Tn=n²+3
from 4 to 7....the difference is 3, then from 7 to 12 the difference is 5 and from 12 to 19 the difference is 7
therefore we constantly add 2 to the difference
12 cookies= 1 dozen.
12*4 (dozens) =48
48/ 4= 12
12 cookies is a 1/4 or 25% of the whole amount of cookies.
48- 12= 36
He brings 36 cookies to school.
Hello there!
Let's use foil.
First: 4x * 2x = 8x^2
Outside: 4x * -9 = -36x
Inside: -7 * 2x = -14x
Last: -7 * -9 = 63
Now, let's combine these.
8x^2 - 36x - 14x + 63
Finally, we can simplify this
8x - 50x + 63
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
Step-by-step expla3
x
−
2
y
<
10
Solve for y
.
Tap for more steps...
y
>
−
5+
3
x
2
Find the slope and the y-intercept for the boundary line.
Tap for more steps...
Slope:
3
2
y-intercept:
(
0
,
−
5
)
Graph a dashed line, then shade the area above the boundary line since
y
is greater than
−
5
+
3
x
2
.
y
>
−
5
+3
x2
Let's start with our parent function:
f(x) = sin x
One cycle on this graph occurs between 0 and 2π. Therefore, our b-value is one.
There is no vertical shift up. The sinusoidal axis is along y = 0.
The wave is not inverted, it starts at the origin and rises on both the y and x axis. Thus there is no negative value before the function.
The amplitude of the wave is 3. A normal sine wave rises to a maximum of 1, but this is multiplied by 3.
f(x) = 3 sin x
There are an infinite amount of equations that could be used to represent this graph, but this is perhaps the most intuitive.
