The given question is 8+13+18+...... which is in arithmetic progression . And for arithmetic series, we have to use the following formula for nth term .
Here a =8 , d=5
So we get
And the required expression for n=7 is
Answer:
shegot a better score on the second test
50 is double of 25
75is 3 times 25
100 is 4 times 25
Step-by-step explanation:
19 times 4= 76
17 times 5= 85
The formula in order to obtain the vertex form of a
quadratic equation is given as
y=a(x-h)^2+k where (h,k) is the vertex of the quadratic
equation which is parabolic in shape and it is opening upward.
As given in the problem, y=6x^2+12x-10
Using the formula, we can transformed the quadratic equation
y=6x^2+12x-10 into its vertex form:
y=6x^2+12x-10
<span>y= (6x^2+12x)-10 (grouping)</span>
y=6(x^2+2x)-10 (factoring Common terms per
group)
y=6(x^2+2x+1)-10-6 (Completing the squares)
<span>y=6(x+1)^2-16
(Factor and Simplify) </span>
Hence, the vertex form of y=<span>6x^2+12x-10 is y=6(x+1)^2-16</span>
You start off by multiplying the second bracket by -1 to get rid of the bracket.
So,
(2x3 + x2 - 4x) - 9x3 + 3x2 =
2x3 +x2 - 4x - 9x3 + 3x2 =
(2x3 - 9x3) + (x2 + 3x2) - 4x =
-7x3 + 4x2 - 4x
To find the percentage always multiply whatever decimal number you have by 100% <span>
1) 5 + 8 + 12 = 25 (total number in bag)
5/25 x 100% (because you're trying to find probability of red)
= 20%
2) 5 + 8 = 13 (# of red AND blue)
13/25 x 100% (divide out of the total)
=52%
3) 5/25 = 0.2 x 12/25 = 0.48 (find probability of drawing red and green)
0.2 x 0.48 x 100%
= 9.6%
4) 10 + 12 + 28 = 50 (to find total number of trials)
28/50 x 100%
= 56%
5) 5 x 7 (number of sections on first spinner multiply by # of sections on second spinner)
= 35</span><span>Its B 20%
</span>
