<span>Simplify the rational expression. State any restrictions on the variable.
A. t + 4; t ≠ 8 B. - t + 4; t ≠ - 8 C. t - 4; t ≠ - 8 D. - t - 4; t ≠ 8
I think it would be C.
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Answer:
4) 0
5) 30.5 and 60.5
6) 30.5 through 80.5
Step-by-step explanation:
The box plot is split into 4 parts, the first 25% of it (1/4 of 100) is 0.
Q stands for quarter (1/4) so Q1=30.5 because of where the first dot hits, and Q3=60.5 because of where the 3rd dot hits.
The dot plot goes from 30.5 through 80.5.
I hope this makes sense and helps you!
Answer: Length = x² - 6x - 16
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as. Area = length × width
Length = Area/width
The area of a rectangle is represented by the function
x³ - 2x² - 40x - 64. The width of the rectangle is x + 4. Therefore,
Length = (x³ - 2x² - 40x - 64)/(x + 4)
We would apply the method of long division. The steps are shown in the attached photo. From the photo,
Length = x² - 6x - 16
Answer:
4.


5.


Step-by-step explanation:
The sides of a (30 - 60 - 90) triangle follow the following proportion,

Where (a) is the side opposite the (30) degree angle, (
) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,
4.
It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.
The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (
). Thus the following statement can be made,

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

5.
In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,
The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

Answer:
24) A
22) B
Step-by-step explanation:
24)
Original Price: d
Sale: 30%
A sale means that a value is subtracted from the original price
d - 30% = 0.7d
All options given:
A) 0.3d
B) 0.7d
C) d - 0.3d = 0.7d
D) (1.0 - 0.3)d = 0.7(d) = 0.7d
All of these options are equal to the price after the sale, except A.
A is the answer to question 24
22) m > 0, n > 0 Use an example to represent m and n
m = 1, n = 2 = -0.5
-0.5 is a rational, negative number
The answer to question 22 is B
Hope this helps :)