Answer:
Step-by-step explanation:
1) 5xy - xy + 2x - 13x + 10xy - 8x =<u> 5xy - xy + 10xy</u> +<u>2x - 13x - 8x</u>
Combine like terms
= (5 -1 +10)xy + (2-13-8)x
= 14xy + (-19x)
= 14xy - 19x
2) -6c - (-6c) - (+6c) = -6c + 6c - 6c
= (- 6 + 6 - 6)c
= -6c
3) 0x - 22x - 4(2x) = 0x - 22x - 8x = -30x
Answer:
Option A, Left by 4 units
Step-by-step explanation:
<u>Step 1: Convert g(x) to a function square</u>
We currently have g(x) in this order: 
However, we want g(x) to be in this order: 
The first thing we have to do is to factor it out:
<u>Step 2: Now we can see which way we need to move it</u>
The original form is: 
Since the - has changed to a +, that means that we moved -4 spaces down the x-axis. This means that we move left by 4 units.
Answer: Option A, Left by 4 units
<em>Look at the graphs below to make sure:</em>
Answer:
Since b^2 -4ac = 256 we have 2 real distinct root roots
Step-by-step explanation:
4x^2+12x=7
We need to subtract 7 to get it in the proper form
4x^2+12x-7=7-7
4x^2+12x-7=0
The discriminant is b^2 -4ac
when the equation is ax^2 +bx+c
so a =4 b=12 and c=-7
(12)^2 - 4(4)(-7)
144 +112
256
If b^2 -4ac > 0 we have 2 real distinct roots
If b^2 -4ac = 0 we have one real root
If b^2 -4ac < 0 we have two complex root
Since b^2 -4ac = 256 we have 2 real distinct root roots
Each of the answers given at the right talks about the fourth month. So let's compare each of the fourth month's profits.
When the month t = 4 in Company B, the company made 10 hundred (or 1000) dollars in profits.
When the month t = 4 in Company A, we evaluate the function at t = 4. To do that we put t = 4 into the function.
P(4) = 1.8(1.4)⁴
P(4) = 6.91488
Thus the company made 691.488 dollars of profit. So during the 4th month, Company B made more than A.
Each of the answers also talks about year end profits, which would be after 12 months. The function for company B is linear whereas it is exponential for A. An exponential function will grow faster in A and have higher maximum values. We can conclude that year end profits for A will be higher.
We put the statements together - that B makes in the 4th month but at year's end A will make more.
Thus, the third box is the best answer.
Square root of three- 1.73205
Square root of five- 2.23607
