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3 years ago

I need all 3 questions please

Mathematics

1 answer:

Gelneren [198K]3 years ago

6 0

Answer:

1. 32

2. y=2

3. x=0.25

Step-by-step explanation:

First look at the triangle and figure out it urself.

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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

Taylor bought 6 tickets to a movie. The price of each ticket was the same. After he bought the tickets, his account balance show

Sladkaya [172]

It is -11.34

-$68.04 divide by 6 is -$11.34, so instead of 11.34, it's -11.34

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3 years ago

Given Circle M where d = 11, determine<br> The circumference.

Advocard [28]

Answer:

In this particular case, Circle M has circumference 11π, or approximately 34.6 units.

Step-by-step explanation:

The circumference of a circle of diameter d is C = πd.

In this particular case, Circle M has circumference 11π, or approximately 34.6 units.

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2 years ago

In a survey of 300 voters, 68 said that they voted for Candidate A. How many voters can Candidate A expect to receive if the pop

Zepler [3.9K]

If you meant 1,000 then there would be 227 voters Candidate A can expect to receive.
If you meant 10,000 then there would be 2267 voters Candidate A can expect to receive.

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3 years ago

Solve x+2=10

Anna71 [15]

X = 8

Just subtract 10 - 2 and you’ll get 8

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2 years ago