Answer:
Q (2.5, -4)
Step-by-step explanation:
Let A (1, -5), C = (10, 1), find Q (x, y), so that AQ:QC = 1:5
AQ = (x - 1, y + 5)
QC = (10 - x, 1 - y)
AQ:QC = 1:5
so 5*AQ = QC
5(x - 1) = (10 - x)
5(y + 5) = 1 - y
Solve them:
5x - 5 = 10 - x
6x = 15
x = 15/6 = 2.5
5y + 25 = 1 - y
6y = -24
y = -24/6 = -4
Then answer is Q (2.5, -4)
Answer:
it means To raise a power to a power means to raise one exponent to another. Whether the exponents are real, imaginary, monomials or polynomials, to simplify these problems, all you have to do is multiply the exponents together. Hope this helps
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
Answer:
B. 49
Step-by-step explanation:
Q; 9x^2 - 12x + 4
I graphed this equation to check A, B, C, and D for a solution and only B had a solution. So, I believe the answer is 49.
Answer:
The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.
Step-by-step explanation:
The statement describes an arithmetic progression, which is defined by following formula:
(1)
Where:
- First element of the sequence.
- Progression rate.
- Index of the n-th element of the sequence.
- n-th element of the series.
If we know that
,
and
, then the progression rate is:


The set of elements of the series are described by
.
Lastly, if we know that
, then the 300th term of the sequence is:


And the next three terms of the sequence are:
n = 5


n = 6


n = 7


The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.