Answer:
Using a scale of 2" means "will take the original and enlarge it to twice its size".
Thus, the resulting photocopy will be double the dimensions of the original.
Step-by-step explanation:
Answer:
The detailed work and solution can be found in the attachment
Step-by-step explanation:
Given:
A quadratic function has a line of symmetry positioned at x = –3.5 with one root located at –9.
To find:
The second root.
Solution:
It is understood that the line of symmetry splits the quadratic function's graph into two identical halves. Hence, both roots are equidistant from this line.
This implies that the line of symmetry passes through the midpoint of the two roots.
Let the other root be denoted as x.

Multiply both sides by 2.

Add 9 to both sides.


Consequently, the other zero of the quadratic function is concluded to be 2.
Answer:
graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x
Step-by-step explanation:
The deodorant starts to evaporate, indicating a mass reduction, thus 12% represents the decay rate. In exponential decay, the function's graphical representation adheres to the formula:

Where
signifies the starting quantity (
),
is the decay rate (
) and
denotes the time intervals, measured in days for this case. By inserting the given values into the formula:

Which aligns with the "graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x".
We start with the following information:
p = probability = 0.12<span>
n = total number of students = 39 </span>
x = number of left-handers = 5<span>
u = mean = p * n = 4.68
σ = standard deviation = √(n*p*(1-p)) = √(39 * 0.12 * 0.88) =
2.03</span>
Finding the z score:
z = (x – u) / σ
<span>
z = (5 – 4.68) / 2.03
</span>
z
= 0.1576 = 0.16
<span>
</span>Applying standard tables for z gives the p value as:
p value = 0.5636 = 56.36%
Consequently, there is a 56.36% probability.