All categories

2 years ago

What is the simplest form of this expression? -x^3(5x+1)+4x^4

Mathematics

1 answer:

Fantom [35]2 years ago

7 0

Answer:

-x^3*(x + 1)

Step-by-step explanation:

Perform the indicated multiplication and then write out all the terms in descending order by powers of x:

-x^3(5x+1)+4x^4 = -5x^4 - x^3 + 4x^4

= -x^4 - x^3, or = -x^3*(x + 1)

You might be interested in

Write −12.405 as a mixed number in simplest form

serious [3.7K]

Answer:

$-12\frac{81}{200}$

Step-by-step explanation:

In the decimal of −12,405, leave the −12 and divide 405 by 1000 for now:

$\frac{81}{200} = \frac{405}{1000}$

Greatest Common Divisor [GCD]: 5

Finally, you attach this back to the −12, giving you $-12\frac{81}{200}$ .

I am joyous to assist you anytime.

3 0

3 years ago

A minibus drives 101 km in 1 hour. What is its average speed in kilometers per hour?

tekilochka [14]

Answer:

Step-by-step explanation:

Average speed is distance divided by time.

s=(101km)/(1hr)

s=101 km/hr

4 0

3 years ago

A manager checked production records and found that a worker produced 200 units while working 40 hours. In the previous week, th

jeka94

Answer:

a. Current: 5 units/hour. Previous: 4.4 units/hour

b. Increase

Step-by-step explanation:

a. Current period productivity is 200 / 40 = 5 units/hour

Previous period productivity is 132 / 30 = 4.4 units/hour

b. As this week's productivity = 5 units/hours which is larger than last week's productivity = 4.4 units/hour. The worker's productivity for this week has increased.

4 0

2 years ago

A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random

Akimi4 [234]

Answer:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

Step-by-step explanation:

Information given

$\bar X=24$ represent the mean height for the sample

$s=2.2$ represent the sample standard deviation

$n=14$ sample size

$\mu_o =25$ represent the value that we want to test

t would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to verify

We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25$

Alternative hypothesis: $\mu < 25$

The statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

8 0

2 years ago

Frank purchased an air conditioner for $3000. Its value depreciates at a rate of 8% each year. How much will the air conditioner

Lina20 [59]

Answer:

$2280

Step-by-step explanation:

Given: Cost of Air conditioner= $3000.

Rate of depreciation= 8%

Number of year= 3 years.

Now, finding the depreciation for 3 years.

Depreciation= $\frac{Cost\ of\ air\ conditioner\times rate\ of\ depreciation\times years}{100}$

Amount of depreciation= $\frac{\$ 3000\times 8\times 3}{100} = \$ 30\times 24$

∴ Amount of depreciation in 3 years is $720.

Cost of Air conditioner after 3 years= $Original\ cost - Amount\ of\ depreciation$

⇒ Cost of Air conditioner after 3 years= $\$ 3000-\$ 720= \$ 2280.$

∴ Cost of Air conditioner in 3 years is $2280.

5 0

3 years ago

Read 2 more answers