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Sergeeva-Olga [200]
2 years ago
13

I got this question wrong on a warm-up in class and I'm doing error analysis. Can someone solve this and explain why? I'm giving

out Brainliest and 100 points!!

Mathematics
1 answer:
Studentka2010 [4]2 years ago
7 0

Answer:

your answer would be D :)

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If c(x)= 5/x-2 and d(x) = x + 3, what is the domain of (cd)(x)?
Nataly [62]

(fg)(x)=f(x)\cdot g(x)\\\\\text{We have}\ c(x)=\dfrac{5}{x-2}\ \text{and}\ d(x)=x+3.\ \text{Substitute}\\\\(cd)(x)=\dfrac{5}{x-2}\cdot(x+3)=\dfrac{5(x+3)}{x-2}\\\\\text{Domain:}\\\\\text{The denominator must be different than zero. Therefore}\\\\x-2\neq0\to x\neq2\\\\Answer:\ \text{Domain is the set of all real numbers except 2}\to D=\mathbb{R}-\{2\}

3 0
3 years ago
identify the type of conic section that has the equation 4x^2+25y^2=100 and identify its domain and range.
Vika [28.1K]

4x^2+25y^2=100

4x^2+25y^2=100 \\\\
Dividing \;both \;sides \;by \;100 \\\\
\frac{4x^2}{100}+ \frac{25y^2}{100}= \frac{100}{100} \\\\
\frac{x^2}{25}+ \frac{y^2}{4}= 1 \\\\
\frac{x^2}{5^2}+ \frac{y^2}{2^2}= 1 \\\\
This \;is \;an \;ellipse. \\\\ \frac{x^2}{a^2}+ \frac{y^2}{b^2}= 1

Domain of an ellipse is x ∈ [-a,a] and Range of an ellipse is y ∈ [-b,b].

So, given equation is an Ellipse where Domain is x ∈ [-5,5] and Range is y ∈ [-2,2].

4 0
2 years ago
In a cirde, what does the ratio A/^2 represent?
inna [77]

Answer:

D.pi

Step-by-step explanation:

Because it’s pi

4 0
3 years ago
Find the value of t needed to make the equation shown true. <br><br> 25t = 12.5
-Dominant- [34]

Answer:

1/2

Step-by-step explanation:

Hi Avahosel2020!

To find the value of t we need to simplify the equation:

25t = 12.5

To just get t, we must divide 25 on both sides:

\frac{25t}{25} = \frac{12.5}{25}

<u>We can move the decimal one spot over and add a 0 to the denominator:</u>

\frac{25t}{25} = \frac{125}{250}

t = \frac{125}{250}

Simplifying!

\frac{125}{250} = \frac{1}{2}.

Thus, t has the value of $\boxed{\frac{1}{2} }$.

7 0
3 years ago
A friend claims that it will rain today with probability 30% and tomorrow with probability four times as great as today. Which o
alexgriva [62]

Answer:

The claim cannot be true because any probability is between 0 and 1

Step-by-step explanation:

Probability is a concept used to mathematically provide a measure or determine the possibility that an event will occur. However, due to the nature of upcoming events, it is almost impossible to predict some events with absolute certainty, therefore, the chance of an event can be predicted based on the likelihood of the event occurring with probability values ranging from 0 to 1 or 0% to 100%. Where a value of 0 or 0% shows that it is certain that the event will not occur, while 1 or 100% indicates that it absolutely certain that an event will occur.

6 0
2 years ago
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