Equation: 4x + x = 40
X is the number of shells Cameron collected
Answer: Mandy collected 32 Cameron collected 8
Answer:
B.) f(x) = 3(4)x − 1
Step-by-step explanation:
A) f(x) = 12(4)x
B.) f(x) = 3(4)x − 1
C.) f(x) = 4(12)x
D.) f(x) = 4(3)x − 1
Given:
f(x+1) = 4f(x)
f(2)=12
f(2) = 12
f(3) = 4f(2) = 4 * 12 = 48
f(3)=48 and f(2)=12
From f(3)=48 and f(2)=12
r=48/12
=4
r=common ratio
Recall,
f(2)=12=ar
r=4
f(2)=ar=12
a*4=12
a=12/4
a=3
an=ar^(n-1)
For x term
an=3*4(x-1)
B.) f(x) = 3(4)x − 1
Answer:
√3/2 or 0.866
Step-by-step explanation:
Use special triangles. (See attachment)
The cosine ratio is adjacent ÷ hypotenuse.
cos30° = √3 ÷ 2 = √3/2
As a decimal, cos30° ≈ 0.866
Remember all the primary trig ratios with the acronym SohCahToa.
"o" = opposite
"a" = adjacent
"h" = hypotenuse
S, C and T are sin, cos, tan
Let's use the "elimination by addition/subtraction" method to solve this system for x and y.
<span> -8x=72-16y
4x=-92+16y <= Mult. all 3 terms by 2: 8x = - 184 + 32y
Now combine the following, column by column:
</span><span> -8x= 72-16y
</span>8x = - 184 + 32y
-----------------------
0 = -112 + 16y. Solving for y, 16y = 112, and y = 7.
Now subst. 7 for y in either of the original equations and calculate x:
<span>4x=-92+16(7) => 4x = -92 + 112 = 20. Then x = 5.
Solution is 5, -7 (or, better written) (5, - 7).</span>
So, an example of this situation would be 3³÷3². When you divide like this, you simply would subtract 2 from 3 and that would be the new exponent. In this case, the exponent would be 1, so the expression is actually equal to whatever the positive number is. In another way, if you have 3×3×3 and you divide it by 3×3, you would have one three left, so that's your answer. Hope this helps!
