Answer:
12 x^4 + 18 x^3 - 9 x^2 thus D is the correct answer.
Step-by-step explanation:
Expand the following:
3 x^2 (4 x^2 + 6 x - 3)
3 x^2 (4 x^2 + 6 x - 3) = 3 x^2 (4 x^2) + 3 x^2 (6 x) + 3 x^2 (-3):
3 4 x^2 x^2 + 3 6 x^2 x - 3 3 x^2
3 (-3) = -9:
3 4 x^2 x^2 + 3 6 x^2 x + -9 x^2
3 x^2×6 x = 3 x^(2 + 1)×6:
3 4 x^2 x^2 + 3×6 x^(2 + 1) - 9 x^2
2 + 1 = 3:
3 4 x^2 x^2 + 3 6 x^3 - 9 x^2
3×6 = 18:
3 4 x^2 x^2 + 18 x^3 - 9 x^2
3 x^2×4 x^2 = 3 x^4×4:
3×4 x^4 + 18 x^3 - 9 x^2
3×4 = 12:
Answer: 12 x^4 + 18 x^3 - 9 x^2
Answer:
B.) 45 degrees
Step-by-step explanation:
Let s = the smaller one of the two.
Since they are consecutive, the second one is (s + 1)
Since they are natural numbers, they cannot be negative.
We know that s(s + 1) = s + (s + 1) + 155
So:
s(s + 1) = 2s + 156
s^2 + s = 2s + 156
s^2 - s - 156 = 0
(s - 13)(s + 12) = 0
From this, it looks like s can be either 13 or -12. But since it's a natural number, it cannot be negative. So, it is 13.
s was the smaller one. The larger one is s + 1 = 14
Check: 13*14=182=13+14+155
Problem 1
Answer:
- The square root of the <u> expression </u> of the <u> difference </u> of <u> x^2 </u> and 11.
- The <u> quotient </u> of <u> 2 </u> times a number and -1
- The <u> sum </u> of the <u> square root </u>of two times a number and 11.
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Explanation:
The term "difference" is the result of subtraction. We're subtracting the x^2 and 11. Then applying the square root to the result.
Question 2 has the blanks filled correctly.
For the last sentence, we have a sum of the terms 
and 11.
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Problem 2
Answer:
The value of an algebraic expression depends on its <u> variables </u>
- Substitute the known value for each variable.
- Simplify using the <u> order </u> of <u> operations </u>
- Use the work to answer any word problems related to the expression.
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Explanation:
The variables are placeholders for numbers
So for instance, saying x+5 is like saying "some unknown number plus 5".
We could replace it with something like x = 10 to get x+5 = 10+5 = 15
Once the variable is replaced, you use the order of operations PEMDAS (some books refer to it as BODMAS).
Answer:
(a) Disjoint
(b) Independent
(c) No
Explanation:
(a) Disjoint events are those events that are mutually exclusive or we can say that the two events can not occur at the same instant.
Thus in a single draw we can not get both yellow and green ball.
(b) Those events in which the probability of the occurrence of one event does not affect the probability of the happening of another event in any way.
Thus the two pieces drawn are from the infinite supply does not affect one another and hence are independent.
(c) No, since after one event has occurred the occurrence of the other one is not possible.
