30/80 = 0.375(100) = 37.5%
30 is 37.5% of 80
<em>what is 5cd when c = 3 and d = 4</em>
<em>put</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>c</em><em>=</em><em>3</em><em> </em><em>and</em><em> </em><em>d</em><em>=</em><em>4</em><em> </em><em>then</em><em>,</em>
<em>5</em><em>cd</em><em>=</em><em> </em><em>5</em><em> </em><em>×</em><em> </em><em>3</em><em> </em><em>×</em><em> </em><em>4</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>6</em><em>0</em><em> </em>
<em>thus</em><em> </em><em>,</em><em> </em><em>6</em><em>0</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>required</em><em> </em><em>answer</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer:
a) 3,6,9,12,15,..
b) Common Ratio is 3
c) Recursive Formula : aₙ= aₙ₋₁ + d where a₁=3 and d= 3
Step-by-step explanation:
a) Create your own arithmetic sequence. Write out the first 3 terms.
Consider the sequence: 3,6,9,12,15,..
a₁ = 3
a₂ = 6
a₃ = 9
b) What is the common difference of your sequence?
6-3 = 3
9-6 = 3
12 -9 =3
So, common difference is 3
c) Write the recursive formula representing your sequence.
a₁ = 3
a₂ = aₙ₋₁ + d
= a₁ + d
= 3+ 3 = 6
a₃ = aₙ₋₁ + d
= a₂ + d
= 6+3 = 9
so, recursive formula is aₙ = aₙ₋₁ + d where a₁ = 3 and d= 3
The inequality is y<2x-1.
To draw the solutions, we first start our solution by drawing the line y=2x-1.
To draw a line, it is enough to determine 2 solutions (x, y), plot them in the coordinate axes, and finally join them by a line.
Let x=0, then y=2*0-1=0-1=-1, so we have the point (0, -1).
Now, if y=0, x=1/2, so we have the point (1/2, 0).
We can see that these 2 points are points of the lines on the 2 pictures on the left. Now we want to determine which region to color, the region below the line, or the one above it.
Consider any point which is not on the line, for example (1, 2). We plug x=1 and y=2 in the inequality. If the inequality holds, it means that we are in the solutions region. If it does not hold, then we are on the not solutions regions.
We check: for x=1, y=2 the inequality y<2x-1 is 2<1, which is not true. So the point (1, 2) can't be in the colored region.
Thus the answer is bottom left.
Answer: Bottom left picture.
