Answer:
Exact Form: z = 0, -2/25
Decimal Form: 0, -0.08
Step-by-step explanation:
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The last step is to solve for z
Given:

From the function above, there was a horizonal stretch.
using the transformation rule:

Therefore, we can say that there is a horizontal shift of the graph to the right.
ANSWER:
B. The graph of the function g(s) is a horizontal shift of the graph of the function to the right.
Answer:
The Equation which shows the equality is 53 = 2 h + 5 ,
The age of Sunny's house is 24 years old
Step-by-step explanation:
Given as ;
The age of the house of Chen's is 53 years old
Let the age of of the house of sunny = h years old
So, according to question
Chen's house age is 5 years more than twice the age of sunny's house
I.e Chen's house age = 2 × sunny's house age + 5
Or, 53 = 2 × h + 5
or, 2 × h = 53 - 5
so . 2 × h = 48
∴ h =
= 24 years
Hence The Equation which shows the equality is 53 = 2 h + 5 , And The age of Sunny's house is 24 years old . Answer
A₅ = 1/16 and r= 1/4
Let see how to build up this formula that is going to give that term of rank n
1st term =a₁ = To be calculated
1st a₁ = a₁ x r°
2nd a₂ = a₁ x r¹
3rd a₃ = a₁ x r²
4th a₄ = a₁ x r³
5th a₅ = a₁ x r⁴
.......................
.......................
nth : a(n) = a₁ x r⁽ⁿ-¹)
Note when that the subscript of a is the same as the exponent mines 1
We know the ratio r =1/4 & the fifth term, a₅ =1/16 (given). Now let's apply the formula to calculate the unknown a₁.
a(n) = a₁ x r⁽ⁿ-¹) ==>a₅ = a₁ x (1/4)⁽⁵⁺¹⁾ ===> 1/16 = a₁ x (1/4)⁴
1/167 = a₁ (1/256) ==> a₁ =16 & the formula becomes
a₅ = 16(1/4)⁴