B. is true. 15·(–5) > 23·(–12).
15·(-5)=-75.
23·(-12)=-276.
-75 > -276
The real part of the result is the product of the real parts of the factors and the product of the imaginary parts:
a = 15*6 - (-4)(-3) = 90 -12 = 78
_____
You can treat this the same as any other product of binomials except that i² = -1.
... (15 -4i)(6 -3i) = 15(6 -3i) -4i(6 -3i) = 15·6 -15·3i -4·6i +4·3i²
... = 90 -45i -24i +12i² = (90 -12) -69i = 78 -69i
Answer:
y = -3
Step-by-step explanation:
{y = x/2 - 4
y = 1 - 2 x
Substitute y = x/2 - 4 into the second equation:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
In the second equation, look to solve for x:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
Add 2 x + 4 to both sides:
{y = x/2 - 4
(5 x)/2 = 5
Multiply both sides by 2/5:
{y = x/2 - 4
x = 2
Substitute x = 2 into the first equation:
{y = -3
x = 2
Collect results in alphabetical order:
Answer:
{x = 2
y = -3
2 of the 8 slices of pie A were sold (2/8)
3 of the 6 slices of pie B were sold (3/6)
Both of these fractions can be simplified
2/8 --> 1/4
3/6 --> 1/2
In order to add these two fractions, they must have a common denominator. This can be accomplished by multiplying the second fraction by 2
1/2 --> 2/4
Now we can add the two
1/4 + 2/4 = 3/4
Therefore 3/4 of the pie has been sold. In order to find out how much remains, we must subtract the amount that has been sold from the original amount of pie (2)
2 - 3/4 = 1 1/4 = 1.25
The tables shows that the relative frequencies for each number are very similar 0.19, 0.20 and 0.21.
That drives to tell that the outcomes appear to be equally like.
That means that the probabilities are uniform, so the answer is:
<span>The
outcomes appear to be equally likely, so a uniform probability model is
a good model to repersent the probabilities in Tyra's experiment.</span>
