Pi is many numbers since it goes on and on so the rounded number for pi is 3.14
Answer:
(1 - 4x)³
Step-by-step explanation:
The first 2 terms are a difference of cubes and factor in general as
a³ - b³ = (a - b)(a² + ab + b²), thus
1 - 64x³
= 1³ - (4x)³
= (1 - 4x)(1 + 4x + 16x²)
Thus
1 - 64x³ + 48x² - 12x ← factor out 12x from each of the 2 terms
= (1 - 4x)(1 + 4x + 16x²) + 12x(4x - 1) ← factor out - 1 from (4x - 1)
= (1 - 4x)(1 + 4x + 16x²) - 12x(1 - 4x) ← factor out (1 - 4x) from the terms
= (1 - 4x)(1 + 4x + 16x² - 12x)
= (1 - 4x)(1 - 8x + 16x²) ← perfect square
= (1 - 4x)(1 - 4x)²
= (1 - 4x)³ ← in factored form
Answer:
Table a match with Graph 3
Table b match with Graph 2
Table c match with Graph 4
Step-by-step explanation:
<u>Table a</u>
Time is plotted on x - axis and Temp on y axis
From table a we can see that the y values(temp) decrease with increasing time. The only graph that has a decreasing trend is Graph 3
<u>Table b</u>
Time plotted on x axis, cost on y axis
Looking at the values we see that they are almost linear except for 2 values at x = 2 and 2.5 and at y = 5 and 5.3.
Ignoring values 2.5 and 5.3 we see a linear fit with a slope of 20. This means either graph 1 or graph 2
However, the graph passes through (0,0) and this is not a set of values in the table. That leaves graph 2
<u>Table c</u>
Months plotted on x axis and length of fetus on the y axis
We can see that the y values (the length) increases slowly at lower values of x(x=1 and x=2) and then increase rapidly at the mid values(x = 2 thru 6) and then slows down between months 6 and 9. Only Graph 4 fits this pattern
Answer:
The expression to this question is "
".
Step-by-step explanation:
The answer is the second option y=-3x-2
