For x > 3, values of the function f(x) = –(x – 3)2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses?
Both the additive inverse and the multiplicative inverse are positive. Both the additive inverse and the multiplicative inverse are negative. The additive inverse is positive, while the multiplicative inverse is negative.
The additive inverse is negative, while the multiplicative inverse is positive.

Answers

Answer 1

Answer:

its c The additive inverse is positive, while the multiplicative inverse is negative.

Step-by-step explanation:

Answer 2

The additive inverse is positive, while the multiplicative inverse is negative.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

A relation is a function if it has only One y-value for each x-value.

The given function is f(x) = –(x – 3)²(x + 2)

Function equal to minus x minus three whole square times of x plus two.

as x>3, the values of x will be positive.

So the additive inverse is positive, while the multiplicative inverse is negative.

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.

A multiplicative inverse or reciprocal for a number x, denoted by 1/x.

Hence, the additive inverse is positive, while the multiplicative inverse is negative.

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Related Questions

What is the probability of rolling a 2 and then a 4? Answer choices are in the form of a percentage, rounded to the nearest whole number.

Answers

Question:

Carl throws a single die twice in a row. For the first throw, Carl rolled a 2; for the second throw he rolled a 4. What is the probability of rolling a 2 and then a 4? Answer choices are in the form of a percentage, rounded to the nearest whole number. O 22% 36% O 3% O 33%

Answer:

The probability of rolling a 2 then 4 is 3%

Step-by-step explanation:

Given

A die rolled twice

Required

Probability of rolling a 2 then 4; i.e. P(2 n 4)

First, we need to list out the sample space

[tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(S) = 6[/tex]

Next, is to calculate P(2)

[tex]P(2) = \frac{n(2)}{n(S)}[/tex]

[tex]P(2) = \frac{1}{6}[/tex]

Next, is to calculate P(4)

[tex]P(4) = \frac{n(4)}{n(S)}[/tex]

[tex]P(4) = \frac{1}{6}[/tex]

Next,is to calculate the required probability using the following formula

[tex]P(2\ n\ 4) = P(2) * P(4)[/tex]

[tex]P(2\ n\ 4) = \frac{1}{6} * \frac{1}{6}[/tex]

[tex]P(2\ n\ 4) = \frac{1}{36}[/tex]

[tex]P(2\ n\ 4) = 0.02777777777[/tex]

Convert to Percentage

[tex]P(2\ n\ 4) = 2.777777777\%[/tex]

Approximate

[tex]P(2\ n\ 4) = 3\%[/tex]

Hence, the probability of rolling a 2 then 4 is 3%

Answer:

3%

Step-by-step explanation:

solve for x 30=5(x + 5)

Answers

Answer:

x = 1

Step-by-step explanation:

Given

30 = 5(x + 5) ← divide both sides by 5

6 = x + 5 ( subtract 5 from both sides )

1 = x

Answer:

Step-by-step explanation:

30 = 5(x + 5) ← divide both sides by 5

6 = x + 5 ( subtract 5 from both sides )

x=1

If m/_a is 155º, what is m/_c?
Pls help ASAP

Answers

According to the Vertical Angles Theorem, the opposite angles of lines intersecting each other are congruent. Therefore vertical angles are always congruent. If m

Angles R and S are supplementary angles. which is the measure of R?

Answers

Answer:

R = 15°

Step-by-step explanation:

Since angles R and S are supplementary angles it means that the sum of their angles add up to 180°

To find R we must first find x

To find x , add angles R and S and equate them to 180

That's

R + S = 180

80 - x + 3x - 30 = 180

2x + 50 = 180

2x = 180 - 50

2x = 130

Divide both sides by 2

x = 65°

From the question

R = 80 - x

But x = 65°

Substitute the value of x into the expression

That's

R = 80 - 65

We have the final answer as

R = 15°

Hope this helps you

Julio is paid 1.1 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 45 hours and eamed $520.80. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable. The earnings equation is $520.80 = Julio's hourly rate is $ per hour. This is reasonable because working 45 hours at a rate of $11 per hour is 45 - 11 = 45(10+1)=450 + 45 = |, and $ is dose to $520.80.

PLEASE ANSWER ASAP!!​

Answers

Julio's hourly rate is going to be $14.4 per hour

Margaret is going to paint a wall that 'is 8 feet high and 15 feet long. How many square feet will she be covering with paint?

Answers

Answer:

120

Step-by-step explanation:

you would do length times width equals area. First you would multiply 8 by 15 which would give you 120 square feet. So Maragaret would be covering 120 square feet with paint

The within-subjects F is the non-independent groups equivalent of the one-way ANOVA. True or False?

Answers

Answer:

Step-by-step explanation:

True

Write an inequality for the graph shown below.
Use x for your variable.

Answers

Answer:

x ≤ 3

Step-by-step explanation:

In the graph given, values of variable x is represented.

From the plot, we note that a small circle is at point 3 on the numberline. This small "o" is shaded, which indicates that the values of x includes 3.

The arrow which starts at 3 on the numberline, points towards our left. This means that the values of x are less than or equal to 3. No value of x is greater than 3.

Therefore, the following inequality can be written for the graph:

x ≤ 3

An 14-meter-tall cylindrical tank with a 2-meter radius holds water and is half full. Find the work (in mega-joules) needed to pump all of the water to the top of the tank. (The mass density of water is 1000 kg/m3. Let g = 9.8 m/s2. Round your answer to two decimal places.)

Answers

Answer:

to two decimal places

= 6.04 mega joules

Step-by-step explanation:

The volume of the half tank

= πr²h

r= 2 m

h= 14/2= 7 m

Volume= 22/7 *2² *7

Volume= 88 m³

work (in mega-joules) needed to pump all of the water to the top of the tank

= Volume*mass density *acceleration*distance

= 88*1000*9.8*7

= 6036800 joules

In mega joules

= 6.036800 mega Joules

to two decimal places

= 6.04 mega joules

The work needed to pump all of the water to the top of the tank is 6.03 MJ

What is work?

Work is said to be done whenever a force move a body through a certain distance.

To calculate the work needed to pump the water to the tank, first we need to find the volume of the water in the tank half full.

Formula:

V = πr²h/2................ Equation 1

Where:

V = Volume of half full water in the tankh = height of the tankr = radius of the base of the tankπ = pie

From the question,

Given:

r = 2 mh = 14 mπ = 3.14

Substitute these values into equation 1

V = 3.14(2²)(14)/2V = 87.92 m³.

Finally, to get the work needed to pump all the water to the top of the tank, we use the formula below.

W = ρVhg/2................. Equation 2

Where:

W = Work needed to pump all the water to the of the tankρ = Density of the tankh = height of the tankV = Volume of halfull water in the tankg = acceleration due to gravity

From the question.

Given:

ρ = 1000 kg/m³h = 14g = 9.8 m/s²V = 87.92 m³

Substitute these values into equation 2

W = 1000(14)(9.8)(87.92)/2W = 6031312 JW = 6.03 MJ.

Hence, The work needed to pump all of the water to the top of the tank is 6.03 MJ.

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A dilation by a factor of 7/8 maps triangle ABC to triangle XYZ. Segment BC has a length of 4 cm.
What is the length of segment YZ?
3.5 cm
7.8 cm
4.5 cm
0.5 cm
HELP ASAPPPPP

Answers

I believe the answer should be 3 and 1/2 which is 3.5 because I did the factor 7/8 times 4 and I got 3 and 1/2 I’m not sure

What is the slope of a line that passes through the points (-2,4) and (-6,12) Give your answer in lowest terms

Answers

Answer:

-2

Step-by-step explanation:

We can find the slope for two points

m = ( y2-y1)/(x2-x1)

    = ( 12 - 4)/(-6- -2)

   = 8/( -6+2)

   = 8/-4

   = -2

-2 is the slope!!!!!!

The marketing manager of a firm that produces laundry products decides to test market a new laundry product in each of the firm's two sales regions. He wants to determine whether there will be a difference in mean sales per market per month between the two regions. A random sample of 12 supermarkets from Region 1 had mean sales of 79.8 with a standard deviation of 8.8. A random sample of 17 supermarkets from Region 2 had a mean sales of 85.2 with a standard deviation of 8.3. Does the test marketing reveal a difference in potential meal sales per market in Region 2? Use a signifiance level of a = 0.02 for the test. State the null and alternative hypotheses for the test and find the test statistic.

Answers

Answer:

The null hypothesis is  [tex]H_o: \mu_1 = \mu_2[/tex]

The  alternative hypothesis is  [tex]H_1 : \mu_1 \ne \mu_2[/tex]

The test statistics is  [tex]t = -1.667[/tex]

Step-by-step explanation:

From the question we are told that

  The first sample size is  [tex]n_1 = 12[/tex]

   The  first sample  mean is  [tex]\= x_1 = 79.8[/tex]

    The first standard deviation is  [tex]\sigma _1 = 8.8[/tex]

   The second sample  size is  [tex]n_2 = 17[/tex]

    The  second  sample  mean is  [tex]\= x_2 = 85.2[/tex]

    The second  standard deviation is  [tex]\sigma _2 = 8.3[/tex]

The null hypothesis is  [tex]H_o: \mu_1 = \mu_2[/tex]

The  alternative hypothesis is  [tex]H_1 : \mu_1 \ne \mu_2[/tex]

Generally the test statistics is  mathematically represented as  

                 [tex]t = \frac{\= x_ 1 - \= x_2 }{ \sqrt{ \frac{\sigma_1^2 }{n_1 } +\frac{\sigma_2^2 }{n_2} } }[/tex]

   =>          [tex]t = \frac{ 79.8 - 85.2 }{ \sqrt{ \frac{8.8^2 }{12} +\frac{ 8.3^2 }{17} } }[/tex]

=>                [tex]t = -1.667[/tex]

     

Being able to open and close windows is not a primary technology skill. Please select the best answer from the choices provided

Answers

Answer: False

Step-by-step explanation:

Primary technology skills are simply the skills which are vital in order to attain success in online education. It should be noted that technical skills are knowledge and abilities that are related to information technology which are needed to do certain tasks.

It should be noted that online education is the form of education that is delivered and being administered through the internet.

For one to learn online, it should be noted that being able to open and close windows is a primary technology skill.

Therefore, the statement in the question is false.

Answer: F

I already did the test

The sum of 2 consecutive integers is 21 what’s the two numbers

Answers

Answer:

10 and 11

Step-by-step explanation:

Let the first integer be x.

Then the next one, since it's consecutive, must be (x+1).

The two equals 21. Thus:

[tex](x)+(x+1)=21[/tex]

Combine like terms:

[tex]2x+1=21[/tex]

Subtract 1 from both sides:

[tex]2x=20[/tex]

Divide both sides by 2:

[tex]x=10[/tex]

So, the first integer is 10.

And the second integer is 10+1=11.

Answer:

10 , 11

Step-by-step explanation:

The sum of two consecutive integers is 21.

Let the least of the integer be signified by the variable x.

Consecutive means "directly after", which means the other integer would be: x + 1

Set the equation:

(x) + (x + 1) = 21

Simplify. Combine like terms:

x + x + 1 = 21

(x + x) + 1 = 21

2x + 1 = 21

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 1 from both sides:

2x + 1 (-1) = 21 (-1)

2x = 21 - 1

2x = 20

Next, divide 2 from both sides:

(2x)/2 = (20)/2

x = 20/2

x = 10

Plug in 10 for x in the equation:

(x) + (x + 1) = 21

10 + (10 + 1) = 21

10 + 11 = 21

21 = 21 (True)

The two numbers are 10, 11.

~

PLEASE HELP ME!!! Which expression is equivelent to 4(9+7) A. 36 + 7 B. 13 + 11 C. 36 + 28 D. 13 + 7

Answers

Using the distributive property , 4*9+4*7 or 36+28

Answer:C

Step-by-step explanation:

9+7=16

16 times 4 = 64

36+28=64

Use the round trip airfare table to determine the percentile rank of $1,133​

Answers

Answer:

R= $1,133/100(7+1)

=234.86 RS.

Step-by-step explanation:

percentile rank is the percentage of scores that shall be equal to or less than a given value. The percentage falls within the range of 0 to 100. To find out the percentile rank, we used the formula:

R= P/100(N+1). Where R is the percentile rank, p is a percentile and N number of items.

Let for round trip airfare; the percentile is $1,133. And the number of days for the trip is 7.put these values in the formula, we have

R= $1,133/100(7+1)

=234.86 RS.

Which of these fractions are greater than 11/20 ?

a. 3/4
b. 3/10
c. 4/5
d. 1/2​

Answers

both a and c
3/4 and 4/5

Answer:

A.

Step-by-step explanation:

All you have to do is convert all those fractions to 20.

So 3/4 will be 15/20, 3/10 would be 6/20, 4/5 would be 16/20 and 1/2 would be 10/20. It could be a or b. Does it say select all possible answers?

Calculate the perimeter of the segment of a circle of radius 8cm. If chord subtemds angle 98 degree at the center

Answers

Answer:

If radius = 8 cm and we needed perimeter of complete circle then

circumference (or perimeter) = 2*PI * 8 = 50.2654824574  cm

or 50.27 cm (rounded)

Step-by-step explanation:

f(x) = 5(x+4) − 6, solve for the inverse function when x = 19

Answers

Answer:

-1

Step-by-step explanation:

First find the inverse function.  Rewrite the given function as

y = 5(x + 4) - 6  =  5x + 20 - 6  =  5x + 14

Second, interchange x and y:

x = 5y + 14

Third, solve this result for y:

5y = 14 - x, or y = (1/5)(14 - x)

This last result is the inverse function of the given f(x).

The value of this inverse at x = 19 is (1/5)(14 - 19) = (1/5)(-5) = -1

Use the summation formulas to rewrite the expression without the summation notation. summation_k = 1^n 12k(k - 1) / n^3 Use the result to find the sums for n = 10, n= 100, n= 1000 n= 10,000.

Answers

Answer:

[tex]Sum=4*[\frac{n^2-1}{n^2}][/tex]

For n=10:

Sum=3.96

For n=100:

Sum=3.9996

For n=1000:

Sum=3.999996

For n= 10000:

Sum=3.99999996

Step-by-step explanation:

Formula:

[tex]\sum_{k=1}^n \frac{12k(k-1)}{n^3}[/tex]

Rearranging the above formula:

[tex]\sum_{k=1}^n \frac{12}{n^3}*k(k-1)\\\sum_{k=1}^n \frac{12}{n^3}*(k^2-k)[/tex]            Eq (1)

According to summation formula:

[tex]\sum_{k=1}^n\ k= \frac{n(n+1)}{2}\\ \sum_{k=1}^n\ k^2= \frac{n(n+1)(2n+1)}{6}\\[/tex]

Putt these in Eq (1), and we will get:

[tex]=\frac{12}{n^3}[\frac{n(n+1)(2n+1)}{6}-\frac{n(n+1)}{2}]\\Taking\ n\ as\ common\\=n*\frac{12}{n^3}[\frac{(n+1)(2n+1)}{6}-\frac{(n+1)}{2}] \\=\frac{12}{n^2}*[\frac{(n+1)(2n+1)}{6}]-\frac{12}{n^2}*[\frac{(n+1)}{2}] \\=\frac{2*(n+1)(2n+1)}{n^2}-\frac{6(n+1)}{n^2}\\[/tex]

Taking [tex]2(n+1)[/tex] as common:

[tex]=2(n+1)*\frac{2n+1-3}{n^2} \\=(2n+2)*\frac{2n-2}{n^2}\\=\frac{4n^2-4}{n^2}[/tex]

After more simplifying,

[tex]Sum=4*[\frac{n^2-1}{n^2}][/tex]

Now ,for n=10:

[tex]Sum=4[\frac{(10^{2})-1}{10^{2}}]\\Sum=3.96[/tex]

For n=100:

[tex]Sum=4[\frac{(100^{2})-1}{100^{2}}]\\Sum=3.9996[/tex]

For n=1000

[tex]Sum=4[\frac{(1000^{2})-1}{1000^{2}}]\\Sum=3.999996[/tex]

For n=10000:

[tex]Sum=4[\frac{(10000^{2})-1}{10000^{2}}]\\Sum=3.99999996[/tex]

f(x) = -x² – 3 x + 3
Find f(7)

Answers

the answer is -67 because you use the given function to set up and simplify  f(7).

A rectangle has_______sides that are straight lines, ______ and _____ opposite sides, and angles of _____. I need help​

Answers

Answer:

A rectangle has_four_sides that are straight lines, _parallel_ and _equal_ opposite sides, and angles of [tex]90^o[/tex]_.

Step-by-step explanation:

Un guardia forestal divisa, desde un punto de observación A, un incendio en la dirección N27° 10’ E. Otro guardia, que se encuentra en el punto de observación B, a 6 millas al este de A, ve el mismo fuego en la dirección N52° 40’ W. Calcula, al décimo de milla más cercano la distancia de cada uno de los puntos de observación al incendio

Answers

Answer:

la distancia del punto de observación A al incendio = 5.5 millas

la distancia del punto de observación B al incendio = 3.8 millas

Step-by-step explanation:

La expresión esquemática de la pregunta se puede ver en la imagen adjunta a continuación :

Del siguiente diagrama;

Usando la sine regla:

[tex]\dfrac{sin \ F}{f} = \dfrac{sin \ A }{a}[/tex]

[tex]\dfrac{sIn \ 79}{6} = \dfrac{sin \ 63}{a}[/tex]

a sin 79 = 6 sin 63

[tex]a =\dfrac{6 \times sin \ 63}{sin \ 79}[/tex]

[tex]a =\dfrac{6 \times 0.8910}{0.9816}[/tex]

a = 5.446 millas

la distancia del punto de observación A al incendio = 5.5 millas (a la décima más cercana)

[tex]\dfrac{sin \ F}{f} = \dfrac{sin \ B}{b}[/tex]

[tex]\dfrac{sin \ 79}{6} = \dfrac{sin \ 38}{b}[/tex]

b sin 79 = 6 sin 38

[tex]b = \dfrac{6 \times sin \ 38}{sin \ 79}[/tex]

[tex]b = \dfrac{6 \times0.6157 }{0.9816}[/tex]

b = 3.7635 millas

la distancia del punto de observación B al incendio = 3.8 millas (a la décima más cercana)

if you have driven 225 miles in 3 hours, then how long would it take you to drive 300 miles?

Answers

Answer:How many miles can a car be driven in 3 hours at 50 miles per hour? Under normal circumstances and the generally assumed conditions, the answer is of course (3 hours) * (50 miles / hour) = 150 miles.

3.5 hours

It will take you 3.5 hours to go 280 miles at 80 miles an hour.It travels at constant speed for the remaining time. Let x be the time traveled at the unknown constant speed. The total itme for the trip was 6 hours so: 6 = time traveled at 50 mph + time traveled at 60 mph + time traveled at x mph.

Step-by-step explanation:So you drive 25 miles / hour. then 25 miles/ 1 hour = 225 miles / nb of hours.2 minutes

However, traveling at 30 MPH for 1 mile (1 lap) takes 2 minutes, which means that your average will never be 60MPH.approximately 0.6818 miles per hour.

If $10,000 is placed in an investment paying 4.8% yearly interest compounded annually, how long will it take for the account to double?

Answers

Answer:

15 years.

Step-by-step explanation:

We have the equation:

20000 = 10000(1 + 0.048)^t     where t is the number of years.

1.048 t = 20000/10000 = 2

Taking logs:

t ln 1.048 = ln 2

t = ln 2 / ln 1.048

t = 14.78

Interpret the coefficient of variation according to the context, determining the most homogeneous set

Answers

Answer:

2009 data set is most homogeneous

Step-by-step explanation:

As per coefficient of variation, which is around 5% for the year 2009 and around 20% for the year 2010 we can state that the data set for the year 2009 is most homogeneous

Homogeneous means similar, it can be observed on the graph as well that the data for the year 2009 is less variant

Hope it answers your question.

The last digit of the heights of 39 statistics students were obtained as part of an experiment conducted for a class. Use the frequency distribution below to construct a histogram. Choose the correct histogram below. Answer

Answers

Answer: 32

Step-by-step explanation:

Solve 3x – 1.1 = 0.7

Answers

Answer:

x = 0.6

Step-by-step explanation:

3x - 1.1 = 0.7

3x = 1.8

x = 0.6

Answer:

x = .6

Step-by-step explanation:

3x – 1.1 = 0.7

Add 1.1 to each side

3x – 1.1+1.1 = 0.7+1.1

3x = 1.8

Divide each side by 3

3x/3 = 1.8/3

x = .6

please help me in this question!

Answers

Answer:

n = 5

Step-by-step explanation:

All of the other choices are true except for n = 5, which is a counterexample. [tex]4^{5}[/tex] = 1024, which is greater than the other side as the other side is:

and [tex]4^{2}[/tex] = 16, 16 + 250 = 266

1024 < 266 is definitely false.

Therefore, the counterexample is n = 5.

Round each number to three significant figures.a. 3.14159 b. 6.12356c. 4.56787

Answers

Answer:

The round off values are- 3.14, 6.12, and 4.57 respectively.

Step-by-step explanation:

The given value to which we have to round off is a. 3.14159 b. 6.12356 c. 4.56787

In order to round off the number we must keep in mind that there should be three digits in total and we will increase the value by one if the right-hand side value is more than 5.  

Thus round off figure of 3.14159 is 3.14.

The round off figure of 6.12356 is 6.12.

The round off figure of 4.56787 is 4.57.

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