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g100num [7]
3 years ago
10

What is the standard form of (1-3i)(2+5i)

Mathematics
1 answer:
artcher [175]3 years ago
3 0

Answer:

17 - i

Step-by-step explanation:

<u>Step 1:  FOIL out</u>

(1 - 3i)(2 + 5i)

(2) + (1 * 5i) + (-3i * 2) + (-3i * 5i)

2 + 5i - 6i - 15i^2

2 - i + 15

<em>17 - i</em>

<em />

Answer: 17 - i

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The baker's at a bakery can make 160 bagels in 4 hours how many bagesl can they bake in 16 hours? What is that rate per hour. "E
weeeeeb [17]

Answer:

640 bagels

Rate: 40bagels/hour

Step-by-step explanation:

If the baker's at a bakery can make 160 bagels in 4 hours, then;

160 bagels = 4 hours

To calculate the amount the baker can bake in 16hours, we can write;

x bagels = 16hours

Divide both expressions

160/x = 4/16

160/x = 1/4

Cross multiply

x* 1= 160 * 4

x = 640

Hence the baker can bake 640 bagels in 16hours

To know the rate per hour, we can write;

x bagel = 1hr

Recall that; 160bagels = 4 hours

Cross multiply

x * 4 = 1 * 160

4x = 160

x = 160/4

x = 40

Hence the rate per hour is 40bagels/hour

5 0
3 years ago
Gelisa sets a goal of running between 32 and 35 miles this week. she ran 4 1/2 each morning, monday through friday. how many mil
9966 [12]
B- 11 miles
4.5 • 5 = 22.5
32- 22.5 = 9.5, a is not enough
35- 22.5 = 12.5, c & d are too high
5 0
4 years ago
Write the equation of the line passing through points (2,-2) and (1,0) in the slope intercept form​
Zinaida [17]

Answer:

y=-2x+2

Step-by-step explanation:

Just follow the slope-intercept form formula-

Formula: y= mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Feel free to ask if you have any questions, hope this helps!(:

7 0
3 years ago
2. What is the sample proportion of heads in your sample of 40? Report this value to your teacher.
Alexeev081 [22]

Answer:

\frac{18}{40}=0.45

Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.

Step-by-step explanation:

1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.

2) Here are the most common outcomes, as long as we continue on flipping coins.

\frac{18}{40}=0.45

If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5

This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails

S_{80}=0.503\\S_{120}=0.50

6 0
3 years ago
Find the inverse of f(x)= -x + 3
inna [77]
Let g the inverse function of f.

The most important property of g and f being inverses of each other, is that 

g(f(x))=x,      also f(g(x))=x

so, what one function 'does' to x, the other 'undoes' it.



Thus, we have:

f(g(x))=x      and alos   f(g(x))= -g(x)+3, from the rule


thus : 

-g(x)+3=x

-g(x)=x-3

g(x)=-x+3


check: f(g(x))=f(-x+3)=-(-x+3)+3=x-3+3=x


Answer: the inverse of f is g, such that g(x)=-x+3
4 0
3 years ago
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