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4 years ago

I NEED ANSWER ASAP !!!

Mathematics

1 answer:

aivan3 [116]4 years ago

4 0

Answer:

Step-by-step explanation:

3+2x=5x

3=3x

x=1

PR=5

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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

X + 4 = -14 what does x equal?

DaniilM [7]

Answer:

x=-18

Step-by-step explanation:

To move the 4 to the other side you need to subtract both sides by 4 (If you do something to one side you need to do it on the other side)

x+4-4=-14-4

Simplify:

x=-18

Hope this helps!

7 0

3 years ago

The length of a rectangle is five less than its width. The area of the rectangle is 84 square feet. Write a quadratic equation i

salantis [7]

Given:

The length of a rectangle is 5 less than its width.

The area of the rectangle is 84 square feet.

We need to determine the quadratic equation in standard form that represents the area of the rectangle.

Dimensions of the rectangle:

Let l denote the length of the rectangle.

Let w denote the width of the rectangle.

Since, it is given that the length is 5 less than its width, it can be written as,

$l=5-w$ and $w=w$

Area of the rectangle:

The area of the rectangle can be determined using the formula,

$A=length \times width$

Substituting A = 84, $l=5-w$ and $w=w$ , we get

$84=(5-w)\times w$

$84=5w-w^2$

Adding both sides of the equation by w², we have;

$w^2+84=5w$

Subtracting by 5w on both sides, we get;

$w^2-5w+84=0$

Thus, the quadratic equation in standard form for the area of the rectangle is $w^2-5w+84=0$

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4 years ago

Juan went to a wholesale store to buy eggs for his restaurant. The wholesale store only sells eggs by the dozen, at $3.29 per do

vovangra [49]

Answer:

The answer is 4

Step-by-step explanation:

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3 years ago

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The turn signal Car A blinks 7 times every 5 seconds. The turn signal on Car B blinks 5 times every 4 seconds. In one minute, ho

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Answer: 6 - 10 blinks would probably be a reasonable target.

Step-by-step explanation:

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2 years ago

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