Answer:
Second barn: 912 bricks
Third barn: 1826 bricks
Fourth barn: 1402 bricks
Step-by-step explanation:
(English question: The barn consists of 1259 bricks. The second barn has 347 bricks less. The third has 567 bricks more than the first barn and the fourth barn has 490 bricks more than the second barn. How many bricks consists of the second, third and fourth barn.)
If the second barn has 347 bricks less than the first barn, so the second barn has:
1259 - 347 = 912 bricks
The third barn has 567 bricks more than the first barn, so the third barn has:
1259 + 567 = 1826 bricks
The fourth barn has 490 bricks more than the second barn, so the fourth barn has:
912 + 490 = 1402 bricks
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.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ1
Answer
m=5
x=100
so it will be y=5x+100
Step-by-step explanation:
Supplementary means it adds up to 180 degrees.
So if one side is 31 degrees, you would need to subtract that from 180 to find the other side.
-----------------------
180 - 31 = 149
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The other angle would be 149 degrees.
Answer:
15.51
Step-by-step explanation:
14.91x4%=.60
14.91+.60=15.51