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3 years ago

If x = 2 and y = 1, then 3(y – 1) + 2x2 =

Mathematics

2 answers:

abruzzese [7]3 years ago

6 0

3(1-1) +2x2

3-1+4

2+4=6

masha68 [24]3 years ago

3 0

Another Question! :)

You would substitute 2 for x in the equation and I for y in the equation.

3(y - 1) + 2x 2 =

3(1 - 1) + 2(2) x 2 =

3(0) + 4 x 2 =

0 +8 =

Your answer would be 8.

Hope I helped! :)

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The family of functions y = ce^{-2x} + e^{-x} is solution of the equation y' + 2y = e^{-x}. Find the constant c which defines th

Rufina [12.5K]

Answer:

$c = 1190.2$

Step-by-step explanation:

We have the following solution:

$y(x) = ce^{-2x} + e^{-x}$

We want to find the value of x that satisfies the following condition:

y(3) = 3.

This means that when x = 3, y = 3. So

$y(x) = ce^{-2x} + e^{-x}$

$y(3) = ce^{-2*3} + e^{-3}$

$3 = ce^{-6} + e^{-3}$

$3 = ce^{-6} + 0.0498$

$ce^{-6} = 2.9502$

$c = \frac{2.9502}{e^{-6}}$

$c = 1190.2$

4 0

3 years ago

107,600 115,220 104,910 median, mode, mean

san4es73 [151]

Answer:

1. Mean = 342.7 (Rounding to the nearest tenth)

2. Median = 167.5

3. Mode = There isn't a mode for this set of numbers because there isn't a data value that occur more than once.

Step-by-step explanation:

Given this set of numbers: 107, 600, 115, 220, 104, 910, find out these measures of central tendency:

1. Mean = 107 + 600 + 115 + 220 + 104 + 910/6 = 342.7 (Rounding to the nearest tenth)

2. Median. In this case, we calculate it as the average between the third and the fourth element, this way:

115 + 220 =335

335/2 = 167.5

3. Mode = There isn't a mode for this set of numbers because there isn't a data value that occur more than once. All the data values occur only once.

5 0

3 years ago

What is the determinant of 15 18 154

IgorC [24]

Answer:

The determinant is 15.

Step-by-step explanation:

You need to calculate the determinant of the given matrix.

1. Subtract column 3 multiplied by 3 from column 1 (C1=C1−(3)C3):

$\left[\begin{array}{ccc}-25&-23&9\\0&3&1\\-5&5&3\end{array}\right]$

2. Subtract column 3 multiplied by 3 from column 2 (C2=C2−(3)C3):

$\left[\begin{array}{ccc}-25&-23&9\\0&0&1\\-5&-4&3\end{array}\right]$

3. Expand along the row 2: (See attached picture).

We get that the answer is 15. The determinant is 15.

6 0

3 years ago

Please help me with this!

blsea [12.9K]

Answer:

180

Step-by-step explanation:

So, lets go over what we know:

5% of x = 9

Thinking of this in decimal form, this is:

0.05 * x = 9, or 0.05x = 9

To find the answer, we must multiply both sides to get 1x.

Since 0.05 is 1/20 of 1, we must multiply both sides by 20:

0.05x * 20 = 0 * 20:

1x = 180

So the answer is 180!

Hope this helps!

7 0

3 years ago

PLATO !!!! Which restricted domain would allow you to define the inverse cosine function?

lawyer [7]

Answer:

0 ≤ x ≤ π

Step-by-step explanation:

In order to define the inverse cosine functions, the domains of the cosine functions are restricted.

One major condition to define an inverse of a function is that the original function must be one‐to‐one which means that one value from the domain should correspond to only one value in the range.

So we have a restriction that is placed on the values of the domain of the cosine function which is the following:

0 ≤ x ≤ π

4 0

3 years ago