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Natalija [7]
3 years ago
10

Determine the direction that is parábola opens: y=4x^2+8x+2

Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0
It should open up because the a which is 4 is positive
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A line passes through the given points. write an equation for the line in point-slope form. then rewrite the equation in slope i
rodikova [14]

#1 first we need to solve for slope which is y2-y1/x2-x1

plug in the coordinates and get 1-6/5-(-2) which makes our slope -5/7

then use the equation for point slope form which is:

y-y1=m(x-x1)

then plug in one of the coordinates, I'll use (-2,6), now we have

y-6=-5/7(x+2)

now to make this slope intercept, we just have to solve

y-6=-5/7x-10/7

y=-5/7x+4 4/7

repeat all these steps for 2 and 3

#2: slope = -13/5

plug it in to point slope and get: y+8=-13/5(x-3)

slope intercept:

y+8= -13/5x + 39/5

y= -13/5x -1/5

#3: slope = 3/4

point slope form: y-2=3/4(x-3)

slope intercept: y-2=3/4x-9/4 --> y=3/4x-1/4

7 0
3 years ago
What are the potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2?
Dmitry_Shevchenko [17]

The potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

<h3>How to determine the potential zeros of the function f(x)?</h3>

The function is given as:

f(x)=6x^4+ 2x^3 - 4x^2 +2

For a function P(x) such that

P(x) = ax^n +...... + b

The rational roots of the function p(x) are

Rational roots = ± Possible factors of b/Possible factors of a

In the function f(x), we have:

a = 6

b = 2

The factors of 6 and 2 are

a = 1, 2, 3 and 6

b = 1 and 2

So, we have:

Rational roots = ±(1, 2)/(1, 2, 3, 6)

Split the expression

Rational roots = ±1/(1, 2, 3, 6)/ and ±2/(1, 2, 3, 6)

Evaluate the quotient

Rational roots = ±(1, 1/2, 1/3, 1/6, 2, 1, 2/3, 1/3)

Remove the repetition

Rational roots = ±(1, 1/2, 1/3, 1/6, 2, 2/3)

Hence, the potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

The complete parameters are:

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

The potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

Read more about rational roots at

brainly.com/question/17754398

#SPJ1

4 0
2 years ago
Given the figure below with m<br> HELP ASAP. I’LL MARK YOU BRAINLIEST!!
Naya [18.7K]

Answer:

c

Step-by-step explanation:

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3 years ago
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Find an antiderivative F(x) with F'(x) = f(x) = 11+(21x^2)+(21x^6) and F(1)=0
Sunny_sXe [5.5K]
11x + 7x^3 + 3x^7 - 21
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Why will random samples from a given population not have the same mean?
BartSMP [9]

Answer:

C-Sample means will vary because the data values are randomly selected from different populations.

Step-by-step explanation:

took it on edg

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2 years ago
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