Answer:
The ages of the four siblings are: 5, 7, 9 and 11 years old.
Step-by-step explanation:
The computation of the age of the four siblings is shown below:
Given that
n = 4
a1 =? a2 =? a3 =? a4 =?
a4 = a1 + 6 years
S4 = 32
Based on the above information
As we know that
Sn = (a1 + a4) × n ÷ 2
S4 = (a1 + a4) × 4 ÷ 2
32 = (a1 + a1 +6) × 2
16 = 2a1 + 6
2a1 = 10
a1 = 10 ÷ 2
= 5
So, a4 = a1 +6
= 5 +6
= 11
a4 = a1 + (4-1) × d
11 = 5 + 3 × d
d = 6 ÷ 3
= 2
So,
a2 = a1 + d
= 5 + 2
= 7
a3 = a2 + d
= 7 + 2
= 9
Hence, The ages of the four siblings are: 5, 7, 9 and 11 years old.
Answer:
Domain {x : x > 1}
Range {y : y ∈ R}
Vertical asymptote x = 0
x-intercept (1, 0)
End behavior consistent
Graph attached down
Step-by-step explanation:
Let us study the equation:
∵ y = log(x)
→ It is a logarithmic function, so no negative values for x
∴ Its domain is {x : x > 1}
∴ Its range is {y : y ∈ R}, where R is the set of the real numbers
→ An asymptote is a line that a curve approaches, but never touches
∵ x can not be zero
∴ It has a vertical asymptote whose equation is x = 0
→ x-intercept means values of x at y = 0, y-intercept means
values of y at x = 0
∵ x can not be zero
∴ There is no y-intercept
∵ y can be zero
∴ The x-intercept is (1, 0)
→ The end behavior of the parent function is consistent.
As x approaches infinity, the y-values slowly get larger,
approaching infinity
∵ y = log(x) is a parent function
∴ The end behavior is consistent
→ The graph is attached down
In grade points 128 or 150 would be about 85.33%
If its a math problem, then its 192.
Answer:
He can do 13 push ups in one
Step-by-step explanation:
If he can do 65 in 5 and you have to find for one its like finding the unit rate.
So you have to divide the 65 he can do in 5 by 5 so 65÷5
Once you do this you'll get 13 which is how much he does in one
9514 1404 393
Answer:
26,244
Step-by-step explanation:
The sequence is geometric with a common ratio of -3. The general term is ...
an = (a1)r^(n-1)
The first term is 4, so we have ...
an = 4·(-3)^(n-1)
For n=9, we find the 9th term to be ...
a9 = 4·(-3)^(9-1) = 4·3^8
a9 = 26,244
_____
<em>Additional comment</em>
When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.
