All categories

2 years ago

Solve for all possible values of x. √60 8x = x - 9

Mathematics

1 answer:

umka2103 [35]2 years ago

4 0

The possible values of x are 3 and 7

<h3>Solving rational expressions</h3>

Given the rational expression below;

√60-8x = x - 9

Square both sides to have:

(60-8x)² = (x-9)²

60-8x = x²-18x+81

Equate to zero to have;

x²-18x+81 - 60 + 8x = 0

x² - 10x + 21 = 0

x² -3x-7x +21 = 0

x(x-3)-7(x-3) = 0

x = 3 and 7

Hence the possible values of x are 3 and 7

Learn more on rational expression here: brainly.com/question/25292194

#SPJ1

You might be interested in

20. What is the equation of the line that passes through the points (–2, 2) and (0, 5)? A. y = x + 5 B. y = x – 5 C. y = –3/2x +

Vanyuwa [196]

y=mx+b

first find the y intercept or b or x=0

b=5

now find the slope

y²-y¹/x²-x¹--> 5-2/0-(-2)

m=3/2

the equation is D. y=3/2x+5

3 0

3 years ago

You purchased a rare painting for $150 that is increasing in value by 3% annually. How many years will it take until it is doubl

Ahat [919]

Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

$y=150(1+0.03)^t$

$y=150(1.03)^t$

The value of painting after double is 300. Substitute y=300.

$300=150(1.03)^t$

Divide both sides by 150.

$2=(1.03)^t$

Taking log both sides.

$\log 2=\log (1.03)^t$

$\log 2=t\log (1.03)$

$t=\dfrac{\log 2}{\log (1.03)}$

$t=23.44977$

$t\approx 23$

Therefore, the required number of years is 23.

6 0

3 years ago

7.959 to one decimal place .

o-na [289]

Answer:

8.0

Step-by-step explanation:

Since we are trying to find the nearest tenth decimal place, we look at the hundredths place to figure it out. Since it is ≥5, we round up.

8 0

3 years ago

Read 2 more answers

Is 3/2 greater than 1.hurry i nee a response

ICE Princess25 [194]

Answer:

Yes

Step-by-step explanation:

3/2 = 1.5

1.5 > 1

Best of Luck!

7 0

3 years ago

Read 2 more answers

If both spinners are spun simultaneously, what is the probability that both spinners will land on orange?

andrew11 [14]

Answer:

The probability that neither land on orange is (1/2)* (7/8) = 7/16. Hence, the probability that at least one lands on orange is 1 - 7/16 = 9/16.

Step-by-step explanation:

me big brain

8 0

3 years ago