Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The question is incomplete.
The question is:
What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply.
- The common difference of the sequence is the same as the slope of the graph.
- The slope of the graph is –4.
- The next term in the sequence is represented by point (4, 3).
- f(x) = –4x + 19 represents the sequence.
- An infinite number of points can be determined to follow this sequence.
The graph is attached to the picture please refer to the graph.
We have an arithmetic sequence:
19, 15, 11, 7,...
The first term is:
a = 19
Common difference d = 15-19 = -4
The nth term:
a(n) = 19 + (n-1)(-4)
a(n) = 19 -4n + 4
a(n) = -4n + 23
We can write above expression as:
f(x) = -4x + 23
Slope of the equation = -4
The correct options are:
- The common difference of the sequence is the same as the slope of the graph.
- The slope of the graph is –4.
Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.
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The reason how the expression are equivalent given below:
<h3>What is Distributive Property?</h3>
Multiplying a number by a sum or difference is the same as multiplying by each number in the sum or difference and then adding or subtracting.
The Complete question is:
How can you use distributive property to write an expression equivalent to the one given above? Use reasoning to explain how you know the expressions are equivalent.
Distributive property represents distribute the outside number among the number or digits in parenthesis.
For Example: Solve the expression 7(20 + 3) using the distributive property of multiplication over addition.
When we solve the expression 7(20 + 3) using the distributive property,
we first multiply every addend by 7.
This is known as distributing the number 7 amongst the two addends and then we can add the products.
This means that the multiplication of 7(20) and 7(3) will be performed before the addition.
Hence, 7(20) + 7(3) = 140 + 21 = 161.
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(5 + 6)3 would represent what you want.
96÷8= 12
44-12=32
12 Large Pizzas & 32 Regular Pizzas
32×6=192 slices
192÷96=2
Each worker got 1 slice of the large pizza & 2 slices of the regular pizza
110% of 90 is 99, 1.1*90=99