The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend? The choices are: A. 6d5 – 2c3d2 + 5c2d3 – 12cd4 + 8 B. 6d5 – 4c3d2 + 3c2d3 – 4cd4 + 8 C. 6d5 – 4c3d2 + 5c2d3 – 12cd4 + 8 D. 6d5 – 2c3d2 – 3c2d3 – 4cd4 + 8
Answers
Answer: The correct option is A.
Step-by-step explanation: We are given a polynomial which is a sum of other 2 polynomials.
We are given the resultant polynomial which is :
One of the polynomial which are added up is :
Let the other polynomial be 'x'
According to the question:
Solving the like terms in above equation we get:
Hence, the correct option is A.
Answer:
6d5 – 2c3d2 + 5c2d3 – 12cd4 + 8
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Point A is located at (0, -2) and is rotated 180°. What are the coordinates of point A'?(2, 0) (0, 2) (0, -2) (0, -2)
HELPPPP is the ratio 5:6 equivalent to 3:4 ?
A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots?
Answers
To make the equation go through (0,-4) the new equation would be 9x + 5y = 20. We needed to change it from subtracting to adding so the direction of the line would go from going down to up too up to down. In slope-intercept form the original equation would be found by the following.
9x - 6y = 20
-6y = 20 - 9x
y = -20/6 - (-9/6x)
y = 9/6x - 20/6
y = 3/2x - 10/3
To make the perpendicular line, take the slope and apply the opposite and reciprocal.
y = -2/3x - 10/3
Best of Luck!
Answers
–0.191
0.191
0.872
Answers
Answer:
the answer is -0.872
Step-by-step explanation:
0.872.
Explanation:
The correlation coefficient of a regression line is a measure of how closely the line fits our data. Negative correlation coefficients represent decreasing lines; positive correlation coefficients represent increasing lines.
The closer a correlation coefficient is to +1 or -1, the better the fit; a perfect positive fit is r=1 and a perfect negative fit is r=-1.
We can see in the graph that the line is very close to our data, so it is a pretty good fit.
The line is increasing; this means we want a correlation coefficient that is close to 1.
The best choice is 0.872.
3/5
2/3
4/5
Answers
Answer: The scale is 5/4
Step-by-step explanation:
To determine the scale factor, you have to locate which sides are similar to each other .
the side length with 20 is congruent to 16
15 is similar to 12 and 10 is similar to 8.
And to get from triangle A to triangle B of any side length, we need to multiply by a certain number which is the scale factor.
And to find that number we will divide the side length of any side in triangle A by the similar side to it in triangle B.
20/ 16 = 5/4
15/ 12 = 5 / 4
10 / 8 = 5/4
Which of the following expressions represents the nth term of the sequence?
A 4n +1
B) 4n + 5
5n+1
D) 5n + 5
Answers
If the first term of an arithmetic sequence is 5 and the third term of the sequence is 13 then the nth term is A) 4n +1.
What are arithmetic and geometric sequence?
An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference(d).
aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, The first term of an arithmetic sequence is 5.
The third term of the sequence is 13.
As we can conclude that for 2 terms the common difference is increased by 8.
∴ Common difference (d) = 8/2 = 4.
Now, we know the nth term of an arithmetic sequence is,
aₙ = a₁ + (n - 1).d.
aₙ = 5 + (n - 1)×4.
aₙ = 5 + 4n - 4.
aₙ = 4n + 1.
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Answer:A 4n+1
Step-by-step explanation: found the answer key
Answers
Answer: f ( x ) = log ( x - 5 )
Explanation:
1) Take g(x) = log (x) as the parent function
2) The horizontal asymptote of g(x) is x = 0, and the y-intercept is (1,0).
3) Then, translating the asymptote to x = 5, and the y-intercept to (6,0), means that the graph of the parent function is being shifted 5 units to the right.
4) The rule is that the translation of the function g(x) a constant value to the right, say it is k, results in the function f(x) = g(x - k).
5) Therefore, the logarithmic function searched is f(x) = g(x - 5) = log (x - 5), and that is the answer.
6) You can prove that log (x - 5) meets the two conditions:
i) , which means x = 5 is a vertical asymptote
ii) f(6) = log (6 - 5) = log (1) = 0 ⇒ point (6,0) is the x-intercept
f ( x ) = log x
Domain of a new function: x ∈ ( 5, +∞ )
Answer: f ( x ) = log ( x - 5 )