Step-by-step explanation:
this sequence is geometric not arithmetic
HOw we know that ??
when we get a common difference that must Be equal
d=6-2=4 not equal to d=18-6=12
So it is not arithmetic
but when we get the common ratio that also must be equal
r=6/2=18/6=54/18=3 equal
So it is geometric
By using this equation:
a(n)=a(1)*r^(n-1)
and we have a(1)=2 , r=3
<u>Explicit rule:</u> a(n)=2*(3)^(n-1)
<u>Recursive rule:</u> a(n)= r * a(n-1)
a(n-1) ⇒ priviuse term
SO: a(n)= 3 * a(n-1)
For example:
a(3)= 3 * 6 =18
<em>I really hope this helps <3</em>
Step-by-step explanation:
To find the average speed, you divide miles by hours.
27/3
So the average speed in miles per hour is 9.
Hope it helps!
Answer: £90
Step-by-step explanation:
Pip and Sara get some money. They share it in the ratio 5 : 4.
Pip gets £50 so what did Sara get:
Use direct proportion:
5 : 4
50 : x
5x = 200
x = 200/5
x = £40
Pip got £50 and Sara got £40.
Together they got:
= 50 + 40
= £90
.6k+.9=1.6
.6k=.7
k=7/6= 1 1/6
k= 1 1/6
Hope this helps.
F(x) = a(x-h)²<span> + k
</span><span><u>Given that the vertex is (-3 -6):</u>
</span>f(x) = a(x + 3)² -6
<span>
<u>Given that it passes through (0.0), find a:</u>
a(0 + 3)</span>² - 6 = 0
<span>
9a - 6 = 0
9a = 6
a = 6/9 =2/3
<u>So the equation is :</u>
</span>f(x) = 2/3(x + 3)² -6
<span>
<u>Write the equation in standard form:</u>
</span>f(x) = 2/3(x² + 6x + 9) - 6
f(x) = 2/3x² + 4x + 6 - 6
f(x) = 2/3x² + 4x
<span>
Answer: </span>f(x) = 2/3x² + 4x<span>
</span>
