Answer: 5x + 15
<u>Step-by-step explanation:</u>
Divide (x² + 5) into (x³ + 4x² + 5) to see what is needed to make a remainder of zero.
Let k represent the unknown number.
<u> x + 4 </u>
x² + 5 ) x³ + 4x² + 0x + 5+k
- <u>(x³ + 5x)</u>
4x² - 5x + 5+k
- <u>(4x² + 20)</u>
In order to have a remainder of zero, 4x² -5x + 5 + k must equal 4x² + 20
Solve for k:
4x² -5x + 5 + k = 4x² + 20
-5x + 5 + k = 20 <em>subtracted 4x² from both sides</em>
5 + k = 5x + 20 <em>added 5x to both sides</em>
k = 5x + 15 <em>subtracted 5 from both sides</em>
5x = 6y + 7
6y = 5x - 7
y = 5/6 x - 7/6
⇒ Slope = 5/6
At point (3, -5)
-5 = 5/6 (3) + b
-5 = 10 + b
b = -15
Equation of the line:
⇒ y = 5/6x - 15
Answer: y = 5/6x - 15
Answer:
X=5.5cm
Step-by-step explanation:
Hope this helped.
The constant of the proportional relationship graphed in this problem is of 10.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the points on the graph are: (0,0), (2,20), (4,40), ..., hence the constant is:
k = 40/4 = 20/2 = 10.
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
2^(1 + ((n-1) mod 4)) mod 10
Step-by-step explanation:
We presume you want the last digit of the power of 2, not the last digit of the exponent. Powers of 2 mod 10 are ...
2^0 : 1
2^1 : 2
2^2 : 4
2^3 : 8
2^4 : 6
2^5 : 2 . . . . and the sequence repeats: 2, 4, 8, 6, ...
That is, ...
(2^n) mod 10 = 2^(1 + ((n-1) mod 4)) mod 10 . . . for n > 0