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Answer:
Step-by-step explanation:
We know that the point (-6, 1) belongs to the main function g(x)
The transformation
add 1 to the input variable (x) and subtract 5 to the output variable (y)
So the point in the graph of is
The point is:
The transformation
subtract two units from the input variable (x), multiply the output variable (y) by -2 and then add 4 units
So the point in the graph of is
The point is:
The transformation
Multiply the input variable (x) by 2 and then add two units
So the point in the graph of is
The point is:
The answer is 3 yards.
There are 3 feet in a yard, so if we divide 9 (the length of the rope in feet) by 3, then we get the amount of yards in the rope: 9/3=3.
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:
7.3 times 10 to the 8th equals 730000000
2.4 times 10 to the 3rd equals 2400
Step-by-step explanation:
