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san4es73 [151]
2 years ago
13

Determine which function has a greater change of rate. Be sure to show work as well.

Mathematics
1 answer:
Paha777 [63]2 years ago
6 0
Find slope
a. (-1,5) (0,0)
0-5/0+1
= -5
b. 4-3/4-3
=1
so a
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Prove the identity.<br> tan(x − y) + tan(z − x) + tan(y − z) = tan(x − y) tan(z − x) tan(y − z)
Viktor [21]

Step-by-step explanation:

This is known as the triple tangent identity.  Start with the fact that the three angles add up to 0.

(x − y) + (z − x) + (y − z) = 0

Subtract two terms to the other side and take the tangent:

x − y = -((z − x) + (y − z))

tan(x − y) = tan(-((z − x) + (y − z)))

Use reflection property:

tan(x − y) = -tan((z − x) + (y − z))

Now use angle sum identity:

tan(x − y) = -[tan(z − x) + tan(y − z)] / [1 − tan(z − x) tan(y − z)]

tan(x − y) = [tan(z − x) + tan(y − z)] / [tan(z − x) tan(y − z) − 1]

tan(x − y) [tan(z − x) tan(y − z) − 1] = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) − tan(x − y) = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) = tan(x − y) + tan(z − x) + tan(y − z)

4 0
3 years ago
If you used 1 drop of your sample and 4 drops of diluent what is your dilution ratio?
frez [133]

Answer:

1/5

Step-by-step explanation:

1 + 4 = 5

1/5

7 0
3 years ago
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A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not replaced. Let event
Leviafan [203]

Answer:

P(B) = 8/12

P(R | B) = 4/11

P(B ∩ R) = 8/33

The probability that the first ball chosen is black and the second ball chosen is red is about  24 percent.

Step-by-step explanation:

I just got it right on edge 2020. Good luck with school!!

6 0
3 years ago
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What is 3/4 of 50 for a math assignment.
Burka [1]

Answer:

37 1/2

Step-by-step explanation:

multiply the two numbers if their is an “of” in the statement

7 0
3 years ago
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Determine whether the statement is true or false. If f and g are positive increasing functions on an interval I, then fg is incr
Leno4ka [110]

Answer: false

Step-by-step explanation:

If f and g are increasing on I, this implies that f' > 0 on I and g' > 0 on I. That is both f' and g' have a positive slope. However,

Using product rule;

(fg)' = fd(g) + gd(f)

(fg)' = f * g' + f' * g

and although it is given that g' and f' are both positive we don't have any information about the sign of the values of the functions themselves(f and g). Therefore, if at least one of the functions has negative values there is the possibility that the derivative of the product will be negative. For example;

f = x, g = 5x on I = (-5, -2)

f' = 1 and g' =5 both greater than 0

f and g are both lines with positive slopes therefore they are increasing, but f * g = 5x^2 is decreasing on I.

6 0
3 years ago
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