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kirill115 [55]
2 years ago
11

Find the vertex of the given function.

Mathematics
1 answer:
IRISSAK [1]2 years ago
4 0

<em>The </em><em>vertex of the function is at (5, 10)</em>

<em>For the function, th</em><em>e domain exists </em><em>on all </em><em>real numbers</em><em> while the range exist for the value</em><em> f(x) ≥ 10</em>

<h3>Vertex, domain and range of a function</h3>

The vertex of a quadratic or linear function is in the form

y =  a(x – h)^2 + k

where;

(h, k) is the vertex of the function

Given the function expressed as;

f(x) = |x-5| + 10

On comparison, you can see that h = 5 and k =10, hence the vertex of the function is at (5, 10)

<u>For the domain and range</u>

Domain are the dependent variable for which a function exist while the range is the independent variable for which a function exist.

For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10

Learn more on vertex, domain and range here: brainly.com/question/544653

#SPJ1

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Please help me answer the question 9 though 10
olchik [2.2K]

Answer:

9) slope of AC = slope of FH

Equation of the line is y = - x + 5

10) Area = 320

Step-by-step explanation:

For 9, the only thing similar IS the slope of the hypotenuse because the triangles are along the same line. Unless they're asking for the equation of the line, then that's just using the point slope equation which is:

y = - x + 5

For 10, just multiply 4 and 5 by 4 to get 16 and 20. Then multiply 16 and 20 to get 320.

8 0
3 years ago
Which equation represents a line which is perpendicular to the y-axis?
snow_lady [41]
The answer will be Y= x - 4
7 0
3 years ago
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What are the square roots of 64/144 ?
nordsb [41]

Answer: third option

Step-by-step explanation:

To solve the problem you must apply the proccedure shown below:

- Descompose the numerator and the denominator of the given fraction into its prime numbers:

64=2*2*2*2*2*2\\144=2*2*2*2*3*3

Then you can rewrite:

64=2^6\\144=2^4*3^2

Then:

\±\sqrt{\frac{{2^6}}{{2^4*3^2}}}=\±\frac{2^3}{2^2*3}=\±\frac{8}{4*3}=\±\frac{8}{12}

Therefore, the answer is: -\frac{8}{12}\ and\ \frac{8}{12}

4 0
4 years ago
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Imamu pays $30 each month for his gym membership. What is the change in the amount of money in his account after 2/3 of a year
Alchen [17]
The answer is $240 because 2/3 in a years have 8 month so just multiply 3*8  which give you 24 and just add a zero.

Your answer is: $240.


Thank you 

                                                                   Have a great day :).
4 0
3 years ago
Is this the right answer??
blsea [12.9K]

Answer:

$135.01

Step-by-step explanation:

A mark up of 100% means that the price was doubled.

58.7*2=117.4

To add sales tax to a price (p) you need to do p+(sales tax * p)

117.4+.15(117.4)

135.01

8 0
3 years ago
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