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3 years ago

Help please! Quick math question

Mathematics

1 answer:

son4ous [18]3 years ago

6 0

$\huge\mathfrak\red {Answer:}$

If the angle above b is 54° then,

(Corresponding angles of a parallel line)

(Cause <b and 54° form a linear pair which is 180° and 180° -54° = 126°)

$\mathfrak\purple {Hope\: this\: helps\: you...}$

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The notation f:S→T denotes that f is a function, also called a map , defined on all of a set S and whose outputs lie in a set T

AnnyKZ [126]

Answer:

There are many. Two examples are

$f(x) = x, \\f(x) = x^3$

Step-by-step explanation:

There are many examples. The simplest is

1 -

$f(x) = x$

It is trivial that

$\text{if \,\,\,\,} f(x) = f(y) \,\,\,\,\,\text{then} \,\,\,\,\, x=y$

2 -

$f(x) = x^3$

That function is injective as well.

$\text{if \,\,\,\,} x^3 = y^3 \,\,\,\,\,\text{then} \,\,\,\,\, x=y$

An example of a function that is NOT injective is

$f(x) = x^2$

Notice that

$f(-2) = (-2)^2 = 2^2 = 4$

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3 years ago

Determine if (-2,6) and (4,12) are solutions to the system of equations:

kykrilka [37]

Answer:

Both $(-2,6)$ and $(4,12)$ are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug $(-2,6)$ into $y=x+8$

$(6) = (-2)+8 = 6$

The solution verifies the equation.

Step 2: Plug $(-2,6)$ into $2y=x^2 + 8$

$2(6) = (-2)^2+8=4+8=12$

The solution verifies both equations. Therefore, $(-2,6)$ is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug $(4,12)$ into $y=x+8$

$(12) = (4)+8 = 12$

Step 4: Plug $(4,12)$ into $2y=x^2 + 8$

$2(12) = (4)^2+8=16+8=24$

The solution verifies both equations. Therefore, $(4,12)$ is another solution to this system.

3 0

3 years ago

People get energy from the food they eat. This energy is measured in calories. When you exercise, you use up or burn calories. T

seropon [69]

Answer:

360

Step-by-step explanation:

There are 60 minutes in 1 hour, so 2 hours = 120 minutes.

Multiply 120 by 3 and you get 360.

They would burn 360 calories doing 2 hours of bowling.

3 0

3 years ago

Using a graph, table of values, and/or equations solve the following problem.

olchik [2.2K]

Answer:

n = 11/3

Step-by-step explanation:

n = certain number

6n - 1 = 21

6n = 22

n = 22/6 or 11/3

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2 years ago

I have a time limit please hurry!

kumpel [21]

The domain of the relation is 7,13 and the range of the relation is 4,20. I hope this helps.

4 0

2 years ago