Answer:
Step-by-step explanation:
Y = x² - 2x + 5
x = -2
y = -2² -2(-2) + 5
y = 4 + 4 + 5 = 13
x = -1
y = -1² -2(-1) + 5
y = 1 + 2 + 5 = 8
x = 1
y = 1² -2(1) + 5
y = 1 - 2 + 5 = 4
x = 3
y = 3² -2(3) + 5
y = 9 - 6 + 5 = 8
x = 6
y = 6² -2(6) + 5
y = 36 - 12 + 5 = 29
Answer:
97, 98
Step-by-step explanation:
a = first number
a + 1 = consecutive number
then:
a + a+1 = 195
2a + 1 = 195
2a = 195 - 1
2a = 194
a = 194/2
a = 97
a + 1 = 98
Check:
97 + 98 = 195
Ans: 0.
2/3 = 0.666......
so the whole number is 0.
Answer:
30 feet converted into yards per minute would come out to 600 yards per minute
Step-by-step explanation:
multiply speed value by 20
30x20=600
Hope this helped :)
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.
