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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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The planner needs a clearance of 9 feet under the arch. Has the planner met the minimum height?
Assoli18 [71]

Answer:

Yes,planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

Step-by-step explanation:

The question is incomplete as all the details have not been given in the question.I have attached the complete question and its options at the bottom. Consult in for better understanding.

As we can see that at the mid value, for x=4, the value of f(x)=9.4

It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.

It means that the planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

4 0
4 years ago
What is the length of side AC of the triangle?
ryzh [129]

Answer:

AC = 25 units

Step-by-step explanation:

Given ∠ A = ∠ C then the triangle is isosceles and BC = AB , that is

7x - 1 = 5x + 5 ( subtract 5x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Then

AC = 6x + 7 = 6(3) + 7 = 18 + 7 = 25 units

3 0
3 years ago
What number multiplied by itself three times equals 128?
LekaFEV [45]
This is an easy one!

Three times a number = 128

3x = 128

x = 128/3

x = 42.66666.

Hope this helps!
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12(x+4)+3(-3-2x)=71 what does x equal
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X=3 let me know if this is right ;)
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4 years ago
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Carol walks a circular path with a radius of 280 yards at the local park how far does she walk
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