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3 years ago

Determine the direction that this parabola opens y=2x^2-4x-6 Down or up

Mathematics

1 answer:

dimaraw [331]3 years ago

6 0

Answer: The parabola opens upwards.

Step-by-step explanation:

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alpha and beta are the zeros of the polynomial x^2 -(k +6)x +2(2k -1). Find the value of k if alpha + beta = 1/2 alpha beta(ITS

serious [3.7K]

Answer:

$k=\frac{-11}{2}$ .

Step-by-step explanation:

We are given $\alpha$ and $\beta$ are zeros of the polynomial $x^2-(k+6)x+2(2k-1)$ .

We want to find the value of $k$ if $\alpha+\beta=\frac{1}{2}$ .

Lets use veita's formula.

By that formula we have the following equations:

$\alpha+\beta=\frac{-(-(k+6))}{1}$ (-b/a where the quadratic is ax^2+bx+c)

$\alpha \cdot \beta=\frac{2(2k-1)}{1}$ (c/a)

Let's simplify those equations:

$\alpha+\beta=k+6$

$\alpha \cdot \beta=4k-2$

If $\alpha+\beta=k+6$ and $\alpha+\beta=\frac{1}{2}$ , then $k+6=\frac{1}{2}$ .

Let's solve this for k:

Subtract 6 on both sides:

$k=\frac{1}{2}-6$

Find a common denominator:

$k=\frac{1}{2}-\frac{12}{2}$

Simplify:

$k=\frac{-11}{2}$ .

7 0

3 years ago

A number is of another number. The difference of the

earnstyle [38]

Answer:5

Step-by-step

4 0

3 years ago

Which of the following describes a translation of f(x) down 3 units?

frez [133]

Answer:

g(x)=x-3

Step-by-step explanation:

8 0

2 years ago

Categorical(qualitative) or quantitative. Indicate whether quantitative data are continuous or discrete.

Levart [38]

Answer:

1. Gender - qualitative

2. Age - Quantitative (Discrete)

3. Grade point Average - quantitative (Continuous )

4. Number of courses currently enrolled - quantitative (discreet)

5. Enrollment Status - qualitative

Step-by-step explanation:

Qualitative variables are those which are non-numeric, usually made up of strings or words. The quantitative variables are numeric, usually composed of digits and numbers.

Discreet variables have a finite or limited number of values which are countable as opposed to continuous variables with a non-finite range and hence, uncountable.

Gender is a qualitative variable as it is composed of non-nemeric labels which could be either Male or Female.

Age - is numeric and hence quantitative, since age is usually expressed in years, hence it is discreet.

Grade point Average is a quantitative and continuous variable due to its numeric nature and the fact that it can take up an infinite number of possible values including decimal values.

Number of courses enrolled is numeric can take a finite number of values, hence, it is discreet.

Enrollment status is qualitative as it is split into :

Part time or full time.

3 0

4 years ago

denis23 [38]

Answer:

Actually it would be 87,100,000 in standard form.

Step-by-step explanation:

3 0

3 years ago