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Elis [28]
2 years ago
15

For what values of x is f(x) = 0?

Mathematics
1 answer:
padilas [110]2 years ago
8 0

Answer:

x=1  and x =5

Step-by-step explanation:

We want to know when it crosses the x axis  (f(x) =0)  .  From the graph, we can see the x value when y=0  is  x=1  and x =5

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can someone explain the proses of solving this? I don't need the answer but a step-by-step explanation would be super helpful!
Klio2033 [76]

Part 1

Focus on triangle ABC.

Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.

Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.

Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees

<h3>Answer: 66</h3>

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

Part 2

Inscribed angle CBA was found to be 66 degrees back in part 1.

This doubles to 132 degrees to represent minor arc AC.

Or you could note that:

minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132

Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.

-----------

Here's what we know about the arc measures of the circle

  • minor arc AC = 132 degrees
  • minor arc CB = 48 degrees
  • minor arc BD = 96 degrees

These three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.

Adding those 3 pieces gets us 132+48+96 = 276

This means minor arc AD has to be 360 - 276 = 84 degrees

Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD

84/2 = 42

<h3>Answer:  42</h3>

6 0
1 year ago
Evaluate the expression 3⋅f(−4)−3⋅g(−2)
wel

Answer:

-6g

Step-by-step explanation:

3 0
3 years ago
Pets R Us claims in their advertisement that they have the best price in town for ChowChow dog food. They sell 20-pound bags for
Ilya [14]

Answer:

stuff4pets has better price by 2 cents

Step-by-step explanation:

unit rate for chowchow is 16.95/20 = $.85 per pound

unit rate for stuff4pets is 24.95/30 = $.83 per pound

4 0
2 years ago
Read 2 more answers
Select all the equations below that have a slope of -5.
Zanzabum

Answer:

B and C

Step-by-step explanation:

they have -5x,   it doesn't really matter on their order

7 0
3 years ago
Compare and Contrast how you would factor x^2−9 and x^2+9. For full credit, make sure you explain why they are factored differen
marishachu [46]

The factored form of the expression x^2 - 9 is (x+3)(x-3)

The expression x^2 + 9 has no real roots hence cannot be factored

Quadratic equations are equations with a degree of 2.

Given the quadratic function x^2-9 \ and \ x^2+9

For the function x^2 - 9

=x^2-9\\=x^2-3^2

Using the difference of two squares:

a^2-b^2=(a-b)(a+b)\\x^2-3^2=(x-3)(x+3)

For the expression x^2 + 9

The expression x^2 + 9 has no real roots hence cannot be factored

Learn more on factorization here: brainly.com/question/20293447

7 0
2 years ago
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