Answer: Kristin bought 6 Math books and 5 English books.
Step-by-step explanation: Let x be the number of math books and y the number of english books.
Relation: 306=26x+30y
11=x+y
Solve using elimination method so you would get that y=5 then replace y=5 in the first equation to find x which is 6
Hi there, so we know that all triangles add up to 180 degrees so we will take 38 and add it with 25 to get 63 then we subtract 180 by 63 to get 117 which is your awnser!! I mean I might be wrong but I’m probably right. I hope this helps!! Have a great morning, night, or day, Whatever it is for you!
It looks like the first two boxes are the exact same thing, if they are check those. It should be g(x) = 4^x - 1
Check the 4th box; the graph is translated down 1 unit because the y goes down by 1.
Answer:
a. 281.25 grams
b. The 500 represent the original amount of aspirin.
c. 3/4 tells us what amount of the aspirin remains after every hour.
d's answer is in the picture. Just copy the line.
Step-by-step explanation:
A is the only part that needs any explanation.
Since the t represent hours, I'll subsititute t for 2.
500 * (3/4)²
<em>3/4 squared is 9/16.</em>
500 * 9/16
<em>Multiply 500 by 9 to get 4500.</em>
4500/16
<em>Simplify 4500/16 to 1125/4 (4 is canceled out.)</em>
1125/4
<em>Divide 1125 by 4 to get 281.25</em>
281.25
281.25 grams of aspirin will be in the patient body after two hours.
Given the function:
![y=\frac{2x^6-5x^5+3}{x^4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2x%5E6-5x%5E5%2B3%7D%7Bx%5E4%7D)
We can write the given function as follows:
![\begin{gathered} y=(2x^6-5x^5+3)\cdot x^{-4} \\ y=2x^2-5x+3x^{-4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D%282x%5E6-5x%5E5%2B3%29%5Ccdot%20x%5E%7B-4%7D%20%5C%5C%20y%3D2x%5E2-5x%2B3x%5E%7B-4%7D%20%5Cend%7Bgathered%7D)
So, y' will be as follows:
![\begin{gathered} y^{\prime}=2\cdot2x-5\cdot1+3\cdot(-4x^{-5}) \\ \\ y^{\prime}=4x-5-\frac{12}{x^5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%5E%7B%5Cprime%7D%3D2%5Ccdot2x-5%5Ccdot1%2B3%5Ccdot%28-4x%5E%7B-5%7D%29%20%5C%5C%20%20%5C%5C%20y%5E%7B%5Cprime%7D%3D4x-5-%5Cfrac%7B12%7D%7Bx%5E5%7D%20%5Cend%7Bgathered%7D)
So, the answer will be: y' = 4x - 5 -12/x^5