Answer:
(5,3)
Step-by-step explanation:
I know this one
Answer:
Step-by-step explanation:
The function is f(x) = x²
<em>Transformation steps</em>
1. <u>Reflection across the x-axis:</u>
2. <u>Translation 3 units to the left:</u>
3. <u>Translation 4 units up:</u>
<u>The new function is:</u>
Correct choice is B
Here is the explanation.
For the general complex number (a + bi), its conjugate is (a - bi).
By definition, i² = -1.
Evaluate (a + bi)*(a - bi) to obtain
(a + bi)*(a - bi) = a² - abi + abi - b²i²
= a² - b²*(-1)
= a² + b²
This means that multiplying a complex number by its conjugate yields a real number.
For this reason, it is customary to make the denominator of a complex rational expression into a real number, by multiplying the denominator by its conjugate.
Of course, the numerator should also be multiplied by the same conjugate.
Example:
Simplify (2 - 3i)/(1 + 4i) into the form a + bi.
The denominator is (1 + 4i) and its conjugate is (1 - 4i).
Multiply the denominator by its conjugate to obtain
(1 + 4i)*(1 - 4i) =1² + 4² = 17.
Also, multiply the numerator by the same conjugate to obtain
(2 - 3i)*(1 - 4i) = 2 - 8i - 3i + (3i)*(4i)
= 2 - 11i + 12*i²
= 2 - 11i - 12
= -10 - 11i
Therefore
(2 - 3i)/(1 + 4i) = -(10 + 11i)/17
Answer:
(Choice A)
Juanita gets a strike next game.'
Step-by-step explanation:
Your question is obviously incomplete.
Complete question is:
Juanita and Nina are bowling together. The probability of Juanita getting a strike next game is 24%. The probability of Nina getting a strike next game is 0.17. Which of these events is more likely?
(Choice A)
Juanita gets a strike next game.'
(Choice B)
Nina gets a strike next game.
(Choice C)
Neither. Both events are equally likely.
Answer:
Probability of Juanita : P(J)= 24% => 0.24
probability of Nina getting a strike next game: P(N) = 0.17
As you can see 0.24 > 0.17 ----> P(J)>P(N)
Thus it can be concluded that Juanita gets a strike next game is more likely.
so, choice A
1x(37-1) = 36. and the rest of this paragraph is non sense to fill the minimum characters