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anzhelika [568]
2 years ago
13

Please helppp

Mathematics
1 answer:
ra1l [238]2 years ago
6 0

"Increasing" and "decreasing" are references to what the y-values do when the x-values increase.  

Attached is a copy of all four tables, marked with whether the y-values increased or decreased on each step (and it also shows how much that increase or decrease was.

The only table that does this is the top right table in the attachment, which is your second table.

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Simplify.<br><br> 2x5 - 6x2 + 4x4y<br> -------------------------<br> 2x
Ede4ka [16]
We have the rational expression \frac{2x^{5}-6x^{2}+4x4y}{2x}; to simplify it, we are going to try to find a common factor in the numerator, and, if we are luckily, that common factor will get rid of the denominator 2x.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable x, and the least exponent of that variable is 1, so x will be the other part of our common factor. Lets put the two parts of our common factor together to get 2x.
Now that we have our common factor, we can rewrite our numerator as follows:
\frac{2x(x^{5}-6x+2(2y)}{2x}
We are luckily, we have 2x in both numerator and denominator, so we can cancel those out:
x^{5}-6x+2(2y)
x^5-6x+4y

We can conclude that the simplified version of our rational function is x^{5}-6x+4y.
4 0
3 years ago
What are the features of the parabola modeled by the equation f(x) = x2 - 114x ?
notsponge [240]

Answer:

Answers are in bold type

Step-by-step explanation:

f(x) = x^{2} -144x

The parabola opens up, so has a minimum at the vertex.

Let (h, k) be the vertex

h = -b/2a = - (-144)/2(1) = 57

k = 57^2 - 144(57) = 3249 - 6498 = -3249

Therefore, the vertex is (57, -3249)

The minimum value is -3249

The domain is the set of real numbers.  

The  range = {y | y ≥ -3249}

The function decreases when -∞ < x < 57  and increases when 57 > x > ∞

The x - intercepts:  x^{2} -144x = 0

                                x(x - 114x) = 0

                                x = 0 or x = 114

x-intercepts are (0, 0) and (0, 114)

When x = 0, then we get the y-intercept.  So, 0^2 - 114(0) = 0

y-intercept is (0, 0)

3 0
3 years ago
#7 - #9 theres the pic
Ratling [72]
#7
2,4,8,16
15,30,60,120

#9
1,2,3,
4,8,12
6 0
3 years ago
If the triangle are similar, write a similarity
Vesna [10]

Answer:

The triangles are similar due to AAA

Step-by-step explanation:

'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.

Then the triangles are similar due to AAA

6 0
2 years ago
Kate has some dimes and quarters. if she has 1919 coins worth a total of $2.95, how many of each type of coin does she have?
Natalija [7]
She has 12 dimes and 7 quarters
6 0
3 years ago
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