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natta225 [31]
3 years ago
9

Which equation describes the relationship between the values in the table?

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0

Answer:

the answer is option 4

Step-by-step explanation:

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David is buying fish for his aquarium. Clown fish cost $12 each and angel fish cost $7 each. If he has $100 to spend, and he wan
Anni [7]

Answer:

6 clown fish and 4 angel fish

Step-by-step explanation:

<u>lets say he bought 8 clown fish. </u>

12*8 = 96

the last 4 dollars wont be used.

<u>lets say he bought 7 clown fish-</u>

12*7 = 84

100 - 84 = 16. 16 is not a multiple of 7.

<u>lets say he bought 6 clown fish,</u>

12*6 = 72

100 - 72 = 28

28/7 = 4

If David has $100 dollars to spend and wants to spend every dollar, he can buy 6 clown fish and 4 angel fish.

3 0
2 years ago
A. Evaluate ∫20 tan 2x sec^2 2x dx using the substitution u = tan 2x.
irakobra [83]

Answer:

The integral is equal to 5\sec^2(2x)+C for an arbitrary constant C.

Step-by-step explanation:

a) If u=\tan(2x) then du=2\sec^2(2x)dx so the integral becomes \int 20\tan(2x)\sec^2(2x)dx=\int 10\tan(2x) (2\sec^2(2x))dx=\int 10udu=\frac{u^2}{2}+C=10(\int udu)=10(\frac{u^2}{2}+C)=5\tan^2(2x)+C. (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)

b) In this case u=\sec(2x) hence du=2\tan(2x)\sec(2x)dx. We rewrite the integral as \int 20\tan(2x)\sec^2(2x)dx=\int 10\sec(2x) (2\tan(2x)\sec(2x))dx=\int 10udu=5\frac{u^2}{2}+C=5\sec^2(2x)+C.

c) We use the trigonometric identity \tan(2x)^2+1=\sec(2x)^2 is part b). The value of the integral is 5\sec^2(2x)+C=5(\tan^2(2x)+1)+C=5\tan^2(2x)+5+C=5\tan^2(2x)+C. which coincides with part a)

Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.  

3 0
3 years ago
What does -4(-8x-8) equal?
slavikrds [6]

Answer:

Lets break it down

( -8 x -8 ) = 64, because a negative x negative always equals a positive

-4 x 64 = -256, because a negative x positive always equals a negative

Your answer is -256.

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>
8 0
3 years ago
Alex earned $176 for working<br> 8 hours. How much did Alex earn<br> per hour?
MaRussiya [10]
He earned 22$ per hour
8 0
3 years ago
What is the simplified form of the quantity of x plus 4, all over 5 + the quantity of x plus 5, all over 5?
Novay_Z [31]
Thats the right answer.
6 0
3 years ago
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