15 divided by 6
15/6 equals 0.4
=0.4 Speed
Answer:
A) N + Q = 130
B) .05N + .25Q = 15.90
Multiplying equation A by -.05 equals
A) -.05N -.05Q = -6.50 then adding this to B)
B) .05N + .25Q = 15.90 Equals
.20Q = 9.40
Quarters = 47
Nickels = 83
.05*83 + .25*47 = 4.15 + 11.75 = 15.90
Step-by-step explanation:
Answer:
7595.96 × 0.02 × x = y
Step-by-step explanation:
1. We start with $7595.96.
2. The interest is 2% or 0.02
3. Using this formula - P(Principle) x R(Rate) x T(Time) we pluck in the numbers.
4. 7595.96(Principle) x 0.02(Rate) x x(Time) = y(amount of money in the account after x years).
8x + 3 = -39
8x + 3 -3 = -39 - 3
8x = -42
8x/8 = -42/8
x = -5.25
Answer:
b)
![x^{2} +\frac{b}{a} x+(\frac{b}{2 a} )^{2} = \frac{-c}{a} + (\frac{b}{2 a}) ^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%5Cfrac%7Bb%7D%7Ba%7D%20x%2B%28%5Cfrac%7Bb%7D%7B2%20a%7D%20%29%5E%7B2%7D%20%3D%20%5Cfrac%7B-c%7D%7Ba%7D%20%2B%20%28%5Cfrac%7Bb%7D%7B2%20a%7D%29%20%5E%7B2%7D)
Step-by-step explanation:
<u>Step(i)</u>:-
Given quadratic equation ax² + bx + c = 0
<u>step(ii)</u>:-
ax² + bx = -c
<u>Step(iii):</u>-
Dividing 'a' on both sides , we get
![\frac{ax^{2} +bx }{a} = \frac{-c}{a}](https://tex.z-dn.net/?f=%5Cfrac%7Bax%5E%7B2%7D%20%2Bbx%20%7D%7Ba%7D%20%3D%20%5Cfrac%7B-c%7D%7Ba%7D)
![x^{2} + \frac{bx}{a} = \frac{-c}{a}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%20%5Cfrac%7Bbx%7D%7Ba%7D%20%20%3D%20%5Cfrac%7B-c%7D%7Ba%7D)
<u><em>Step(iv)</em></u>:-
Adding
on both sides , we get
![x^{2} +\frac{b}{a} x+(\frac{b}{2 a} )^{2} = \frac{-c}{a} + (\frac{b}{2 a}) ^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%5Cfrac%7Bb%7D%7Ba%7D%20x%2B%28%5Cfrac%7Bb%7D%7B2%20a%7D%20%29%5E%7B2%7D%20%3D%20%5Cfrac%7B-c%7D%7Ba%7D%20%2B%20%28%5Cfrac%7Bb%7D%7B2%20a%7D%29%20%5E%7B2%7D)