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fomenos
3 years ago
14

Please help no du mb answers

Mathematics
1 answer:
vladimir1956 [14]3 years ago
6 0

Answer:

A = (-2,5)

B = (5,5)

the distance between the points is 7

Step-by-step explanation:

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A. Is the sum of two polynomials always a polynomial? Explain
IgorLugansk [536]

Answer:  The answers for both (a) and (b) is YES.


Step-by-step explanation: A polynomial is an algebraic expression containing   two or more algebraic terms, i.e., the sum of several terms that contain different powers of the same variable or variables with real coefficients.

For example, p(x) = 4x²+x+2 is a polynomial in variable 'x'.

(a) Yes, the sum of two polynomials is again a polynomial. For example,

if p(x) = ax² + bx + c  and  q(x) = dx² + ex + f, where, a, b, c, d, e and f are real numbers, then their sum will be

p(x) + q(x) = (a+d)x²+(b+e)x+(c+f), which is again a polynomial in 'x' with real coefficients.

(b) Yes, the difference of two polynomials is again a polynomial. For example,

p(x) - q(x) = (a-d)x²+(b-e)x+(c-f), which is again a polynomial in 'x' with real coefficients.

Thus, the answer is YES.

6 0
3 years ago
The table shows the battery lives in hours of ten Brand A batteries and ten Brand B batteries.
defon
Plotting the data (attached photo) roughly shows that the data is skewed to the left. In other words, data is skewed negatively and that the long tail will be on the negative side of the peak.

In such a scenario, interquartile range is normally the best measure to compare variations of data.

Therefore, the last option is the best for the data provided.

5 0
3 years ago
Read 2 more answers
Which of the following rules could represent the function shown in the table?
kvasek [131]
ANSWER

The rule is given by the relation,

y = 2x + 1


EXPLANATION

We need to check and see if there is a constant difference between the y-values.


1 -  - 1 = 2 = 3 - 1


We can see that, there is a constant difference of 2.

This means that the table represents a linear relationship.


Let the rule be of the form,
y = mx + c


Then the points in the table should satisfy the above rule.


So let us plug in


(0,1)


This implies that,


1 =m (0) + c


1 = 0 + c


c = 1



Our rule now becomes,


y = mx + 1 -  - (1)


We again plug in another point say, (-1,-1) in to equation (1) to get,



- 1 = m( - 1)   + 1

we solve for m now to obtain,

- m=-1-1


- m =  - 2


m = 2
We now substitute back in to equation (1) to get

y = 2x  + 1
5 0
3 years ago
Read 2 more answers
Anyone know the answer to this ??
Hatshy [7]
The first one : -6
the second : -14

7 0
3 years ago
One endpoint of a line segment has coordinates represented by (x+4,1/2y). The midpoint of the line segment is (3,−2).
lesya692 [45]

Answer:

(-x+2, -\frac{1}{2}y-4})

Step-by-step explanation:

We know that one of the endpoints of the line segment is (x+4, 1/2y)

The midpoint of the line segment is (3, -2).

And we want to find the other coordinates in terms of x and y.

To do so, we can use the midpoint formula:

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Since we know that the midpoint is (3, -2), let's substitute that for M:

(3, -2)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Let's solve for each coordinate individually:

X-Coordinate:

We have:

3=\frac{x_1+x_2}{2}

We know that one of the endpoints is (x+4, 1/2y). So, let's let (x+4, 1/2y) be our (x₁, y₁). Substitute x+4 for x₁. This yields:

3=\frac{(x+4)+x_2}{2}

Solve for our second x-coordinate x₂. Multiply both sides by 2:

6=x+4+x_2

Subtract 4 from both sides:

2=x+x_2

Subtract x from both sides. Therefore, the x-coordinate of our second point is:

x_2=-x+2

Y-Coordinate:

We have:

-2=\frac{y_1+y_2}{2}

Substitute 1/2y for y₁. This yields:

-2=\frac{\frac{1}{2}y+y_2}{2}

Solve for y₂. Multiply both sides by 2:

-4=\frac{1}{2}y+y_2

Subtract 1/2y from both sides. So:

y_2=-\frac{1}{2}y-4

Therefore, the other coordinate expressed in terms of x and y is:

(-x+2, -\frac{1}{2}y-4})

3 0
3 years ago
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