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2 years ago

Order these following rational numbers from greatest to least: 25% -0.17 3/5 -1/12 12

Mathematics

1 answer:

Vika [28.1K]2 years ago

3 0

Answer:

12, 3/5, 25%, -1/12, -0.17

Step-by-step explanation:

The simplest way to do this is to convert all of the numbers into either a fraction, decimal, or a percentage. In my opinion, it is easier to use a percentage here.

25% is already a percentage

-0.17 = -17%

3/5 = 60%

-1/12 (you can use a calculator to divide and find the percentage here) = -8.33

12 = 1200%

Now that the rational numbers are all in the same unit, it is easier to sort them. In the end, we get this list (from greatest to least):

12, 3/5, 25%, -1/12, -0.17

FINAL ANSWER: 12, 3/5, 25%, -1/12, -0.17

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If α and β are the zeroes of the polynomial 6y 2 − 7y + 2, find a quadratic polynomial whose zeroes are 1 α and 1 β .

ollegr [7]

Answer:

$2y^2-7y+6=0$

Step-by-step explanation:

We are given that $\alpha$ and $\beta$ are the zeroes of the polynomial $6y^2-7y+2$

$y^2-\frac{7}{6}y+\frac{1}{3}$

We have to find a quadratic polynomial whose zeroes are $1/\alpha$ and $1/\beta$ .

General quadratic equation

$x^2-(sum\;of\;zeroes)x+ product\;of\;zeroes$

We get

$\alpha+\beta=\frac{7}{6}$

$\alpha \beta=\frac{1}{3}$

$\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta}$

$\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7/6}{1/3}$

$\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7}{6}\times 3=7/2$

$\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{\alpha \beta}$

$\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{1/3}=3$

Substitute the values

$y^2-(7/2)y+3=0$

$2y^2-7y+6=0$

Hence, the quadratic polynomial whose zeroes are $1/\alpha$ and $1/\beta$ is given by

$2y^2-7y+6=0$

4 0

4 years ago

William bought a new sweater at the store when they were having a 45%, off sale. if the regular price of the sweater was $19, ho

Lyrx [107]

Firstly, to calculate a price you need to change the percentage into a decimal. You do this by dividing it by 100.

45 / 100 = 0.45,
The discount price will be 55% of the original price,
55 / 100 = 0.55,
19 * 0.55 = 10.45,

So the discound price will be $10.45

Hope this helps!

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4 years ago

Write the sentence as an equation,<br><br> Four times the difference of -10 and 3 amounts to -52.

mars1129 [50]

Answer:

4*(-10-(-3))=-52

Step-by-step explanation:

just step by step

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3 years ago

I’ll give brainlist award please answer

lina2011 [118]

For answering multiple choice, you can do the following:

Observe the diagram, noting that one curve has positive slope, and the other has negative slope.
Looking at the equations,
if x and y are on the same side of the equal sign, (which is the case here), then
- coefficients of x and y have equal signs (both+, or both -) then the equation has negative slope.
- coefficients of x and y have different signs (+-, or -+), then the equation has positive slope.
We see the second system has both equations with positive slope, and the third system has both equations with negative slopes. They're out!

Next, we check the y-intercept of the first equation (by setting x=0),
first system: 0+2y=-10 => y-intercept=-5, slope=-1/2 Good
fourth system: 0-2y=-10 => y-intercept=+5 No good.

Finally, check the x-intercept of the second equation of the first system (by setting y=0)
first system: 3x-0=12 => x-intercept = 12/3=+4, slope = +3 good

So we conclude the first system is the correct answer.

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3 years ago

2y-6x=4 if you are solving for y

MariettaO [177]

Answer:

y = 3x + 2

Step-by-step explanation:

6 0

3 years ago

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