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3 years ago

Test each statement below to see if it is reversible. If so, write it as a true biconditional. If not, write not reversible

Mathematics

2 answers:

gavmur [86]3 years ago

4 0

the correct answer for 1. is true

the correct answer for 2. is false

FinnZ [79.3K]3 years ago

3 0

Statement: Complementary angles are two angles with measures that have a sum of 90.
Reverse: Two angles with measures that have a sum of 90 are complementary angles.

Here the reverse is true, therefore, the statement is true biconditional.

Statement: A rectangle is a four-sided figure with at least one right angle.
Reverse: A four sided figure with at least one right angle is a rectangle.

Here, the reverse is not true, therefore, the statement is not reversible.

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PLEASE HELP ASAP!!!!!!

zhannawk [14.2K]

The answer is A to change an exponent from negative to positive, just move it into either the numerator or denominator depending on where it is to begin with.

7 0

2 years ago

Read 2 more answers

What are the points of discontinutity y=(x-3)/x^2-12x+27

madreJ [45]

Answer:

$(3, -\frac{1}{6})$

Step-by-step explanation:

We can rewrite the equation as

$y = \frac{x - 3}{(x - 3)(x - 9)}$

Notice that we have $x - 3$ in both the numerator and the denominator, so it looks like we can divide it out. However, what if $x - 3$ is $0$ ? Then we would have $y = \frac{0}{0 \times (x - 9)} = \frac{0}{0}$ , which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for $x = 3$ , but this one is not).

A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at $x = 3$ . In the simplified version of the function, if we plug in $x = 3$ , we get

$y = \frac{1}{((3) - 9)} = -\frac{1}{6}$

So the point $(3, -\frac{1}{6})$ is our only point of discontinuity.

It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at $x = 9$ (since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of $x$

5 0

2 years ago

Read 2 more answers

In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

4 0

3 years ago

The function (t) = 300,000t represents the distance (in kilometers) that light travels in t seconds

Anika [276]

Answer:

The answer is: 4,500,000 kilometers or in scientific notation: 4.5 x 10^6 kilometers.

Step-by-step explanation:

Multiply to get the answer:

300,000 * 15 =

4,500,000 km

In scientific notation: 4.5 x 10^6

4 0

2 years ago

there are 800 students at weaver middle school. to determine which mascot name is preferred by the students at the school, each

daser333 [38]

Answer:

This would not be an appropriate sampling technique because it is biased and it would not be fair for 60 students to choose a mascot for a school with 800 students.

Step-by-step explanation:

3 0

2 years ago