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grin007 [14]
3 years ago
5

Determine if there is a proportional relationship between the two quantities. Explain your reasoning.

Mathematics
2 answers:
Helen [10]3 years ago
5 0

Answer:

Hold on a minute, gotta let my brain wake up.

Step-by-step explanation:

Katyanochek1 [597]3 years ago
3 0

Two quantities are proportional if their ratio is constant. Let's check the ratios:

\dfrac{20}{8}=2.5,\quad \dfrac{12.5}{5}=2.5

So, the two quantities appear to be proportional, and the constant seems to be 2.5.

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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
Two numbers have a sum of 31. One number is 7 more than the other. Find the numbers.
nataly862011 [7]

Answer:

The numbers are 12 and 19.

Explanation:

x - first number

y - second number

{x + y = 31

{x = y + 7

{x + y = 31

{x - y = 7 (+)

----------------------------

x + x + y - y = 31 + 7

2x = 24

x = 12

{x = 12

{12 + y = 31

{x = 12

{y = 19

4 0
4 years ago
NEED THE ANSWER ASAP PLEASE
Elan Coil [88]

Answer:

y=1/2x-3

gradient = 1/2

also should satisfy the given coordinates

6 0
4 years ago
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Set up and solve an equation to find x.
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I would say the equation would be 3x=x+20 and subtract x on both sides and you get 2x=20 so then you would divide both sides by 2 and the answer is 10.
3 0
3 years ago
Factor 9y2 - 12y + 4.<br><br> (3y - 2)2<br> (3y - 2)(3y + 2)<br> (3y - 4)(y + 1)
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(3y)^2-2*3y*2+2= 9y^2-12y+4
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3 years ago
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