whats janas age plus 5 is her sisters age. sister minus 5 is janas age.
Answer:
[4, 6]
Step-by-step explanation:
∑ₙ₌₁°° (x − 5)ⁿ / n²
Use ratio test.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(x − 5)ⁿ⁺¹ / (n+1)²] / [(x − 5)ⁿ / n²]│< 1
lim(n→∞)│[(x − 5) n² / (n+1)²│< 1
│x − 5│< 1
-1 < x − 5 < 1
4 < x < 6
If x = 4, ∑ₙ₌₁°° (4 − 5)ⁿ / n² = ∑ₙ₌₁°° (-1)ⁿ / n², which converges.
If x = 6, ∑ₙ₌₁°° (6 − 5)ⁿ / n² = ∑ₙ₌₁°° 1 / n², which converges.
So the interval of convergence is [4, 6].
Answer:
Height is 18 inches.
Base is 36 inches.
Step-by-step explanation:
Let the base of the triangular table top be x inches.
The height will be
x inches.
The area of the triangular table top is 324 inches²
Area of a triangle =
× Base × Height
342 inches² =
× x ×
x
= 324
Finding the square root on both sides gives;
= 18
Therefore x (the base) = 36 inches
And
(the height) = 18 inches.
Answer:
1/4
Step-by-step explanation:
Answer:


Step-by-step explanation:
Look at the second equation.
Add 6y to both sides:

Hence,

Substitute this into first equation:



Since y = -x,
