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3 years ago

I need help answering this please

Mathematics

1 answer:

Papessa [141]3 years ago

8 0

Answer:

-5

Step-by-step explanation:

sense you do ×-5 on one side you also do it on the other side to keep both sides equal

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Given that α and β are the roots of the quadratic equation <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B6x-7%3Dp" id="Tex

siniylev [52]

Answer:

$\large \boxed{\sf \ \ \ p=-11 \ \ \ }$

Step-by-step explanation:

Hello,

$\alpha \text{ and } \beta \text{ are the roots of the following equation}$

$2x^2+6x-7=p$

It means that

$2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\$

And we know that

$\alpha= 2\cdot \beta$

So we got two equations

$2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\6\beta^2+6\beta =0\\\\\beta(\beta+1)=0\\\\ \beta =0 \ or \ \beta=-1$

For $\beta =0, \ \ \alpha =0, \ \ p = -7$

For $\beta =-1, \ \ \alpha =-2, \ \ p= 2-6-7=-11, \ p=2*4-12-7=-11$

I assume that we are after two different roots so the solution for p is p=-11

b) $\alpha +2 =-2+2=0 \ and \ \beta+2=-1+2=1$

So a quadratic equation with the expected roots is

$x(x-1)=x^2-x$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0

3 years ago

Plz help I will mark you brainlist plz hellp

Ilya [14]

Answer:Probability = 1/8.

Step-by-step explanation:

A number cube has six sides. Each side has a number from 1 to 6. This means that there are 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5). Therefore:

P(number cube lands on an even number after roll) = Number of even numbers/Number of total numbers. = 3/6 = 1/2.

Since the cube has to be rolled three times, the probability will be multiplied 3 times (assuming that each roll in independent of each other). Therefore:

P(number cube lands on an even number 3 times after roll) = 1/2 * 1/2 * 1/2 = 1/8.

Therefore, the answer is 1/8!!!

6 0

4 years ago

Use the scatter plot to fill in the missing coordinate of the ordered pair?

Leona [35]

Answer:

Pairs (0, 14) and (10, 0)

5 0

3 years ago

The interior of a regular polygon is 5 times the exterior angle

densk [106]

Step-by-step explanation:

The interior angle of a polygon is given by

$\frac{(n - 2) \times 180}{n}$

The exterior angle of a polygon is given by

$\frac{360}{n}$

where n is the number of sides of the polygon

The statement

The interior of a regular polygon is 5 times the exterior angle is written as

$\frac{(n - 2) \times 180}{n} = 5( \frac{360}{n} )$

Solve the equation

That's

$\frac{180n - 360}{n} = \frac{1800}{n}$

Since the denominators are the same we can equate the numerators

That's

180n - 360 = 1800

180n = 1800 + 360

180n = 2160

Divide both sides by 180

The interior angle of the polygon is

$\frac{(12 - 2) \times 180}{12} = \frac{10 \times 180}{12} \\ = \frac{1800}{12}$

The answer is

Interior angle + exterior angle = 180

From the question

Interior angle = 150°

So the exterior angle is

Exterior angle = 180 - 150

We have the answer as

The polygon has 12 sides

The name of the polygon is

<h2>Dodecagon</h2>

Hope this helps you.

6 0

3 years ago

21 fewer stars than three times a nymber h

Minchanka [31]

21 fewer stars than three times a number h
21 - (3 x h)

5 0

4 years ago

I need help answering this please​

I need help answering this please