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Vitek1552 [10]
3 years ago
15

The reciprocal of a number plus the reciprocal of three times the number equals 1/3. find the number.

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0
1/x + 1/3x = 1/3
3+1=x
x=4
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Which expression is equivalent to √900f^6/100g^4
krek1111 [17]

Answer:

A

Step-by-step explanation:

c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²

and not 30f something.

the best answer I see is correct is a.

6 0
3 years ago
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
Amiraneli [1.4K]

The correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options

<h3>Solving inequality</h3>

From the question, we are to solve the inequality

The given inequality is

–3(2x – 5) < 5(2 – x)

First, clear the brackets

–6x + 15 < 10 – 5x

NOTE: This is one of the correct representations of the inequality

Collect like terms

-6x + 5x < 10 - 15

-x < -5

Divide both sides by -1 and flip the sign

x > 5

Representing this on a number line, we get a number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is pointing to the right.

Hence, the correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options

Learn more on Inequalities here: brainly.com/question/246993

#SPJ1

6 0
2 years ago
(-x²+9) + (-3x²-11x+4)
Maslowich

Answer:

=-4x^2-11x+13

Step-by-step explanation:

6 0
3 years ago
Rate this pic lol. I will give u a brainlist
nika2105 [10]
It is a good pic, good quality and all that
7 0
3 years ago
Let $r$ and $s$ be the roots of $3x^2 + 4x - 12 = 0.$ Find $r^2 + s^2.$
Paul [167]

We can factorize the quadratic as

3x^2 + 4x - 12 = 3 (x - r) (x - s)

and expand the right side to get

3x^2 + 4x - 12 = 3x^2 - 3(r + s) x + 3rs

\implies r + s = -\dfrac43 \text{ and } rs = -4

Then we find

(r + s)^2 = r^2 + 2rs + s^2 \implies r^2 + s^2 = \left(-\dfrac43\right)^2 - 2(-4) = \boxed{\dfrac{88}9}

8 0
2 years ago
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