Find the zeros of y= x2 - 6x-4 by completing the square.

Dasts<br> To solve 5(2x + 4) = 15, first divide each side by

Alexxx [7]

Answer:5

Step-by-step explanation:

3 0

3 years ago

Find roots of the equation and state the multiplicity

olya-2409 [2.1K]

$({x + 2})^{3} = {x}^{3} + 6 {x}^{2} + 12x + 8$
so the answer is
$x = - 2$

7 0

3 years ago

solve the problem related to population growth.A city had a population of 23,900 in 2007 and a population of 25,100 in 2012.(a)

Finger [1]

Solution

a)

To find the exponential growth function, we apply the exponential growth formula which is

$N(t)=a(1+k)^t$

Where

$\begin{gathered} a\text{ is the }initial\text{ population} \\ k\text{ is the growth rate} \\ t\text{ is the number of time intervals} \end{gathered}$

Given that

$\begin{gathered} a=23,900 \\ N(5)=25,100 \\ t=2012-2007=5 \end{gathered}$

Substitute the variables into the exponential growth formula

$\begin{gathered} 25100=23900(1+k)^5 \\ \text{Divide both sides by 23,900} \\ \frac{25100}{23900}=\frac{23900(1+k)^5}{23900} \\ 1.05021=(1+k)^5^{} \\ \sqrt[5]{1.05021}=1+k \\ 1.00984=1+k \\ \text{Collect like terms} \\ k=1.00984-1 \\ k=0.00984 \end{gathered}$

Hence, the exponential growth function is

$\begin{gathered} N(t)=23900(1+0.00984)^t_{} \\ N(t)=23900(1.00984)^t \end{gathered}$

Hence, the exponential growth function is

$N(t)=23900(1.00984)^t$

b)

For the population of the city in 2022,

$\begin{gathered} t=2022-2007=15 \\ t=15 \end{gathered}$

Substitute for t into the exponential growth function

$\begin{gathered} N(t)=23900(1.00984)^t \\ N(15)=23900(1.00984)^{15} \\ N(15)=27700\text{ (nearest hundred)} \end{gathered}$

Hence, the population is 2022 is 27700 (nearest hundred)

8 0

1 year ago

A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the ques

Vikentia [17]

25 i did this before its easy

6 0

3 years ago

Read 2 more answers

g Determine if the following probability experiments represents a binomial experiment. Explain your answer as to why or why not.

Klio2033 [76]

Answer:

a) It is a binomial experiment

b) It is not a binomial experiment, since we do not have a value of n.

Step-by-step explanation:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

So:

a) A poll of 1200 registered voters is conducted in which the respondents are asked whether they believe Congress should reform Social Security.

For each voter, there are only two outcomes. Either they believe the Congress should reform Social Security, or they do not believe.

There are 1200 voters, so $n = 1200$ .

Each voter has a probability of voting yes and a probability of voting no. So yes, it is a binomial experiment.

b) A baseball player who reaches base safely 30% of the time is allowed to bat until he reaches base safely for the third time. The number of at-bats required is recorded.

Here, there is no fixed number of at bats, so there is no value of n. So this is not a binomal experiment.

7 0

3 years ago