Answer: Linear
The equation is y = 2x-5
Slope = 2
y intercept = -5
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Explanation:
Each time x goes up by 1, y increases by 2. This directly leads to a linear equation due to the same rate of change no matter where you are in the table.
The slope is rise/run = 2/1 = 2 because "y increases by 2 each time x increases by 1".
We could use the slope formula to see this. Pick on any two rows to plug in the coordinates. I'll use the last two rows
m = (y2-y1)/(x2-x1)
m = (3-1)/(4-3)
m = 2/1
m = 2
This confirms the slope is 2.
The positive slope means that the line goes uphill as you move from left to right.
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The y intercept is b = -5 because the y intercept always happens when x = 0. This applies to any function, whether it's linear or not.
Together with m = 2 as the slope and b = -5 as the y intercept, we go from y = mx+b to y = 2x-5 as our linear equation
As a way to check, plug in something like x = 1 to find that...
y = 2x-5
y = 2*1-5
y = 2-5
y = -3
The table shows that x = 1 and y = -3 pair up together in the same row, so that confirms x = 1. I'll let you verify the other x values.
The total amount that was raised for charity is £75.
<h3>What is the total amount raised?</h3>
Here is the sample space
1 2 3 4 5 6
Heads 1 4 9 16 25 36
Tails 1 8 27 64 125 216
Probability of getting a number greater than 30 = 4/12 = 1/3
1/3 x 450 = 150
Total value of people getting more than 30 : 150 x £1 = £150
Total amount paid = 50 x 450 = £225
Amount raised = £225 - 150 = £75
To learn more about probability, please check: brainly.com/question/13234031
#SPJ1
Answer:
114.
Step-by-step explanation:
- remove parenthesis
- multiply the numbers 6 x 3 + 18
18 + 4 + 2 x 3 x 15 + 2
multiply the numbers 2 x 3 x 15 + 90
18 + 4 + 2 + 90 + 2
add the numbers : 18 + 4 + 2 + 90 + 2
= 114!
<span>D. L.A. to Flagstaff, 465 miles; Flagstaff to Albuquerque, 345 miles
The answer above is correct.
810 - 120 = 690 ; 690 / 2 = 345 mi ( Flagstaff to Albuquerque )
810 - 345 = 465 mi ( L.A. to Flagstaff )
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