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Mandarinka [93]
3 years ago
14

Urgent help needed...............

Mathematics
2 answers:
larisa86 [58]3 years ago
8 0

Answer:

The domain of the function is given by the expression in alternative B

Step-by-step explanation:

The domain of a function is defined as the set of x-values for which the function is real and defined. For the given rational function, the function will not be defined if the function in the denominator assumes a value of zero.Therefore, the function will not be defined whenever; x(x^2-49)=0. Solving for x yields; x=0 and x=±7. This implies that the domain of the rational function is the set of all real numbers except where x=0 and x=±7. These are points of discontinuity

andreyandreev [35.5K]3 years ago
7 0

Answer:

Option b is correct

\{x | x \neq \pm 7, x\neq 0\}.

Step-by-step explanation:

Domain is the set of all possible values of x where function is defined.

Given the function:

h(x) = \frac{9x}{x(x^2-49)}

To find the domain of the given function:

Exclude the values of x, for which function is not defined

Set denominator = 0

x(x^2-49) = 0

By zero product property;

x = 0 and x^2-49= 0

⇒x = 0 and  x^2 =49

⇒x = 0 and x = \pm 7

Therefore, the domain of the given function is:

\{x | x \neq \pm 7, x\neq 0\}

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I need help with this, please!
Vera_Pavlovna [14]

Option D: x \geq 3 is the solution

Explanation:

The given expression is 3 x-1 \geq 8

We need to determine the solution of the expression.

<u>Solution:</u>

The solution of the expression can be determined by solving the expression for the variable x.

Thus, we have,

3 x-1 \geq 8

Adding both sides of the expression by 1, we get,

3x\geq 9

Dividing both sides of the expression by 3, we get,

x \geq 3

Thus, the solution of the expression is x \geq 3

Hence, Option D is the correct answer.

6 0
3 years ago
A coffe table is on sale for 20% off the orgingial price of $115. If there is 7.5% sales tax, what is the original price of the
Anuta_ua [19.1K]

Answer: 98.90

Step-by-step explanation:

115*.2=23

115-23=92

0.075*92=6.9

6.90+92=$98.90

3 0
3 years ago
Dante took three tests on Friday. He got a 92% on his English test, an 88% on his math test and a 90% on his science test Write
Burka [1]
.88, .90, .92
when you need to find a decimal of a percentage. start at the percentage sign and move the decimal point two places to the left..
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8 0
4 years ago
If f(x)=-x+7 then does 2f(x)=-2x+14
miskamm [114]

Answer:

Yes

Step-by-step explanation:

2(x + 7) = 2x+14

3 0
3 years ago
Which relation is a function?
NARA [144]

Answer:

A function means that we get one input and one output.  In this example that means for every x-value that we have, we only have one y-value.

Looking at the first option, we can see that there is no x-value that has more than one y-value which means that it is a function.

The rest of the options are seen with at least two values for one x-value in one of the points.  Therefore, they wouldn't be considered a function leaving us with only option A as the solution.

8 0
2 years ago
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