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vaieri [72.5K]
1 year ago
13

Find The Domain Find the Value

Mathematics
1 answer:
laila [671]1 year ago
3 0

1a) The domain is a set of all real numbers not equal to 5

1b) The domain is a set of all real numbers not equal to 4

<h3>What is the domain of the function?</h3>

Domain of a function is the set of all possible input values that make the function defined.

1a) We are given the function;

C(x) = -3²/(x - 5)

The domain will be a set of values that makes the denominator not equal to zero. Thus;

The domain is a set of all real numbers not equal to 5

1b) The function is; R(x) = 4x/(3x - 12)

The domain will be a set of values that makes the denominator not equal to zero. Thus;

The domain is a set of all real numbers not equal to 4

2a) Function is;

f(x) = (x + 8)/(2x - 1)

f(2) = (2 + 8)/(2(2) - 1)

f(2) = 10/3

f(0) = (0 + 8)/(2(0) - 1)

f(0) = -8

f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)

f(-1/2) = -15/4

2b) Function is;

r(t) = (t² + 8)/(t³ - 25t)

r(3) = (3² + 8)/(3³ - 25(3)) = -17/48

r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7

r(-1) = ((-1)² + 8)/((-1)³ - 25(-1))  = 9/24 = 3/8

Read more about Domain of function  at; brainly.com/question/10197594

#SPJ1

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kicyunya [14]
To find out if they are parallel we need to see if the gradient is the same, to do this we need to get y in terms of x:
assuming the first equation is x+y+7=0
y=-x-7
and
y=x-3
The gradient is the coefficient of x (the number infront of x)
For equation 1 the gradient is -1, and for number 2 it is 1, therefore they are not parallel.
However to check if they are perpendicular we need to see if their gradients multiply to equal -1.
-1*1=-1 therefore they are perpendicular
5 0
2 years ago
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Which statement best illustrates using the vertical line test to determine if the graph below is a function of x ?
kirill115 [55]

If something is a function, every x-value, only has one (1) y-value. If the line x = 0 intersects the graph in two points, there are to values for y (instead of one). Therefore the graph is not a function of x.


Your answer is A.


4 0
3 years ago
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Roy planted corn on 1/5of his land. If he planted45 acres of corn, how many acres of land doeshe have?(A) 90(B) 112 (1/2)(C) 135
melisa1 [442]

Correct option is C. He has 225 acres of land .

Let the Number of acres of land Roy have = x

As he planted corn on  1/5  of his land,

Number of acres of his land planted with corn =  1/5  × Number of acres of land Roy have

=  x/5

As he planted 45 acres of his land with corn,

⇒ x/5​

 = 45

⇒x = 45 × 5

⇒x = 225

Therefore, number of acres of land Roy have is   225  .

To learn more about fraction from given link

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4 0
1 year ago
What equation could be used to solve for the length of XY?
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The as were is XY=22/sin(4)
8 0
3 years ago
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Pls help!! look at photo
monitta

Answer:

2 : 1

Explanation:

\sf area \ of \ sector: \dfrac{\theta}{360} \pi r^2

<u>1st sector</u>:

\sf \rightarrow area: \dfrac{80}{360} \pi (8)^2  = 44.68 \ cm^2

<u>2nd sector</u>:

\sf \rightarrow area: \dfrac{160}{360} \pi (4)^2  = 22.34 \ cm^2

Ratio of 1st sector to 2nd sector:

44.68 : 22.34

2 : 1

7 0
2 years ago
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