There will be 36 squares in the 8th step of the pattern
<h3>How to determine the number of squares?</h3>
The pattern and the squares are represented as:
<u>Pattern Squares</u>
1 1
2 3
3 6
4 10
This can be rewritten as:
<u>Pattern Squares</u>
1 1
2 1 + 2
3 1 + 2 +3
4 1 + 2 + 3 +4
So, the number of squares on the 8th pattern is:
8th pattern = 1 + 2 + 3 +4 + 5 + 6 + 7 + 8
Evaluate
8th pattern = 36
Hence, there will be 36 squares in the 8th step
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The given rational functions is graphed in the figure is Option B. f(x) = 1/ ( x-2) (x + 5) is correct.
<h3>What is a function?</h3>
The function is a type of relation, or rule, that maps one input to specific single output.
Here, a graph is given.
We need to find which of the given rational functions is graphed in the figure.
On x-axis, 1 unit = 2 units
Clearly, we can see the graph is not defined at point x = 2 and at x = -5.
Corresponding to x = 2, factor is (x - 2) .
Corresponding to x = -5, factor is (x + 5) .
So, this graph is of the rational fraction
Hence, Option B. f(x) = 1/ ( x-2) (x + 5) is correct.
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Answer:
47+ y = 180 (linear pair)
y = 133
If the discount is 15 percent, he still pays (100-15) or 85%
125.99 * 85%
125.99 * .85 = 107.09 is the price he pays for the rod
107.09 * .03 =3.21 is the sales tax
107.09+3.21=110.30 is the price of the rod with the discount and the tax
Answer:
c. y = -35*x + 105
Step-by-step explanation:
Lo que demos hacer es calcular los puntos cuando x = 0 y cuando x = 3, es decir el inicio y el fin del recorrido.
Cuando x es igual 0, y = 105, por lo tanto, la función sería:
y = A*x + 105
Cuando x = 3, y = 0, por lo tanto:
0 = 3*A + 105
resolvemos para A:
3*A = -105
A = -105/3
A = -35
Por lo tanto la función es:
y = -35*x + 105
es decir, la opción c.