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.
Answer:
Step-by-step explanation:
Dado que:
Um técnico em eletricidade recebeu um pacote que continha 12 chaves não identificadas, a probabilidade de que ele acertasse na primeira vez será:
= número de ensaios / número total de ensaios disponíveis
O técnico eletricista tem apenas uma tentativa
uma vez que existem 12 chaves não identificadas, o número total de testes disponíveis 12
∴
= 1/12
= 0.0833
= 0.0833 × 100
= 8.33%
THE ANSWER:
There would need to be at least 1,800 entries in order for them to meet their goal.
Step-by-step explanation:
To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.
75x - 25x
Then we can add the number of donations.
75x - 25x + 10,000
Then we can set it as greater than or equal to the goal number.
75x - 25x + 10,000 ≥ 100,000
Now we solve this using the order of operations.
75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms
50x + 10,000 ≥ 100,000 ------> Subtract 10,000
50x ≥ 90,000 -----> Divide by 50
~~~~~~~~~x ≥ 1,800~~~~~
Answer:
59% why
Step-by-step explanation:
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