Answer:
Therefore,
....Standard form.
......Numerical Coefficients.
Step-by-step explanation:
Given:

To Find:
a ,b , c
Solution:
Quadratic:
A quadratic equation is an equation of the second degree.
Meaning it contains at least one term that is squared.
The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
Here it is given as

Adding 6 on both the side we get


Which is Quadratic Equation in STANDARD form Where,

Therefore,
....Standard form.
......Numerical Coefficients.
Answer:
The answer is 75 and here's why.
Let's figure out the amount of remaining votes to prove this.
250 total votes - 150 votes for candidate a = 100 votes.
minus ↑ sign
Candidate B received 25% of the votes, so let's find 25% of 100
100 * 0.25 = 25 votes
Candidate B only got 25 votes (that's kinda sad, poor guy)
100 - 25 votes = the # of votes candidate C got
Candidate C got 75 votes!
-4 is also a geometric mean
if we consider a(first element in series)=1 and r(common ratio)=-4 then the series would be
1,-4,16,-64,256,…..,a(-4)^(n-1 )
where n is nth term
from this -4 would be the geometric mean if we consider -4 as common ratio .
If we consider 4 as common ratio then geometric mean should be 4
so you should mention whether common ratio >0 or not (r>0 or not) .
[without ‘r’ value you can’t solve the question but in general most of the teachers will consider r>0.]
So, -4 won’t be geometric mean of 1 & 16
Step-by-step explanation:
1. simple interest
I= p × r × t
I = 1050 × 4.5 × 2
I = $9450
2. principal
p = I/(rt)
p= 22.50/ (3× 3)
p = 22.50/9
p = $2.5
3. simple interest
I= p × r × t
I = 500 × 5 × 3
I = $7500
4. time
first convert r to decimal
r= r/100, r= 3.5 / 100
r= 0.035
t = i/(pr)
t = 43.75/ (2500× 0.035)
t = 43.75/ 87.5
t = 0.5 year or 6 months
Answer:
Step-by-step explanation:
Like terms: 10y, -2y, 3x, and x
These are all like terms since they have a similar variable
Simplifying the expressions:
10y + 3x + 10 + x -2y = [(10y + -2y) + (3x + x)] + 10
= 8y + 4x + 10
Like terms: 3x, 4x, y, and -2y
Same as first explanation, terms have a similar variable
3x - y + 4x + 6 - 2y = (3x + 4x) + (-2y - y) + 6
= -3y + 7x + 6
Hope I helped :)