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3 years ago

Plato math help please

Mathematics

1 answer:

irakobra [83]3 years ago

5 0

Answer:

The function's graphic is the one that is below the first one in th right.

Step-by-step explanation:

If we want to know how much Chelsea earns for dogsitting her neighbours' dogs, we have to form a linear equation, that must have the following formula:

$y= ax + b$

In this case, B is the constant value. We know Chelsea charges 12$ for dogsitting, and that doesn't depend on anything (B). But, if you want to Chelsea to walk your dog, then you'd to pay 2.50$ for each walk (X).

$y= 2.50x + 12$

So, if Chelsea doesn't walk the neighbour's dog (x=0), she would be earning 12 dolars.

$y= 2.50 x 0 + 12 = 12$

If she walks four times the dog, she would be earning:

$y= 2.50 x 4 + 12 = 10 + 12 = 22$

Knowing these two values, we can graph the equation. When x=0, y=12, and when x=4, y=22

The function's graphic is the one that is remarked in the attachment.

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Please Help! Thanks!

svetlana [45]

Answer:

C, 20 units

Step-by-step explanation:

We see that both angles QRS and QTR are 90 degrees. In addition, angles SQR and RQT are equivalent (because they're both angle Q).

By AA Similarity, we know that triangle QTR is similar to triangle QRS.

With this similarity in mind, we can look at the ratios of corresponding lengths to set up a proportion. QR from triangle QTR is the hypotenuse, and it corresponds to hypotenuse QS from triangle QRS. So, we can write the ratio x/(9 + 16) = x/25.

Now, we see that long leg QT of triangle QTR corresponds to long leg QR of triangle QRS. So, another ratio we can write is: 16/x.

Finally, we set these two ratios equal to each other:

$\frac{x}{25} =\frac{16}{x}$

Cross-multiplying, we get: $x^{2} =16*25=400$ .

Thus, x = $\sqrt{400} =20$ . The answer is C, 20 units.

Hope this helps!

4 0

3 years ago

Read 2 more answers

In a mathematics class, half of the students scored 79 on an achievement test. With the exception of a few students

Yakvenalex [24]

In this situation, you have:
The mode is 79 (that’s the most common number).
The median is 78.5 (the middle value or the average of the two middle values, since there is an even number of test scores).
The mean is less than both of those, as it was brought down by the few scores of 49.

The means the mean will be less than median.

Answer: C

3 0

3 years ago

Solve the differential equation.<br><br> (y^2 + xy^2)y' = 1

stira [4]

$(y^2 + xy^2)y' = 1 \ \Rightarrow\ (y^2 + xy^2)\frac{dy}{dx}= 1 \ \Rightarrow\\ \\
y^2(1 + x) \frac{dy}{dx} = 1 \ \Rightarrow\ y^2 dx = \frac{dx}{1 + x}\ \Rightarrow \\ \\
\int y^2 dx =\int \frac{dx}{1 + x} \ \Rightarrow\ \frac{1}{3}y^3 = \ln|1+x| + C\ \Rightarrow \\ \\
y^3 = 3 \ln|1 + x| + 3C\ \Rightarrow\ y = \sqrt[3]{3\ln|1+x| + K},\ \text{where $K = 3C$}
$

6 0

3 years ago

Solve. 1,032 divided by 24 Enter the answer in the box.<br> Response area with 1 text input box

AlexFokin [52]

Answer:

$258\quad \mathrm{Remainder}\quad \:0$

Step-by-step explanation:

$\frac{1032}{4} \\\\\begin{matrix}4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\\mathrm{Divide}\:10\:\mathrm{by}\:4\:\mathrm{to\:get}\:2\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\$

$\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:4\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\underline{\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end$