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trasher [3.6K]
2 years ago
14

What is the ratio of chicks to dogs? Answer in fraction form.

Mathematics
1 answer:
Georgia [21]2 years ago
4 0

Answer:

The ratio of cats to dogs is 2:1 The ratio of dogs to cats is 1:2 or half as many dogs as cats. There are six cats and three dogs.

Step-by-step explanation:

one and two

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Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
mestny [16]

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

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7 0
2 years ago
For each graph shown tell whether it shows a proportional relationship
Soloha48 [4]

Answer:

a. yes, because there is a straight line that passes through the origin (0, 0). b. no, there is a straight line but it does not pass through the origin.

Step-by-step explanation:

6 0
3 years ago
Someone help please
Alla [95]

Answer:  Choice A

\tan(\alpha)*\cot^2(\alpha)\\\\

============================================================

Explanation:

Recall that \tan(x) = \frac{\sin(x)}{\cos(x)} and \cot(x) = \frac{\cos(x)}{\sin(x)}. The connection between tangent and cotangent is simply involving the reciprocal

From this, we can say,

\tan(\alpha)*\cot^2(\alpha)\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\left(\frac{\cos(\alpha)}{\sin(\alpha)}\right)^2\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\frac{\cos^2(\alpha)}{\sin^2(\alpha)}\\\\\\\frac{\sin(\alpha)*\cos^2(\alpha)}{\cos(\alpha)*\sin^2(\alpha)}\\\\\\\frac{\cos^2(\alpha)}{\cos(\alpha)*\sin(\alpha)}\\\\\\\frac{\cos(\alpha)}{\sin(\alpha)}\\\\

In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.

All of this shows why \tan(\alpha)*\cot^2(\alpha)\\\\ is identical to \frac{\cos(\alpha)}{\sin(\alpha)}\\\\

Therefore, \tan(\alpha)*\cot^2(\alpha)=\frac{\cos(\alpha)}{\sin(\alpha)}\\\\ is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.

You can visually confirm that \tan(\alpha)*\cot^2(\alpha)\\\\ is the same as \frac{\cos(\alpha)}{\sin(\alpha)}\\\\ by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.

6 0
3 years ago
Synthetic division!! Please help!!!<br> Fast!!
tatyana61 [14]
See that remainder in the lower, right hand corner of this array?  It's 2.  That is the value of f(-2).
3 0
3 years ago
Molly read 50 out of the 200 pages in her fiction book. Joel is also reading a fiction book, but his book has 280 pages in total
katrin [286]

Answer:

x = 70

Step-by-step explanation:

Given

Molly: 50 out of 200

Joel: x out of 280

Required

Find x

Start by representing the giving parameters as ration

Molly= 50 : 200

Joel = x : 280

From the question, the ratios are equivalent. So,

50 : 200 = x : 280

Convert to fractions

\frac{50}{200} = \frac{x}{280}

Solve for x

x = \frac{50}{200} * 280

x = \frac{1}{4} * 280

x = \frac{280}{4}

x = 70

5 0
3 years ago
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