- Quadratic Formula:
, with a = x^2 coefficient, b = x coefficient, and c = constant
With our equation, plug in the values:

Next, solve the exponent and multiplications:

Next, solve the subtraction:

Next, factor out i (i = √-1):

Next, solve the square root:

Lastly, divide and <u>your answer is:</u>

We know the workers can unpack 48 books in 2 minutes, so how many minutes for 200?
Answer:
A. The explanatory variable is the number of items viewed. This explanatory variable is quantitative.
Step-by-step explanation:
The variable that we can change is called the Explanatory Variable.
The Response variable depends upon the explanatory variable, as we change the value of the explanatory variable the value of the response variable is also get changed.
When the data is in the form of numeric, it is called quantitative.
When the data is not in the numeric form, it is called qualitative.
Here, we have to determine which web page design is better and it depends on the number of the item viewed by a visitor to that site.
Thus, the Explanatory variable is the "number of items viewed".
and the number of items viewed is numeric data, so it is quantitative.
Hence, option (A) is correct.
Based on the calculations, the unknown number is equal to 
- Let the unknown number be x.
<h3>How to find an
unknown number:</h3>
Translate the word problem into an algebraic expression, we have;
Adding 21 to the unknown number:

Multiplying the result by 3:

84 more than two-thirds of the unknown number:

Equating the equations, we have:

Cross-multiplying, we have:

Read more on word problems here: brainly.com/question/13170908
Answer:
x = 31
Step-by-step explanation:
Given:
MN = 20
PQ = x
RS = 42
Required:
Value of x
SOLUTION:
In a trapezoid, the midsegment length equals the sum of both bases divided by 2
This implies that:
PQ = ½(MN + RS)
Plug in the values
x = ½(20 + 42)
x = ½(62)
x = 31