Answer:
4 (c - 6)
Step-by-step explanation:
Simplify the following:
6 c - 2 c - 16 - 8
Hint: | Group like terms in 6 c - 2 c - 16 - 8.
Grouping like terms, 6 c - 2 c - 16 - 8 = (6 c - 2 c) + (-8 - 16):
(6 c - 2 c) + (-8 - 16)
Hint: | Combine like terms in 6 c - 2 c.
6 c - 2 c = 4 c:
4 c + (-8 - 16)
Hint: | Evaluate -8 - 16.
-8 - 16 = -24:
4 c + -24
Hint: | Factor out the greatest common divisor of the coefficients of 4 c - 24.
Factor 4 out of 4 c - 24:
Answer: 4 (c - 6)
Answer:
Option (3)
Step-by-step explanation:
There are two inequalities graphed in the figure attached.
1). Solid line having shaded above the solid line (passing through origin) will be represented by the equation,

2). Another dotted line having shaded area below the line will be represented by the inequality,

Common shaded area of these inequalities will be the solution area.
All the ordered pairs lying in this area will be the answer.
In the given options,
Ordered pairs given in Option (3) lie in the common shaded area.
By using the linear function which models the data in the given table, if x = 2, then y is approximately: A. -11.
<h3>What is a scatter plot?</h3>
A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:
y = -5.9245x + 0.9958
If x = 2, then y is approximately:
y = -5.9245(2) + 0.9958
y = -11.849 + 0.9958
y = -10.8532 ≈ -11.
Read more on scatterplot here: brainly.com/question/6592115
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To solve this problem you can use proportions. The shadow of the water tower and light post are a match, and the height of the water tower and light post are a match. Since we are finding the height of the light post we can replace it with x. The proportion can be set up like this: x/32=7/14. First, multiply 32 and 7 which equals 224. Then take 224 and divide it by the leftover number, 14, and you get 16. So, the answer is c).
The type of numbers, rational and irrational from the numbers Keisha writes are;
a. Rational numbers; -9, 3.0, 2, and 2.42
b. Irrational numbers; √8
<h3>What is the difference between rational and irrational numbers?</h3>
Rational numbers are numbers are numbers that can be expressed as a ratio of two whole numbers P/Q, in which, <em>Q </em>≠ 0
Irrational numbers are those that cannot be expressed as a fraction P/Q
The given numbers are;
-9, √8, 3.0, 2, 2.42
- √8 = 2•√2 (√2 cannot be expressed as a fraction of two whole numbers)
a. The rational numbers are therefore;
b. The irrational number is; √8
Learn more about rational and irrational numbers here:
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