Answer:
r = -6, -1
Step-by-step explanation:
r^2 + 7r+6 =0
Factor
What 2 numbers multiply to 6 and add to 7
6*1 =6
6+1 =7
(r+6) (r+1) =0
Using the zero product property
r+6 =0 r+1 =0
r = -6 r=-1
The answer after subtracting the following equation is x= -8/5
Step-by-step explanation:
- -2x+7y=10 ----- eq(1) , 3x + 7y =2------ eq(2)
- subtracting eq 2 from eq 1 we get
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Each number in the sum is even, so we can remove a factor of 2.
2 + 4 + 6 + 8 + ... + 78 + 80 = 2 (1 + 2 + 3 + 4 + ... + 39 + 40)
Use whatever technique you used in (a) and (b) to compute the sum
1 + 2 + 3 + 4 + ... + 39 + 40
With Gauss's method, for instance, we have
S = 1 + 2 + 3 + ... + 38 + 39 + 40
S = 40 + 39 + 38 + ... + 3 + 2 + 1
2S = (1 + 40) + (2 + 39) + ... + (39 + 2) + (40 + 1) = 40×41
S = 20×21 = 420
Then the sum you want is 2×420 = 840.
First you have to get the equation into slope/intercept format: y = mx + b
So the slope m = 2, and the y-intercept b = -1.
b tells you where the line intersects the y axis. The slope is rise (vertical distance) over run (horizontal distance). I have attached my best attempt at drawing this without graph paper. The dotted line represents the inequality, and the solution set includes the values above the line which is why it is shaded. Hope this helps!
3/65
is the awnser.good day
