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2 years ago

Been trying to figure this out and cant seem to get the answers on the list

Mathematics

1 answer:

nalin [4]2 years ago

8 0

Answer:

131/333

Step-by-step explanation:

999x = 393

x = 393/999

simplify by dividing by 3

x = 131/333

this is its simplest form

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Help me out please, thanks

aev [14]

Hello!

f(x) = x² + 12x <=>

<=> a = 1, b = 12 <=>

<=> x = -12/2×1 <=>

<=> x = -6 <=>

<=> f(-6) = -36 <=>

<=> (-6; -36)

Good luck! :)

8 0

3 years ago

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

4 0

3 years ago

Steve sold 36 fruit baskets for a school fundraiser. Evie sold 25% of the number of baskets that Steve sold. How many fruit bask

xeze [42]

Answer:

9 fruit baskets.

Step-by-step explanation:

Given:

Steve sold 36 fruit baskets for a school fundraiser.

Evie sold 25% of the number of baskets that Steve sold.

<u>Question asked:</u>

How many fruit baskets did Evie sell?

Solution:

<u>As given that Evie sold 25% of the number of baskets that Steve sold.</u>

Number of baskets sold by Evie = 25% of 36

$=\frac{25}{100}\times36\\\\ =\frac{900}{100}\\ \\=9$

Thus, 9 fruit baskets sold by Evie.

4 0

3 years ago

Please help! what is the measure of x?

Alexeev081 [22]

28°
Since KL and FG are perpendicular they create a 90° angle. 180-90-62=28

4 0

3 years ago

1 The 14 members of the baseball team are going to stop at an ice cream shop after the game. The ice cream shop has a special tr

sergeinik [125]

Answer:

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Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Been trying to figure this out and cant seem to get the answers on the list​

Been trying to figure this out and cant seem to get the answers on the list