Answer:
1 1/3
Step-by-step explanation:
Answer:
89
Step-by-step explanation:
92 - 3 =89
subtract smallest from largest
Answer:
t = 8/9
Step-by-step explanation:
There are many possible solutions that could be expressed as equivalent to the equation 10t - 4t + 3t = 8. With that being said, here is a simplified form, solved for t.
10t - 4t + 3t = 8
6t + 3t = 8
9t = 8
t = 8/9
Each of these form's is an equivalent equation to the one written by Mrs. McAlister.
If you can provide the table of student answers, we could answer which students were correct or wrong. Without the table, we can only guess.
Cheers.
We have been given a function
. We are asked to find the amplitude, period and phase shift of the function
We can see that our given function is in form
, where,
= Amplitude.
Period = 
C = Horizontal shift,
D = Vertical shift.
We can see that value of a is 1, therefore, the amplitude of given function would be 1.
We can see that B is equal to 8, so we will get:

Therefore, the period of given function is
.
Since the value of C is 1, therefore, horizontal shift is 1.
Since the value of D is 2, therefore, vertical shift would be 2.
Answer:
Step-by-step explanation:
You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.
You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3
You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and
a^3 - b^3 = (a-b)(a^2 + ab + b^2)
If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.