MATHEMATICS HIGH SCHOOL

Evaluate x²-6x when x=3-i.

Answers

Answer 1
Answer:

Answer:

10

Step-by-step explanation:

We are going to substitute x = 3 - i into the expression x² - 6x

* Remember than i² = (√-1)² = -1. so when we multiply and get i² we're going to transform it into -1.*

⇒ x^2-6x = (3 - i)^2 - 6 (3-i) = 9 - 6i+i^2 -18+6i\n=9 - 6i-1-18+6i\n=-10

Thus, x² - 6x = 10 when x = 3-i

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Sara has 15 apples and 12 oranges. How many pieces of fruit does she have?

Answers

27 pieces o' fruit!!!! 
15 + 12 = 27

 
15apples 12oranges
15 + 12 = 27 apples

Points Y and Z are the same distance from point X on a number line. The coordinate of point X is 3 and the coordinate of point Y is –2.What is the coordinate of point Z

______

Answers

Coordinate of point Z is 8. That is because the distance from point X to point Y is 3-(-2)=3+2=5, and same is from point X to point Z: 3+5=8. So the answer is Z=8.

You average 55 miles per hour while driving to a relative's house. On the return trip, you average 50 miles per hour because of bad weather. The total driving time is 5 hours and 15 minutes. How long does each trip take?

Answers

We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.

How long does each trip take?

Remember the relation:

Distance = Speed*Time.

Here the total distance of the trip is 55mi + 50mi = 105mi

And the total time is 5 hours and 15 minutes, remember that:

60 min = 1 hour

Then; 15 min = 0.25 hours.

So the total time is 5.25 hours, with that we conclude that the average speed is:

S = 105mi/5.25 h = 20 mi/h

The first trip is 55 miles long, then the time in which it is travelled is:

T = (55 mi)/(20 mi/h) = 2.75 hours

The second trip is 50 miles long, then:

T' = (50mi)/(20 mi/h) = 2.5 hours.

We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.

If you want to learn more about average speed:

brainly.com/question/4931057

#SPJ1

The maximum weight allowed per car on The Wildcat carnival ride is 221 pounds. Your friend weighs 60 pounds. To be able to ride in a car together, how much can you weigh? Write and solve an inequality.x – 60 inequality-lessthanorequalto 221; at most 60 pounds
x + 60 inequality-lessthanorequalto 221; at most 161 pounds
x + 161 inequality-lessthanorequalto 221; at most 60 pounds
x + 60 inequality-lessthanorequalto 161; at most 221 pounds

Answers

161 + 60 inequality-lessthanorequalto 221; at most 161 pounds

221 - 60 =161

Answer:

The answer would be 161

Step-by-step explanation:

D

point v is located at (-2,6) on the coordinate plane. Point V is reflected over the y-axis to create point V Poinr v is then reflected over the x axis to create point V What ordered pair describes the location of V

Answers

Shouldn’t it be (2,-6), might be wrong. All points can be Point V, else they’ll be the same (I’m in geo only).

What is the absolute value of -3?


3
- 1/3
-3
1/3

Answers

The absolute value of -3 is 3 and -3 so both would be right
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