The slope intercept form for a line is y = mx + b.
↑ <span>↑
m is the slope of the line or how steep it is. b is where the line runs into the y axis at one point. x and y are the values you plug in when you have a specific point you want to use (x, y).
For the first picture, you can see that the line "intercepts" or collides with the y axis at 1. Thus we know the b value.
To find the slope, you just pick 2 points on the line and plug them into a little equation (try to memorize this equation, it helps to find slope):
m = (y</span>₂ - y₁)/(x₂ - x₁)
The two points we'll use are (1, 0) and (0, 1) since x goes through both of
those points. ↑ ↑ ↑ ↑
x₁ y₁ x₂ y<span>₂
m = (1 - 0)/(0 - 1)
m = 1 / -1
m = -1
This makes sense - since the slope is going downward, the slope is negative.
So the equation is:
y = -x + 1
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For the second problem, We can see the line intercepts the y-axis at -5. That is our b value.
The the slope of this line is 0 since it is not going up or down, so that is our m value:
y = 0(x) - 5 = -5
The equation of the line is y = -5</span>
Answer:
4,644 calories
Step-by-step explanation:
The computation of the number of calories to be burned is shown below
r = rate = 8.6 cal/min
= 8.6 cal ÷ [(1 ÷ 60)hr]
= 516 cal/hr
Now
Calories consumed in 9 hours is
= (516 cal/hr) × (9 hrs)
= 4,644 calories
Answer:
19 nails
Step-by-step explanation:
Let's first determine the z-score by using the formula:
Where x=5.03, μ=5, σ=0.03 and so:
We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%. This means that 84.13% of the nails are less than or equal to 5.03 inches long. Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587. This means that 15.87% of the 120 nails are greater than 5.03 inches long.
Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:
And so 19 out of the 120 nails are greater than 5.03 inches long.
Answer:
Y=-1
Step-by-step explanation:
Well i pulled up to ann old amigos house scowering out for some drugs when i stumbled upon this math question. I used my smarts I learned while hopping walls to get my freedome to give you the answer that you have now obtained. Your welcome - Senior Altuvai
