Answer:
see below
Step-by-step explanation:
4 ^(3x-1)=3
Take the natural log of each side
ln(4 ^(3x-1))= ln (3)
We know that ln ( a^b) = b ln a
(3x-1) ln 4 = ln 3
Divide each side by ln 4
3x-1 = ln(3)/ (ln4)
Add 1 to each side
3x = ln(3)/ ln (4) +1
Divide by 3
x =1/3 [( ln 3)/ ln (4)] + 1/3
x = .792461
Answer:
y = -3
Step-by-step explanation:
When you graph it on a graphing calculator or on desmos, it appears to be at y = -3
1 pound ≈ 0.4536 kg.
3 pounds ≈ 3 * 0.4536 ≈ 1.3608 kg
Hence 3 pounds ≈ 1.3608 kg.
Answer:
The general equation following the pattern becomes is 7 + (n - 1)×2
Where, n = The figure number - 1
Step-by-step explanation:
The pattern in the question can be described as follows;
Figure 2 = (5 + 2) squares boxes = 7 squares boxes
Figure 3 = (5 + 2 + 2) squares boxes
Figure 4 = (5 + 2 + 2 + 2) squares boxes
Therefore, the number of squares boxes per figure, form an arithmetic progression (a + (n - 1)d) with the first term a = 7, the common difference d = 2, and the n = the nth term of the series, such that the general equation following the pattern becomes;
7 + (n - 1)×2.
A is the answer.
First, figure out all the coordinates for the points marked red( I Did this for all except first one, which was not on the right point)
They were:
-1,1
0,2
1,4
2,8
3,16.
Then, we must do trial and error for each of the options until we find one that fits perfectly. Luckily, the first option was right!
Hope this helps
