oz.
The weight can be:
1) smaller than or equal to 20 oz + 0.4 oz: then
2) larger than or equal to 20 oz - 0.4 oz: then
and which combined, can be written as a double inequality;
This double condition can also be written using the absolute value symbol as:
Step-by-step explanation:
Answer: Option D
Step-by-step explanation:
The equation of the line, by definition, has the following form:
y=mx+b
Where m is the slope and b is the y-intercept
As you can see in the graph, the line intercept the y-axis at 2, therefore b=2.
Now, to find the slope, choose any point of the line and solve for m:
Point (1,1)
1=m(1)+2
-1=m
Then, the equation is:
y=-x+2
A. is D=C+26
B is no
C. is <span>because in each age difference, it is a 26 year age difference. SO you would add 26 to 18, which would give you 44 year old. </span>
