Answer:
multiply 3x-2(x+8)
Step-by-step explanation:
PEMDAS
also you must simplify both sides to solve this problem and that's the first step to simplifying this side (the other one is simplified)
N-1(-1/2) is the formula because the sequence is taking half of the previous number and changing its sign
Hi there!
Based on your options, I think we're going from the big figure to the small figure. 12/8 = 1 1/2
ANSWER:
D - 1.5
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
C) 65,535
Step-by-step explanation:
You can add up the 8 terms ...
3, 12, 48, 192, 768, 3072, 12288, 49152
to find their sum is 65535.
_____
<em>Estimating</em>
Knowing the last term (49152) allows you to make the correct choice, since the sum will be more than that and less than double that.
_____
<em>Using the formula</em>
You know the formula for the sum of a geometric sequence is ...
S = a1(r^n -1)/(r -1)
where a1 is the first term (3), r is the common ratio (4), and n is the number of terms (8).
Filling in the values, you find the sum is ...
S = 3(4^8 -1)/(4-1) = 4^8 -1 = 65535
Answer:
3. PR=51
4. FE=28
Step-by-step explanation:
3. since the two triangles are similar, set up a proportion:
x+8/3x-9=24/28
*cross multiply*:
28(x+8)=24(3x-9)
28x+224=72x-216
44x=440
x=20
to find PR:
PR=3x-9
PR=3(20)-9
PR=51
4. same here:
39/4x+2=42/5x-2
39(5x-2)=42(4x+2)
195x-78=168x+84
27x=162
x=6
to find FE:
FE=5x-2
FE=5(6)-2
FE=28
