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3 years ago

In the geometric pattern below, n represents the number of blocks in the bottom row of each figure.

Mathematics

2 answers:

sattari [20]3 years ago

6 0

Answer:

f(1)=2; f(n)=f(n-1)+2n; for n >2

MrMuchimi3 years ago

4 0

Figure 1
n=1→f(n)=f(1)=1

Options 2 or 3

Figure 2
n=2→f(n)=f(2)=5

With Option 2:
f(n)=f(n-1)+2n
n=2→f(2)=f(2-1)+2(2)
f(2)=f(1)+4=1+4→f(2)=5 ok

With Option 3
f(n)=f(n-1)+n
n=2→f(2)=f(2-1)+2
f(2)=f(1)+2=1+2→f(2)=3 No

Answer: Second option: f(1)=1; f(n)=f(n-1)+2n; for n>=2

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Step-by-step explanation:

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3 years ago

Function question<br><br>read the graph then solve

viktelen [127]

Answer:

g(5x) = 0
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Step-by-step explanation:

Do what your instructions say: read the graph and solve.

1. In order to find x, you look for the point where g(x) is 4. That point is found where x = -2. (See the first attachment.)

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... g(5x) = g(-10) = 0

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3 years ago

Find the equation of the line that passes through (1, -1) and is parallel to

daser333 [38]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$2x+y-3=0\implies y=\stackrel{\stackrel{m}{\downarrow }}{-2} x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line with a slope of -2 and that passes through (1 , -1)

$(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=-2x+2\implies y=-2x+1$

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3 years ago

The Washer family spent $15.80 each week for milk until the milk prices rose 5% in their town How much do they spend weekly on m

Law Incorporation [45]

15.80 * 1.05 should give you the answer

A method to solve it would be would be:
First converting 5% to a decimal then multiplying that by 15.80 in order the find 5 percent of 15.80...Afterwards you have to add that value to the original 15.80 ..And you should end up with the same answer.

6 0

4 years ago

Read 2 more answers

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ANTONII [103]

Answer:

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Step-by-step explanation:

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3 years ago