Can somebody help with this math homework

For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7

Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be approaching to a value $\infty$ or it should not give us the $\frac{0}{0}$ (zero by zero) form when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value $\infty$ or $\frac{0}{0}$ (zero by zero) form

So, for all real numbers, the function is defined.

$2.\ \dfrac{18}{y}$

At y = 0, the value

$At\ y =0, \dfrac{18}{y} \rightarrow \infty$

So, the given function is defined for all real numbers except y = 0

$3.\ \dfrac{1}{x+7}$

Let us consider denominator:

x + 7 can be zero at a value x = -7

$At\ x =-7, \dfrac{1}{x+7} \rightarrow \infty$

So, the given function is defined for all real numbers except x = -7

$4.\ \dfrac{2b}{10-b}$

Let us consider denominator:

10-b can be zero at a value b = 10

$At\ b =10, \dfrac{2b}{10-b} \rightarrow \infty$

So, the given function is defined for all real numbers except b = 10

7 0

3 years ago

A model of a famous statue is 1 1/2 inches tall. The actual statues is 3 3/4 feet tall. What is the ratio of the height of the m

Fittoniya [83]

2.5 because 1.5 x 2.5 = 3.75

3 0

3 years ago

IMPORTANT IMPORATANT PLZZZ HELPPP

Gekata [30.6K]

Answer:

Step-by-step explanation:

Your answer is the first picture (upper left)

8 0

2 years ago

Hey can someone help me ?

morpeh [17]

Sure what do u need help with?

6 0

2 years ago

the bottom of a ladder must be placed 10 feet from a building. The ladder is 26 feet. How far above the ground does the ladder t

Sauron [17]

Answer:

The ladder touches the wall at 24 feet from the ground.

Step-by-step explanation:

The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.

In any right triangle, we can apply Pythagora's theorem to find any missing side length.

The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:

$26^2=10^2+H^2$

Calculating:

$676=100+H^2$

Solving:

$H^2=676-100$

$H^2=576$

$H=\sqrt{576}$

H=24 feet

The ladder touches the wall at 24 feet from the ground.

8 0

3 years ago