True
Solution,5X-4.3-3X =5.7
or,5X-3X=5.7+4.3
or ,2X=10
or,X=10/2
or,X=5
The limit would present itself in the form
![\sin(0)\left[\cos\left(\dfrac{1}{0}\right)+\sin\left(\dfrac{1}{0}\right)\right]](https://tex.z-dn.net/?f=%5Csin%280%29%5Cleft%5B%5Ccos%5Cleft%28%5Cdfrac%7B1%7D%7B0%7D%5Cright%29%2B%5Csin%5Cleft%28%5Cdfrac%7B1%7D%7B0%7D%5Cright%29%5Cright%5D)
Obviously, you can't evaluate the two expressions
![\cos\left(\dfrac{1}{0}\right),\quad \sin\left(\dfrac{1}{0}\right)\right]](https://tex.z-dn.net/?f=%5Ccos%5Cleft%28%5Cdfrac%7B1%7D%7B0%7D%5Cright%29%2C%5Cquad%20%5Csin%5Cleft%28%5Cdfrac%7B1%7D%7B0%7D%5Cright%29%5Cright%5D)
But since sine and cosine functions are always between -1 and 1, the sum of these will be a number between -2 and 2.
So, the limit presents itself in the form
![\sin(0)\cdot M = 0](https://tex.z-dn.net/?f=%5Csin%280%29%5Ccdot%20M%20%3D%200)
Since you have the product of a quantity which tends to zero, sin(x), and a quantity which is bounded, cos(1/x^2)+sin(1/x^2).
Answer:
5 batches
Step-by-step explanation:
1/6 oatmeal can make 1 batch, so 5/6 makes 5 batches
Answer:
y=32x
it takes 4 days
Graph (0,0) and (0,32)
Step-by-step explanation:
So yep good job!
Answer:
![\huge\boxed{No \ solutions}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7BNo%20%5C%20solutions%7D)
Step-by-step explanation:
Our first goal is to transform these words into numbers for an expression.
Let's break it down.
<em>-7 times a number</em>
We'll assume that the number is
. -7 times a number can be represented as
.
<em>8 times the sum of the number and 1</em>
We can break this complex statement down.
<em>8 times </em><em>the sum of the number and 1</em>
The sum of the number and 1 will be
. 8 times that will be
. Since it says at the beginning <em>the sum of</em>, we add
to
.
![-7n + 8(n+1)](https://tex.z-dn.net/?f=-7n%20%2B%208%28n%2B1%29)
<em>Is the same as the number minus 7</em>.
"Is the same" means we use an equal sign. The number minus 7 will be
. So we get ![-7n + 8(n+1)=n-7](https://tex.z-dn.net/?f=-7n%20%2B%208%28n%2B1%29%3Dn-7)
Now we can solve for n by reversing the equation until we have n isolated on one side.
![-7n + 8n + 8 = n-7](https://tex.z-dn.net/?f=-7n%20%2B%208n%20%2B%208%20%3D%20n-7)
![n + 8 = n-7](https://tex.z-dn.net/?f=n%20%2B%208%20%3D%20n-7)
![8 = -7](https://tex.z-dn.net/?f=8%20%3D%20-7)
We end up with 8 = -7. This is not possible. Therefore, there are no real values of x that satisfy this equation.
Hope this helped!