50 is half of 100, so 55/100 would be greater than 1/2
This equation is simplistic if you look at it closely.
f(1)=6.
f(4)= (6x4)
6x4 is 24.
Hope this helped!
![\bf 2=x^2+5x\implies 0=x^2+5x-2\\\\\\\qquad \qquad \qquad \textit{discriminant of a quadratic}\\\\\\0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{-2}~~~~~~~~\stackrel{discriminant}{b^2-4ac}=\begin{cases}0&\textit{one solution}\\positive&\textit{two solutions}\\negative&\textit{no solution}\end{cases}\\\\\\(5)^2-4(1)(-2)\implies 25+8\implies 33](https://tex.z-dn.net/?f=%20%5Cbf%202%3Dx%5E2%2B5x%5Cimplies%200%3Dx%5E2%2B5x-2%5C%5C%5C%5C%5C%5C%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Ctextit%7Bdiscriminant%20of%20a%20quadratic%7D%5C%5C%5C%5C%5C%5C0%3D%5Cstackrel%7B%5Cstackrel%7Ba%7D%7B%5Cdownarrow%20%7D%7D%7B1%7Dx%5E2%5Cstackrel%7B%5Cstackrel%7Bb%7D%7B%5Cdownarrow%20%7D%7D%7B%2B5%7Dx%5Cstackrel%7B%5Cstackrel%7Bc%7D%7B%5Cdownarrow%20%7D%7D%7B-2%7D~~~~~~~~%5Cstackrel%7Bdiscriminant%7D%7Bb%5E2-4ac%7D%3D%5Cbegin%7Bcases%7D0%26%5Ctextit%7Bone%20solution%7D%5C%5Cpositive%26%5Ctextit%7Btwo%20solutions%7D%5C%5Cnegative%26%5Ctextit%7Bno%20solution%7D%5Cend%7Bcases%7D%5C%5C%5C%5C%5C%5C%285%29%5E2-4%281%29%28-2%29%5Cimplies%2025%2B8%5Cimplies%2033%20)
so we have a 33, namely two real solutions for that quadratic.
usually that number goes into a √, if you have covered the quadratic formula, you'd see it there, namely that'd be equivalent to √(33), now 33 is a prime number, and √(33) is yields an irrational value, specifically because a prime number is indivisible other than by itself or 1.
so 33 can only afford us two real irrational roots.
Get the slope:
( 10-(-2) )/( 3 - (-1) ) = 3
Let's use letters to represent the ?'s.
y + k = m(x + 1)
Examine the equation:
Notice that if x were to equal -1, the equation would be equal to 0.
m(-1 + 1) = m(0) = 0
If x were to be -1, then y would have to be -2 since that is one of the points provided in the problem.
So now we have:
-2 + k = 0
Solve for k:
k = 2
So I know that 2 is the only number that will work for k.
Our new equation is y + 2 = m(x + 1)
Recall point slope form:
y - y1 = m(x - x1)
Our equation is in the same form as point slope form, so we know that m in our equation represents the slope.
We found the slope at the beginning, it was 3. So plug it in:
y + 2 = 3(x + 1)
Let's test our answer by plugging in a point. Let's try (3, 10):
10 + 2 = 3(3 + 1)
12 = 12
So our answer is correct:
y + 2 = 3(x + 1) is the answer.
Answer:
Step-by-step e I can use inequalities to solve word problems with one or more ... Money: The coupon is good for any item that costs less than $10. ... than or equal to ban ... Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. ... has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00.xplanation: