Question 1
The given system of equations is:
Equate the two equations:
Rewrite in standard form:
When we put x=0, in y=3x +6, we get:
One solution is (0,6)
When we put x=-2, into y=3x+6, we get:
Another solution is (-2,0)
The solutions are; (0,6) and (-2,0)
Question 2:
The function is
Let us put x=-x,
This gives:
We can observe that:
This is the property of an even function.
Question 3:
The given function is
The average rate of change of f(x) from x=a to x=b is given as:
This is the slope of the secant line connecting the two points on f(x)
From x=2 to x=6, the average rate of change
The average rate of change is 11
9514 1404 393
Answer:
D. -16/5
Step-by-step explanation:
-3.2 = -32/10 = -16/5 . . . . matches choice D
_____
<em>More detail</em>
Any finite decimal can be converted to a fraction by considering the place value of the digits.
3.2 = 3×1 + 2×(1/10)
= 3 + 2/10 = (30 +2)/10 = 32/10
Then common factors can be cancelled from numerator and denominator.
32/10 = (2·16)/(2·5) = 16/5
The negative sign can be applied as required.
-3.2 = -(3.2) = -(16/5) = -16/5
Answer:
640 in²
Step-by-step explanation:
Gift wrapper is going to cover the sides of the gift box, so we need to find the area.
8*8*10 = 640 in²
We need a gift wrapper with the area 640 in²
Answer:
if it is arithmetic, ach item us increase linearly. The general term is - 175+100(n-1)
where n is the number of term.
the 4th term is 125
if it is geometic, each item us increased exponetially. T he general term is 25/9 x 3^(n-1)
where n is the number of term
the 4th term is 75