Answer:
The first five terms are;
-3,-7,11,-29,69
Step-by-step explanation:
The recursive definition of the sequence is
,
and
.
When n=3, we obtain;
.
.
.
.
When n=4
.
.
When n=5
.
.
Therefore the first five terms are;
-3,-7,11,-29,69
7x20x11= 1540
30x4x11=1320
1540+1320=2860
Well first lets review the information on these numbers. A negative number is less than 0. So the bigger the negative number, the smaller it actually is.
So...
a) -11.6 > 7.52 (A negative is not greater than a positive!)
b) -5.39 > -4.21 (The bigger the negative the smaller the number -Nope!)
c) 8.7 < 8.63 (Nope- you can tell just by knowing the common number)
d) -6.29 < -4.81 (YES!!)
hope that helps!
Answer:
(3,2)
Step-by-step explanation:
2x-4=y
2y+3x=13
We substitute the y in. They already gave us the equation 2x-4=y simplified so you would just plug this into the other equation
2(2x-4) +3x=13 : *distribute*
4x-8+3x=13 : *combine like terms*
7x-8=13 * add the 8 to the other side*
7x=21 *divide*
x=3
So the y=2x-4 is what we added in the place of the y to subtract it and solve for x. The second step would be solving for y. So now that we have our answer, 3 we plug it into the other equation preferably.
2(3)-4 =y : 6-4=y : 2=y
We can check our answer by pugging both x and y into both equations to make sure they are right. The statement should be true.
2x-4=y 2(3)-4=(2) 2=2
2y+3x=13 2(2)+3(3)=13 13=13
Answer:
C.
Step-by-step explanation:
Because the vertical line is the line that is parallel to the y-axis,
(V) : x = 1...because it only passes through 1 and has a gradient of (0)
The horizontal line is the line that is parallel to the x-axis
(H) : y = 6...because it passes through 6 and has a gradient of 0