All categories

2 years ago

What is the solution set to the inequality 5(x – 2)(x + 4) > 0?

Mathematics

2 answers:

ankoles [38]2 years ago

8 0

Answer:

Step-by-step explanation:

The Answer is {x| x <-4 or x> 2}

AlekseyPX2 years ago

5 0

Answer:

(-∞,4) U (2,∞)

Step-by-step explanation:

5(x – 2)(x + 4) > 0

to solve this inequality , first we replace > symbol by =

5(x – 2)(x + 4) = 0

solve for x

5(x-2)=0

x-2=0 so x= 2

x+4=0 so x= -4

Now we make a number line

use the x values and break the number line into three intervals

-infinity to -4 , -4 to 2 , 2 to infinity

Pick a number from each interval and check with our inequality

-infinity to -4 , pick -6

5(x – 2)(x + 4) > 0

5(-6 – 2)(-6 + 4) > 0

80>0 , true

So (-∞,4) satisfies our inequality

-4 to 2 , pick 0

5(x – 2)(x + 4) > 0

5(0 – 2)(0+ 4) > 0

-40>0 , False

2 to infinity , pick 3

5(x – 2)(x + 4) > 0

5(3 – 2)(3 + 4) > 0

35>0 , true

So (2,∞) satisfies our inequality

You might be interested in

A random sample of 40 college students has a mean earnings of $3120 over the summer months. Assume the population standard devi

PSYCHO15rus [73]

Answer:

A normal distribution or z-test is used to construct a confidence interval.

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = $3120

Sample size, n = 40

Population standard deviation, σ = $677

The distribution of earnings of college is a normal distribution.

Conditions:

Since we are given the population standard deviation and the the sample size is also greater than 30.

Conclusion:

Thus, we use a normal distribution or z-test to construct a confidence interval.

4 0

3 years ago

Suppose you invest $50 a month in an annuity that earns 4% APR compounded monthly. How much money will you have in this account

skelet666 [1.2K]

To solve this we are going to use formula for the future value of an ordinary annuity: $FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]$
where
$FV$ is the future value
$P$ is the periodic payment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the number of years

We know from our problem that the periodic payment is $50 and the number of years is 3, so $P=50$ and $t=3$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{4}{100}$
$r=0.04$
Since the interest is compounded monthly, it is compounded 12 times per year; therefore, $n=12$ .
Lets replace the values in our formula:
$FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]$
$FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]$
$FV=1909.08$

We can conclude that after 3 years you will have $1909.08 in your account.

4 0

3 years ago

Read 2 more answers

Explain how a number line can be used to find the difference for 34-28

Luba_88 [7]

You can count from 34-28 and the numbers you counted (the numbers in between 34-28) is your answer.

6 0

3 years ago

Read 2 more answers

Air-USA has a policy of booking as many as 24 persons on an airplane that can seat only 22. (Past studies have revealed that onl

Alex17521 [72]

Answer:

B. no, it is not low enough

A. no, it is not low enough

Step-by-step explanation:

Given that Air-USA has a policy of booking as many as 24 persons on an airplane that can seat only 22.

Prob for a random person booked arrive for flight = 0.86

No of persons who books and arrive for flight, X is binomial, since there are two outcomes and each person is independent of the other

The probability that if Air-USA books 24 persons, not enough seats will be available

= P(X=23)+P(x=24)

= 0.1315

B. no, it is not low enough

-------------------------------

The prob we got is >10% also

A. no, it is not low enough

7 0

3 years ago

PLZ HELP / FILL IN THE BLANK

klemol [59]

Answer:

Step-by-step explanation:

Divide 20 by 100 then multiply it by 80, which gives you 16.

5 0

2 years ago