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3 years ago

What is the domain of this graph?

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

5 0

$\rm{\pink{\underline{\underline{\blue{TO\:FIND:-}}}}}$

The domain of the attachment graph .

$\rm{\pink{\underline{\underline{\blue{SOLUTION:-}}}}}$

The method to identify the domain and range of functions is by using graphs :-

⚡ The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis .

⚡ The range is the set of possible output values, which are shown on the y-axis .

See the attachment figure .

[NOTE :- Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values .]

✍️ So, we can observe that the graph extends horizontally from -3 to the right with +10 .

✯ Hence, the domain is [-3 , 10] .

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A: Area
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2 years ago

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Given vertices A(0,0), B(5,0),C(0,5), determine whether triangle ABC is a right triangle. a. yes c. insufficient information b.

yaroslaw [1]

Answer:

Yes, this triangle is a right triangle.

Step-by-step explanation:

Side AB lies on the x-axis and is thus horizontal. Side AC lies on the y-axis and is thus vertical. Sides AB and AC are therefore perpendicular to each other. This alone is enough info for us to conclude that this is a right triangle.

Side BC could be thought of as the hypotenuse.

7 0

3 years ago

Please help!!!!<br><br>what is the least common denominator of 1/6, 10/11, 5/12?<br>

Vesna [10]

<h3>Answer: LCM = 132</h3>

===================================================

Work Shown:

LCM = least common denominator

List out the prime factorization of each denominator

6 = 2*3
11 = 1*11
12 = 2*2*3

So we have the list of primes 2,3, and 11 that help form the denominators when we multiply some of them together.

The prime 2 shows up at most twice, so 2*2 = 4 is a factor of the LCM

The prime 3 shows up at most one time, meaning 3 is also a factor

The prime 11 shows up at most one time, so 11 is another factor

Multiply these factors to get 4*3*11 = 12*11 = 132

The LCM is 132

---------------------

Another Approach:

Focus on 1/6 and 10/11 for now. The LCM is 66 because 6*11 = 66. We simply multiply the denominators together. Then we divide over the GCF 1 to get 66/1 = 66.

The LCM of 1/6 and 10/11 is 66

The fractions 1/6 and 10/11 are equivalent to 11/66 and 60/66 respectively

The original list of fractions updates to 11/66, 60/66, 5/12

We've gone from 3 different denominators to now 2 different denominators.

Repeat the steps of multiplying the denominators and dividing by the GCF

66*12 = 792

792/(gcf of 66 and 12) = 792/6 = 132

So the LCM of all the fractions is 132.

3 0

3 years ago

What is t÷5-4=9 what is t ??

Sophie [7]

Add 4 to boh sides
t/5+4-4=9+4
t/5+0=13
t/5=13
times 5/1 both sides
5t/5=5*13
1t=65

t=65

7 0

3 years ago

What is the domain of this graph? ​

What is the domain of this graph?