Answer:
a^3b+a^2b+b^3
Step-by-step explanation:
A fourth degree polynomial has the highest power of degree 4 when you sum the powers in each term
) a^6+a^5b+a^4b^2+a^3b^3 degree 6
2) a^3b+a^2b+b^3 3+1 = 3 degree 4
3) a^4+a^2b^3 2+3 = degree 5
4) 4a^3 degree 3
Answer:
$4.27
Step-by-step explanation:
Using the absolute value function, we have that:
- The absolute value inequality is: |x - 5| ≤ 0.2.
- The compound inequality is 4.8 ≤ x ≤ 5.2.
<h3>What is the absolute value function?</h3>
The absolute function is defined by:
It measures the distance of a point x to the origin.
The diameter must be at least 4.8mm and at most 5.2mm, hence the compound inequality is:
4.8 ≤ x ≤ 5.2.
Another interpretation is that they are at most 0.2 mm from 5 mm, hence the absolute value inequality that models the situation can be given by:
|x - 5| ≤ 0.2.
More can be learned about the absolute value function at brainly.com/question/28396388
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Hello there!
2y + 4 = 0
2y = -4
y = -2
My assumption is that you'd graph this as a horizontal line at (0,-2) but PLEASE double check with your teacher/instructor because I'm not sure if I'm right.
Hope this helped!
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DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
Answer:
∠ 1 = 65°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
5x - 10 is an exterior angle of the triangle, then
5x - 10 = 3x + 40 ( subtract 3x from both sides )
2x - 10 = 40 ( add 10 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
The sum of the 3 angles in a triangle = 180° , so
∠ 1 + 40 + 3x = 180°
∠ 1 + 40° + 3(25) = 180°
∠ 1 + 40° + 75° = 180°
∠ 1 + 115° = 180° ( subtract 115° from both sides )
∠ 1 = 65°
