Step-by-step explanation:
Use the quadratic formula to find the solutions.
−b±√b2−4(ac)2a-b±b2-4(ac)2a
Substitute the values a=9a=9, b=0b=0, and c=−81c=-81 into the quadratic formula and solve for xx.
x=±3x=±3
The final answer is the combination of both solutions.
x=3,−3x=3,-3
This is simple division.
First, look at what you're working with.
You have 2 fractions. Both contain a whole number, and a percentage of a number.
Now, first you can work with whatever is easiest. So, start with the whole numbers. 6/3=2, so for the first part of your answer, the whole number is 2.
Now, move on to the smaller fractions, which are simply just a percentage of a number. you have 1/2, and 2/3. How could you possibly divide this? Well, find a common denominator. 3*2=6, 2*3=6, so 6 is the LCD (Least common denominator, meaning lowest in value common denominator).
so, what you did to one side you must do to the other. For 1/2, you multiplied the 2 by 3, so you must multiply the 1 by three as well. 1*3=3.
1/2=3/6 now.
Do the same for the other part. 3*2=6, so 2*2=4.
2/3=4/6 now.
Now, you have 6 and 3/6 Divided by 3 and 4/6. Work it out.
Now, if you calculate it out, you get 2 for the first part. but you can't divide 3/6 by 4/6 without coming up short, so that means you have to factor back in value of 1 out of that 2. So, the 2 becomes a whole number of 1.
If you care to, convert each fraction into an improper fraction to help.
If you do, your denominator will change to 22, which you can factor back in. You end up getting 39/22.
Which, as a whole, would be 1 and 17/22.
~Hope this helps!
Answer:

Step-by-step explanation:
Given
M = 27 when Y = 16 and X = 9
Required
Find Y when M = 7 and X = 2
We start by getting the algebraic representation of the given statement

Convert the variation to an equation; we have

<em>Where K is the constant of variation;</em>
When M = 27; Y = 16; X = 9, the expression becomes

This gives

Make K the subject of formula



Solving for Y when M = 7 and X = 2
Recall that 
Substitute values for K, M and X


Take square of both sides


Make Y the subject of formula


2. (-1,4) because it’s the only point in the intersection of both intersections. All the other points only fall into the solution of one inequality or in the case of 4 none
If an employee has already measured out 59 pounds of wild rice. The number of pounds of long grain brown rice should she add to make the blend is: 88.5 pounds of long grain.
<h3>
Number of pounds of long grain</h3>
Let x represent number of pounds of long grain
6.45×59+3.95x=(59+x)×4.95
380.55+3.95x =292.05+4.95x
380.55–x =292.05
-x=292.05-380.55
-x = -88.5
x = 88.5 pounds of long grain
OR
6.45×59+3.95x=(59+x)×4.95
x=(6.45-4.95)×59
x=1.5×59
x=88.5 pounds of long grain
Therefore If an employee has already measured out 59 pounds of wild rice. The number of pounds of long grain brown rice should she add to make the blend is: 88.5 pounds of long grain.
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