9514 1404 393
Answer:
-15, 3
Step-by-step explanation:
3|x+6| -7 = 20
3|x +6| = 27 . . . . add 7
|x +6| = 9 . . . . . . divide by 3
This resolves to two equations:
x + 6 = 9
x = 3 . . . . . subtract 6
and
x + 6 = -9
x = -15 . . . . subtract 6
Answer:
see explanation
Step-by-step explanation:
To evaluate f(- x) substitute x = - x into f(x)
f(- x) = (- x)² + 2(- x) + 3 = x² - 2x + 3
-----------------------------------------------------
- f(x) = - (x² + 2x + 3) ← distribute parenthesis by - 1
= - x² - 2x - 3
-----------------------------------------------------------
- f(- x) ← substitute f(- x) from above
= - (x² - 2x + 3) ← distribute parenthesis by - 1
= - x² + 2x - 3
The function of the polynomial is (b) 
From the graph, we have the following highlights
- The graph crosses the x-axis at x = -1 and x = 3
- The graph touches the x-axis at x = -2
The above highlights mean that:
- The function has a multiplicity of 1 at x = -1 and x = 3
- The function has a multiplicity of 2 at x = -2
So, the function of the polynomial is:
Assume a = 1.
So, we have:
Multiply
Hence, the function of the polynomial is (b)
Read more about polynomial graphs at:
brainly.com/question/8878887
Answer:
28. 120 degrees
29. 30 degrees
30. 56 degrees & 124 degrees
31. 72 degrees, 108 degrees, and 18 degrees
Step-by-step explanation:
We assign variable x for the answer we are looking for (28-29).
28.
Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.
29.
Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.
30.
Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.
31.
Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees. Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees. Therefore, x = 72 degrees, y = 108 degrees.
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>Find g(-9):</u>
- g(-9) = (-9)² + 3(-9) = 81 - 27 = 64
