Answer:
13x-4
Step-by-step explanation:
Answer:
1.) k = 5
2.) n = -20
3.) p = -13
4.) m = -450
5.) b = -38
6.) n = -24
7.) x = 21
8.) x = 12
9.) b = -2
10.) b = 5
Step-by-step explanation:
To solve all equations, do the reciprocal, or opposite of what is being done. For example, if a number and a variable are being multiplied, you would divide by the number to solve.
1.) 55 = 11k
(11 and k are being multiplied, so you would divide)
Divide by 11 on both sides:
55 = 11k
/11 /11
5 = k
2.) Add 15 on both sides:
n - 15 = -35
+15 +15
n = -20
3.) Divide by -6 on both sides:
78 = -6p
/-6 /-6
-13 = p
4.) Multiply by 18 on both sides:
m/18 = -25
18(m/18) = (-25)18
m = -450
5.) Add 20 on both sides:
18 = -20 - b
+20 +20
38 = -b
Divide by -1 on both sides:
38 = -b
/-1 /-1
-38 = b
6.) Subtract 12 on both sides:
12 + n/4 = 6
-12 -12
n/4 = -6
Multiply by 4 on both sides:
4(n/4) = (-6)4
n = -24
7.) Multiply by 2 on both sides:
2(-7 + x/2) = (7)2
-7 + x = 14
Add 7 on both sides:
-7 + x = 14
+7 +7
x = 21
8.) Subtract 2 on both sides:
-4x + 2 = -22
-2 -2
-4x = -24
Divide by -4 on both sides:
-4x = -24
/-4 /-4
x = 12
9.) Add 9 on both sides:
7 = -8b - 9
+9 +9
16 = -8b
Divide by -8 on both sides:
16 = -8b
/-8 /-8
-2 = b
10.) Multiply by -3 on both sides:
-3(b - 14/-3) = (3)-3
b - 14 = -9
Add 14 on both sides:
b - 14 = -9
+14 +14
b = 5
An excluded value is one where the bottom of the fraction = 0.
In your case 1-3x=0
1=3x
x=1/3
At this point, the function does not exist. If you were to draw a graph of it, there wouldn't be a y-value corresponding to x=1/3.
Answer:
651.
Step-by-step explanation:
Note: In the given series it should be -29 instead of 29 because 29 cannot be a term of AP whose first term is 91 and common difference is -6.
Consider the given series is
It is the sum of an AP. Here,
First term = 91
Common difference = 85 - 91 = -6
Last term = -29
nth term of an AP is
where, a is first term and d is common difference.
Sum of AP is
![Sum=\dfrac{n}{2}[\text{First term + Last term}]](https://tex.z-dn.net/?f=Sum%3D%5Cdfrac%7Bn%7D%7B2%7D%5B%5Ctext%7BFirst%20term%20%2B%20Last%20term%7D%5D)
![Sum=\dfrac{21}{2}[91+(-29)]](https://tex.z-dn.net/?f=Sum%3D%5Cdfrac%7B21%7D%7B2%7D%5B91%2B%28-29%29%5D)
![Sum=\dfrac{21}{2}[62]](https://tex.z-dn.net/?f=Sum%3D%5Cdfrac%7B21%7D%7B2%7D%5B62%5D)
Therefore, the sum of given series is 651.
