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4 years ago

Which graph has the same end behavior as the graph of f(x) = –3x^3 – x^2 + 1?

Mathematics

1 answer:

ololo11 [35]4 years ago

4 0

To find out end behavior, we always look at the largest exponent (3 in this case) and the sign of the term with the largest exponent (negative in this case). We can rule out the first two choices because since it is a cubic graph (exponent of 3) the graph will be pointing in opposite directions. Then, the negative tells us that as the x values approache infinity, the y values will approach negative infinity. So the correct answer is the last choice.

Hope this helps

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6= m - 7/8 HELLLLLLP

Oduvanchick [21]

Answer:

m = 6 7/8 or 55/8.

Step-by-step explanation:

6= m - 7/8

6 + 7/8 = m - 7/8 + 7/8

m = 6 7/8 or 55/8.

4 0

3 years ago

500 in the ratio 2:3

irina1246 [14]

500 in 2:3 is saying that there are five different parts (2 + 3)
This means that 500 needs to be split into five, which is 100.
After that all you need to do is put 2 'sections' on one side and 3 on the other.

For example, 2 : 3 = 2( x 100) : 3( x 100)
= 200 : 300

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3 years ago

Read 2 more answers

Round 12.5478 to the nearest hundredths

solong [7]

Answer:

12.04

Step-by-step explanation:

Find the number in the hundredth place 4 and look one place to the right for the rounding digit 1 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .

6 0

3 years ago

Two locomotives approach each other on parallel tracks. Each has a speed of 87 km/hr with respect to the ground. If they are ini

sergiy2304 [10]

Answer:

9.3

Step-by-step explanation:

if both travel at same speed they will take equal distance and time to reach the middle and collide.

hence, 27/2 =13.5km

speed=distance/time

time = distance/speed

time= 13.5/87 = 0.15517mm hr

0.15517×60 = 9.31minutes

4 0

4 years ago

In the university library elevator there is a sign indicating a 16-person limit as well as a weight limit of 2750 pounds. Suppos

Alona [7]

Answer:

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .