Answer:
y=8x-67
Step-by-step explanation:
So the question is what is the equation for the following two coordinate points?
Well to start off what is the formula? The formula is called the linear equation. Which is y=mx+b. What does these letters or "variables" mean or represent?! Welp, m stands for the slope, which is "Δy over Δx." Some people call say "the change of y over x." I call it the rise over run. So it is saying y over x. The b in the linear equation is the y-intercept. The y-intercept is when the line crosses the y-axis.
With that being said, let's find the slope. But how? Well with the Δy over Δx. The formula is y₂-y₁ over x₂-x₁. With the two coordinate points we can label them.
y₂=5
y₁=(-11)
x₂=9
x₁= 7
Now let set it up into the equation of y over x
Slope = <u> 5- (-11) </u> = <u> 5 + 11 </u> = <u> 16 </u> = 8
9-7 9-7 2
So we now have the slope! Which is 8! So put that into the linear equation!
y=8x+b
Next, we need to find b, the y-intercept! How do we do that well, we can figure it out by one of the coordinate points! Let use the (7, -11) point for example! Remember, x= 7 and y= (-11)
(-11) = 8(7) + b
(-11) = 56 + b
<u>-56 -56</u>
-67 = b
We now have b, which is negative 67! So we need to put all the information we have found into the linear equation!
y=8x-67
Numerators will be equal after the multiplication.
Answer:
P(2): 1/5
P(4): 1/5
P(odd number): 3/5
P(whole number): 5/5
P(6): 0/5
P(2 or 3): 2/5
Step-by-step explanation:
There are 5 <em>equal </em>sections in this circle. So, the probability to land in each section is 1/5.
The odd numbers are 1, 3, and 5. Since each section is 1/5, you add
1/5 + 1/5 + 1/5 = 3/5. That is the probability that you will land in any odd number.
Because all the numbers listed are whole numbers, no matter where the spinner lands it will be a whole number. So, the probability is 5/5 for whole numbers.
Since 6 is not a section, it's probability will be 0/5 (or you can just put 0).
"Or" means you add the two probabilities. Add the probability of landing on 3 (which is 1/5) to the probability of landing on 2 (which is also 1/5). So, you get 2/5.
Answer:
2=2
Step-by-step
Y=mx+b
2=9(0)+2
9 x 0=0
2=2
I hope I got it correct and helped you.
ANSWER
b=1, c=81, and d=9.
EXPLANATION
The given function is:

This function is the same as:

To find the inverse of this function, we interchange x and y.

Solve for y:

Take square root of both sides:


Hence,
b=1, c=81, and d=9.