Answer:
First off, we look for which circles are open or closed.
We start with an open interval since the circle on the left is open and end with a closed interval since the circle on the right is closed.
Domain is all x values, Range is all y values
The graph shows the continous function going from -3 to 1 on the x axis.
According to the circles, this means our domain will be (-3,1].
Now, the range doesn't care about if its closed or not. So we can say the graph is on the y axis from -4 and 0. This means the range is -4<y<0
I used different notations for both just incase you need to represent your answer differently :)
-3<x<1 & (-3,1] . Range is [-4,0]. 0>y>-4 looks correct as-well.
Answer:
See below ↓↓
Step-by-step explanation:
<u>Equation of line k</u>
- y = mx + b
- m = Δy/Δx (ratio of change in y to change in x) = 2/3
- b = 3 (as y-intercept is [0,3])
- ⇒ y = 2/3x + 3
<u />
<u>a. parallel line</u>
- For parallel lines, slope (m) remains the same, but the y-intercept (b) changes
- ⇒ <u>y = 2/3x + 1</u>
<u></u>
<u>b. perpendicular line</u>
- For perpendicular lines, the slope (m) is the negative reciprocal of the original line and the value of b stays the same [it can be any point as long as it intersects the line]
- ⇒ <u>y = -3/2x + 1</u>
we know that
1) Mailyn can eat 32 cookies in an hour
1 hour is equal to 60 minutes
<u>Find how cookies eats Mailyn in one minute</u>
by proportion
2) Juan needs 3 hours to eat 32 cookies
<u>Find how cookies eats Juan in one minute</u>
by proportion
<u>3) Find how long will it take them to eat 40 cookies together</u>
we know that
Maylin and Juan eats in one minute together ---------> (0.53+0.18)=0.71 cookies
so
by proportion
therefore
<u>the answer is</u>
Step-by-step explanation:
A Maclaurin series is a Taylor series that's centered at 0.
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) / n! xⁿ
If we substitute f⁽ⁿ⁾(0) = (n + 1)!:
f(x) = ∑ₙ₌₀°° (n + 1)! / n! xⁿ
f(x) = ∑ₙ₌₀°° (n + 1) xⁿ
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(n + 2) xⁿ⁺¹] / [(n + 1) xⁿ]│< 1
lim(n→∞)│(n + 2) x / (n + 1)│< 1
│x│< 1
R = 1
Answer:
Six squared=36
Step-by-step explanation:
Well, we know squared means 2
So...Think.
Six is not times 2. You might think that, but...
...It's actually multiplying 6 two times
6x6 is 36
You also can think of it as
6x(6 two times)
or 6x(3x2)
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