Answer:
Below.
Step-by-step explanation:
You can use any 4 x values, so we could have:
- 2 0 2 4
Now find the corresponding y values by substitution in the equation:
For x = -2, y = 1/2 *-2 + 2 = 1.
For x = 0, y = 1/2 * 0 + 2 = 2.
For x = 2 , y = 1/2* 2 + 2 = 3.
For x = 4 , y = 1/2 * 4 + 2 = 4.
So the table is:
-2 0 2 4
1 2 3 4
You then plot the points (-2, 1), (0, 2), (2, 3) AND (4, 4) on the grid and draw a line through them The graph will be a straight line.
<span>To do this you need to multiple 1,024 by 1,000,000 to get 1,024,000,000 and then convert it to scientific notation. For that you need to know how many places there are after the first number. In this case it is 9. This will be 1.024 x 10^9. You have to remember that it is to the power of however many numbers are after the first. So even though we show 3 digits after the . we still have to include those in the power.</span>
Answers and Step-by-step explanations:
9-18.
a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.
Then, we can just solve for x by subtracting 30 and 115 from both sides:
x = 180 - 115 - 30 = 35 degrees
b) Again all three angles should add up to 180, so:
x + x + x = 180 ⇒ 3x = 180 ⇒ x = 180/3 = 60 degrees
9-19.
a) These angles add up to 180:
2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50
2x = 50 * 2 = 100
The missing angles are 100 degrees and 50 degrees.
b) Again, these add up to 180:
x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40
x + 10 = 40 + 10 = 50
The missing angles are 50 degrees and 40 degrees.
Hope this helps!
Answer:
D) complimentary
Step-by-step explanation:
complimentary angles add up to 90 degrees
Answer:
-$2.32
Step-by-step explanation:
Give that
The selling price per ticket is $9
And the number of tickets sold is 500
So,
There is one grand prize, three $300 second prize, and eleven $40 third prizes
We need to find out the expected value of the profit
= 4 + 1.8 + 0.88
= 6.68
Now the expected profit is
= $6.68 - $9
= -$2.32
