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2 years ago

What is the solution of 3x+8/x-4 greater than or equal to 0

Mathematics

1 answer:

DochEvi [55]2 years ago

6 0

Answer:

x ≥ -2 2/3

Step-by-step explanation:

multiply each side by x-4, you get:

3x + 8 ≥ 0

3x ≥ -8

x ≥ -8/3

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A block of concrete is 1m long, 50cm wild and 4cm thick. 1.calculate the volume of the block in cm3 .2.if 1cm has a mass of 2.7g

Nonamiya [84]

9514 1404 393

Answer:

20,000 cm³
54 kg

Step-by-step explanation:

1 m is 100 cm, so the volume is ...

V = LWH

V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume

The mass is ...

(20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg

The mass of the block is 54 kg.

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2 years ago

Jill has 5 apples he the. Gives 3 to Stacy and gives 1 to Abby how many apples does Jill have left

forsale [732]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Lifetime of $1 Bills The average lifetime of circulated $1 bills is 18 months. A researcher believes that the average lifetime i

OLEGan [10]

<h2>Answer with explanation:</h2>

Let $\mu$ be the population mean lifetime of circulated $1 bills.

By considering the given information , we have :-

$H_0:\mu=18\\\\H_a:\mu\neq18$

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the lifetime of circulated $1 bills is normally distributed.

Given : Sample size : n=50 , which is greater than 30 .

It means the sample is large so we use z-test.

Sample mean : $\overline{x}=18.8$

Standard deviation : $\sigma=2.8$

Test statistic for population mean :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$\Rightarrow\ z=\dfrac{18.8-18}{\dfrac{2.8}{\sqrt{50}}}\approx2.02$

The p-value= $2P(z>2.02)=0.0433834$

Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.

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2 years ago

CALCULUS: Determine which function is a solution to the differential equation y ' − y = 0.

Montano1993 [528]

C: none of these are solutions to the given equation.

• If y(x) = e², then y is constant and y' = 0. Then y' - y = -e² ≠ 0.

• If y(x) = x, then y' = 1, but y' - y = 1 - x ≠ 0.

The actual solution is easy to find, since this equation is separable.

y' - y = 0

dy/dx = y

dy/y = dx

∫ dy/y = ∫ dx

ln|y| = x + C

y = exp(x + C )

y = C exp(x) = C eˣ

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2 years ago

Which of the following is most likely the next step in the series?

kupik [55]

The circles in the figures form a series

The next step in the series is (B)

<h3>How to determine the next step?</h3>

From the figure, we have the following highlights

The first circle has 2 segments
The second circle has 4 segments
The third circle has 5 segments

Using the above pattern, the next circle must have 6 segments

Hence, the next step in the series is (B)