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Burka [1]
3 years ago
10

What is the measure of X?

Mathematics
1 answer:
AnnZ [28]3 years ago
3 0

Answer:

A. 25.7°

Step-by-step explanation:

the sum of straight angle is 180°.

so, i subtract 154.3 from 180.

i get 25.7 °

You might be interested in
Can someone help me with this? I need to find the points of discontinuity/limits for each of these. I think one point is 4, but
Debora [2.8K]
The answers are shown in the attached image

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

Explanation:

Set the denominator x^4-8x^3+16x^2 equal to zero and solve for x

x^4-8x^3+16x^2 = 0
x^2(x^2-8x+16) = 0
x^2(x-4)^2 = 0
x^2 = 0 or (x-4)^2 = 0
x = 0 or x-4 = 0
x = 0 or x = 4

The x values 0 and 4 make the denominator zero

These x values lead to asymptote discontinuities because the numerator 8x-24 = 8(x-3) has no common factors which cancel with the denominator factors.

There are two vertical asymptotes

Let's see what happens when we plug in a value to the left of x = 0, say x = -1, we'd get
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(-1) = (8(-1)-24)/((-1)^4-8(-1)^3+16(-1)^2)
f(-1) = -1.28
So as x gets closer and closer to x = 0 from the left side, the f(x) is heading to negative infinity

Now plug in some value to the right of x = 0. I'm going to pick x = 1
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(1) = (8(1)-24)/((1)^4-8(1)^3+16(1)^2)
f(1) = -1.78 (approximate)
So as x gets closer and closer to x = 0 from the right side, the f(x) is heading to negative infinity

Overall, as x approaches 0 from either the left or right side of x = 0, the y value is heading off to negative infinity

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

Repeat for values to the left and right of x = 4
We can't use x = 1 as it turns out that x = 3 is a root
But we can use something like x = 3.5 to find that...
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(3.5) = (8(3.5)-24)/((3.5)^4-8(3.5)^3+16(3.5)^2)
f(3.5) = 1.31 approx
So as x gets closer to x = 4 from the left, y is getting closer to positive infinity

Plug in x = 5 to find that
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(5) = (8(5)-24)/((5)^4-8(5)^3+16(5)^2)
f(5) = 0.64
which has the same behavior as the left side

So overall, as we approach x = 4, the y value is heading off to positive infinity

Again everything is summarized in the image attachment

Note: you could make a table of more values but they would effectively say what has already been said. It would be redundant busy work. However, its always good practice for function evaluation. 

6 0
3 years ago
quien me ayuda explicando el proceso de realizar esta funcion cuadratica para encontrar el vertice y=−4x−5
irina1246 [14]

Answer:

-9

Step-by-step explanation:

8 0
3 years ago
Can u guys tell me what 1/4 + 1/8 is cause im in a bind right now pls
Naily [24]

Answer:

3/8

Step-by-step explanation:

1/4 is equal to 2/8.

2/8 + 1/8 = 3/8

I would appreciate brainliest but if not that's ok!

3 0
3 years ago
Read 2 more answers
For the summer camp, Josie orders 45 sets of markers. One -fifth of the sets need to go to the office 2/3 of the sets go to the
Degger [83]

Answer:

6 sets

Step-by-step explanation:

(“of”=multiply)

Step 1.

1/5 of 45 sets = 45 x 1/5 = 9 sets.

Step2.

2/3 of 9 sets = 9 x 2/3 = 6 sets

Final Answer:

6 sets

7 0
3 years ago
Hello!
jarptica [38.1K]

Answer: The Answer is in a fraction form

Step-by-step explanation:

9/73

6 0
3 years ago
Read 2 more answers
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