The smallest natural number is 1. The largest natural number does not exists because there will always be one even larger. But if you are asking the number of all natural numbers or the size of natural number set then
is your answer.
Answer: The equation is y = 4x+3
Slope = 4
y intercept = 3
========================================================
Explanation:
Let's start off by finding the slope.
![A = (x_1,y_1) = (0,3) \text{ and } B = (x_2,y_2) = (4,19)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{19 - 3}{4 - 0}\\\\m = \frac{16}{4}\\\\m = 4\\\\](https://tex.z-dn.net/?f=A%20%3D%20%28x_1%2Cy_1%29%20%3D%20%280%2C3%29%20%5Ctext%7B%20and%20%7D%20B%20%3D%20%28x_2%2Cy_2%29%20%20%3D%20%284%2C19%29%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B19%20-%203%7D%7B4%20-%200%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B16%7D%7B4%7D%5C%5C%5C%5Cm%20%3D%204%5C%5C%5C%5C)
The slope is 4.
The y intercept is 3 because of the point (0,3)
We go from y = mx+b to y = 4x+3
m = slope
b = y intercept
---------------
Check:
Plug in x = 0 and we should get to y = 3
y = 4x+3
y = 4(0)+3
y = 0+3
y = 3
That works out. Now try x = 4. It should lead to y = 19
y = 4x+3
y = 4(4)+3
y = 16+3
y = 19
The answer is confirmed.
4.
The equation we have is:
![\frac{8}{5}a=-6](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B5%7Da%3D-6)
To solve for "a", we want to isolate it in one side.
For this. we can start by multiplying each side by 5. This will make the denominator to cancel out:
![\begin{gathered} 5\cdot\frac{8}{5}a=5\cdot(-6) \\ 8a=-30 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%205%5Ccdot%5Cfrac%7B8%7D%7B5%7Da%3D5%5Ccdot%28-6%29%20%5C%5C%208a%3D-30%20%5Cend%7Bgathered%7D)
Now, we can divide both sides by 8, which will cancel the coefficient 8 multiplying "a":
![\begin{gathered} \frac{8a}{8}=-\frac{30}{8} \\ a=-\frac{15}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B8a%7D%7B8%7D%3D-%5Cfrac%7B30%7D%7B8%7D%20%5C%5C%20a%3D-%5Cfrac%7B15%7D%7B4%7D%20%5Cend%7Bgathered%7D)
And that is the answer to 4.
Answer:
2.7 miles
Step-by-step explanation:
Answer:
13/6 is the missing fraction
Step-by-step explanation:
well consider the missing integer as x
then 5/2 -x=1/3
so, -x=1/3 -5/2
-x = -13/6
x= 13/6