Answer:
Step-by-step explanation:
Answer:
I think the top would be −72
/7
Step-by-step explanation:
Hope this is right! :) please help on my recent question on history, you get BRAINLYIST AWNSER and 10 points if you answer :/
Answer:
90 hardcover books
Step-by-step explanation:
We can solve this by setting up a couple of equations.
Let's allow x to represent the number of paperbacks Tim owns, and allow y to represent the number of hardcover books he owns.
Using the information in the question, we can write the equations:
1)x = 4y-3
2) x+y=447
Let's rearrange equation 1 so that it is in standard form:
x-4y=-3
And then let's multiply equation 2 by 4 so that we can cancel out y when we solve the system of equations:
4(x+y=447)
4x+4y=1,788
Then we can add the two equations and solve for x:
1) x-4y=-3
+ 2)4x+4y=1,788
------------------------------------
5x=1,785
x=357
So now we now the number of paperback books Tim has is 357. Let's plug this into one of the original equations to solve for the number of hardcover books (y):
357+y=447
y=90
And now we know that Tim owns 90 hardcover books.
Answer:
f'(x) = 5x^4 + 2x + 3x^2
Step-by-step explanation:
To find the derivative of this equation we can do two things.
One method is to use the product rule, which states that when f(x) consists of two functions multiplied to each other (meaning f(x) = g(x) * h(x)), the derivative is f'(x) = g'(x)*h(x) + g(x)*h'(x). In simple language, the derivative is found by finding the derivative of x² + 1 and multiplying it with the normal function of x³ + 1, after which you add the product of the nnormal function of x² + 1 and the derivative of x³ + 1.
it might be clearer when I show you:
If you are not familiar with this rule you can first write out the function and then use the basic rule:
If you need any further help please say so in the comments! I hope this helps! If the steps seem complicated, I suggest you could revise expanding brackets (the first step of the second method) and the basic rules of deriving, but feel free to reach out if you struggle afterwards still
Y=12+2x
y represents the number of pieces she now knows, x represents the number of weeks she has taken lessons, 2 is the slope (the number of pieces she'll learn each week), and 12 is the y intercept (the number of pieces she knew before taking lessons).
To solve the equation for 11 weeks, we replace x with 11.
2×11+12= 24
y=24
