All categories

2 years ago

Third-degree, with zeros of -3,-1, and 2, and passes through the point (3,6).

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

3 0

Answer:

Below.

Step-by-step explanation:

In factor form this is:

f(x) = a(x + 3)(x + 1)(x - 2) where a is a number to be found.

As it passes through (3, 6) we have:

6 = a(3 + 3)(3 + 1)(3 - 2)

24a = 6

a = 1/4.

So f(x) = 1/4(x + 3)(x + 1)(x - 2)

In general form this is:

f(x) = 1/4 x^3 + 1/2 x^2 - 5/4 x - 3/2

You might be interested in

Help with this one please 20 points brain lest and a thanks on your page honestly just giving points away

Kitty [74]

The answer is C.

It has a negative slope (-40) and a y-intercept at 200.

3 0

3 years ago

Mark and don are planning to sell each of their marble collections at a garage sale. if don has 4 more than 5 times the number o

natita [175]

Mark and Don have to sell 11 and 59 marbles respectively.

Explanation

Lets assume, the number of marbles Mark has is $x$

As, Don has 4 more than 5 times the number of marbles mark has, so the number of marbles Don has $= 5x+ 4$

Question says that the total number of marbles is 70. So, the equation will be...

$x+(5x+4)= 70\\ \\ 6x+4= 70 \\ \\ 6x = 70-4\\ \\ 6x=66 \\ \\ x= \frac{66}{6}= 11$

So, the number of marbles Mark has = 11

and the number of marbles Don has = $(5*11)+4 = 55+4= 59$

6 0

3 years ago

A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken

Leviafan [203]

Answer:

a. H0:μ1≥μ2

Ha:μ1<μ2

b. t=-3.076

c. Rejection region=[tcalculated<−1.717]

Reject H0

Step-by-step explanation:

As the score for group 1 is lower than group 2,

Null hypothesis: H0:μ1≥μ2

Alternative hypothesis: H1:μ1<μ2

b) t test statistic for equal variances

t=(xbar1-xbar2)-(μ1-μ2)/sqrt[{1/n1+1/n2}*{((n1-1)s1²+(n2-1)s2²)/n1+n2-2}

t=63.3-70.2/sqrt[{1/11+1/13}*{((11-1)3.7²+(13-1)6.6²)/11+13-2}

t=-6.9/sqrt[{0.091+0.077}{136.9+522.72/22}]

t=-3.076

c. α=0.05, df=22

t(0.05,22)=-1.717

The rejection region is t calculated<t critical value

t<-1.717

We can see that the calculated value of t-statistic falls in rejection region and so we reject the null hypothesis at 5% significance level.

7 0

3 years ago

Situation D: Suppose that, in a one-minute period during an electrical storm, the number of lightning strikes on a radar antenna

Crank

Answer:

21.77% probability that the antenna will be struck exactly once during this time period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

In this question:

$\mu = 2.40$

Find the probability that the antenna will be struck exactly once during this time period.

This is P(X = 1).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-2.40}*2.40^{1}}{(1)!} = 0.2177$

21.77% probability that the antenna will be struck exactly once during this time period.

3 0

2 years ago

Karen drew triangle with said length 3centimeters

pochemuha

What’s the question ?

6 0

3 years ago