Answer:
45 in
Step-by-step explanation:
This look like the branch of the basic pythagorean triplet.
3, 4, 5 is a fundamental triplet.
if you multiply all three numbers by 9, you will get:
27, 36, 45
X = 45 in
Hope this helps :)
Answer:
1461460
Step-by-step explanation:
From the question given, we obtained the following data:
a = 22
Last term = T6 = 1299078
Let us find the common ratio(r)
Tn = ar^(n-1)
T6 = ar^5
1299078 = 22r^5
Divide both side by 22
r^5 = 1299078/22
r^5 = 59049
Take the fifth root of both side
r = 5√ 59049
r = 9
Now we can find the sum of the 6th term as follows
Sn = a[(r^n) — 1] / (r —1)
S6 = 22[(9^6) — 1] / 9—1
S6 = 22[(9^6) — 1] / 9—1
S6 = 22[531441 — 1] / 8
S6 = 22[531440] /8
S6 = 22 x 66430
S6 = 1461460
Answer:
D. F(x) = (x +3)³ -2
Step-by-step explanation:
As with most multiple-choice math problems, you can try the different answers to see which is consistent with the information given in the problem. Here, that would mean you evaluate f(-3) to see if you get the value -2.
A. (-3+2)³ -3 = -4 ≠ -2
B. (-3 -3)³ -2 = -218 ≠ -2
C. (-3 -2)³ -3 = -128 ≠ -2
D. (-3 +3)³ -2 = -2 . . . . . . the correct choice
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You are probably expected to understand that F(x) has been translated left 3 units and down 2 units from G(x). (The marked inflection point gives you the clue you need.) The transformation that translation does this is:
F(x) = G(x -h) +k . . . . . G(x) translated by (h, k) units (right, up)
Translation left 3 and down 2 gives you (h, k) = (-3, -2), so ...
F(x) = G(x -(-3)) -2 = G(x +3) -2
F(x) = (x +3)³ -2
Answer:
Diagram D
Explanation:
1- let's get the base function:
We are given that:
f(6) = 9
f(7) = 10
f(8) = 11
f(9) = 12
From these givens, we can note that the function can be represented as follows:
f(x) = x + 3
2- let's get the inverse:
To get the inverse of a function, we will simply swap the x and y variable
This can be done as follows:
f(x) = x + 3
y = x + 3
Now, we swap:
x = y + 3
x - 3 = y + 3 - 3
y = x - 3
3- let's now get the values for the given x:
f(6) = 6 - 3 = 3
f(7) = 7 - 3 = 4
f(8) = 8 - 3 = 5
f(9) = 9 - 3 = 6
f(10) = 10 - 3 = 7
f(11) = 11 - 3 = 8
f(12) = 12 - 3 = 9
Comparing the calculated values with the given diagrams, we can note that the correct diagram is D
Hope this helps :)
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