We know that
<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
(2x-5)+(4x-1)+30=180
6x+24=180
6x=156
x=26°
the answer is
x=26°
Answer:
<h2>x³ + 8x² - 3x - 24 = (x + 8)(x - √3)(x + √3)</h2>
Step-by-step explanation:

Answer:
Increasing if f' >0 and decreasing if f'<0
Step-by-step explanation:
Difference quotient got by getting
will be greater than 0 if function is increasing otherwise negative
Here h is a small positive value.
In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.
Here given that for x1, x2 where x1<x2, we have
if f(x1) <f(x2) then the function is decreasing.
Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.
F(-2)+g(5) = 3(-2) -1 + (-5) + 6
f(-2)+g(5) = -6 -1 - 5 + 6
f(-2)+g(5) = -6
Part 1
Answer: -9
---------------------------
Explanation:
Let's focus on evaluating first. We need to look at the table and locate f(x) = 13. So we're looking in the f(x) row where 13 shows up. That's in the second to last column. Right above that we have x = 5
This means f(5) = 13 and The inverse undoes the f(x) function. So the input x and output y values swap places. This is why we're reading the table in reverse.
<em>We can replace all of </em>
<em> </em>
<em> with 5 to go from </em>
<em> to </em>
<em> </em>
<em>Then we repeat the process of using the table. Locate 5 in the f(x) row. This is in the last column. The value above that is x = -9.</em>
<em>So f(-9) = 5 and </em>
<em>Overall, </em>
===============================================
Part 2
Answer: -13
---------------------------
Explanation:
Same idea as before. Locate 8 in the f(x) row. The value above this is x = -13
<em>This means f(-13) = 8 and </em>