QUESTION 20

Para el par de funciones, encuentre la suma, diferencia, producto o cociente indicado.

f(x) = -2x 2 - 6. g(x) = x + 4

Encuentra (f - g)(-5).

O a. -47

O b.-55

O c. 61

O d.-65

Answers

Answer 1

Answer:

B. -55

Step-by-step explanation:

La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:

1) [tex]f(x) =-2\cdot x ^{2}-6[/tex] Dado

2) [tex]g(x) = x+4[/tex] Dado

3) [tex](f-g)(x) = (-2\cdot x^{2}-6)-(x+4)[/tex] Definición de resta de funciones.

4) [tex](f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)[/tex]        [tex](-1)\cdot a = -a[/tex]

5) [tex](f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)[/tex] Propiedad distributiva/[tex](-1)\cdot a = -a[/tex]

6) [tex](f-g)(x) = -2\cdot x^{2}-x+(-6-4)[/tex] Propiedad conmutativa

7) [tex](f-g) (x) = -2\cdot x^{2}-x-10[/tex] Sustracción de términos semejantes/Resultados.

A continuación, evaluamos la función resultante en [tex]x = -5[/tex]:

[tex](f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10[/tex]

[tex](f-g)(-5) =-55[/tex]

Por ende, la respuesta correcta es B.


Related Questions

Find two numbers who’s product is 132 and whose sum is 23

Answers

Answer : The two numbers are 11 and 12.

PLEASE HELP!!


Sorry for all the tabes I'm working on a presentation at the same time.

Answers

Answer:

0.5

Step-by-step explanation:

use rise over run, from (-6,0) to (0,3) it rises 3 and runs 6. 3/6 = 1/2.

Answer:

the slope is two

Step-by-step explanation:

rise over run

What is the opposite of -2
A: -1/2
B:0
C:2

Answers

c is the opposite of -2 on a number line

Answer: C

The opposite value of -2 is 2 because:

Remove the minus sign from the number 2. Take it and it is your answer.

Hope this answer helps!

Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over then u got to show ur work​

Answers

Answer:

The greatest number of identical arrangements is 6 units of 9 roses and 7 tulips each.

Step-by-step explanation:

Tulips represent the limiting quantity. In this case, the easiest and most effective approach is determining the ratio of roses to tulips to get how many roses must be left along with a minimum quantity of tulips in a unit. That is:

[tex]x = \frac{54\,roses}{42\,tulips}[/tex]

[tex]x = \frac{27\,roses}{21\,tulips}[/tex]

[tex]x = \frac{9\,roses}{7\,tulips}[/tex]

The greatest number of identical arrangements is 6 units of 9 roses and 7 tulips each.

Answer:

Step-by-step explanation:

550 es 10 veces mayor que 500​

Answers

Answer:

Eso es incorrecto 550 es mayor por solamente 50 numeros

Step-by-step explanation:

What is the percent of decrease from 2,000 to 1,000?

Answers

Answer:

50%

Step-by-step explanation:

2,000 is 2 x more than 1,000. Or, 1,000 is half of 2,000 and half of 100%=50%.

y=-2x-1 when x=-7 please shows steps thanks

Answers

Answer:

Y = -15

Step-by-step explanation:

When you understand how to do it, it's easy!

since x = -7, replace x with -7...

y = 2(-7) - 1

then...multiply...

y = -14 - 1

then finish...

y = -15

wooHoo! Pls Brainliest! Would help a lot! ;)

HELLP ASAAAAP If each of two complimentary angles has the same measure, then which angle will equal _______.

Answers

Answer:

A complimentary angle is 90°

Step-by-step explanation:

Hope this helped! <3

Ralph chase plans to sell a piece of property for 170000 he wants the money to be paid off in two ways -a short-term note at 11% interest and a long term note at 9% interest. Find the amount of each note if the total annual interest paid is 171700

Answers

Answer:

There is something wrong with the question because you cannot earn more interest during a year than the principal if you earn only 9% or 11%. You would have to earn more than 100%, so I will do this calculation based on $17,170 (not $171,700) earned in interest per year.

let S = amount received from short term note, and L = amount received from long term note

0.11S + 0.09L = 17170

S + L = 170000

S = 170000 - L

0.11 (170000 - L) + 0.09L = 17170

18700 - 0.11L + 0.09L = 17170

1530 - 0.02L = 0

1530 = 0.02L

L = 1530 / 0.02 = $76,500

S = 170000 - 76500 = $93,500

Please explain step by step how you will answer the equation 4(x+6)-11= 25. You
may write down the problem and explain it when you are solving the equation.

Answers

Answer:

x=3

Step-by-step explanation:

4(x+6)-11= 25

Distribute the 4: 4x+24-11=25

Add the 11 on both sides: 4x+24=36

Subtract 24 from both sides:  4x=12

Divide 12 by 4 to isolate x: x=3

I hope this helped, please mark Brainliest, thank you!

Please Help?!?!

Sari has to read a book for English class by the end of the week. She wants to read at least 200 pages in the first 5 days of the week. On average, how many pages should Sari read per day to meet her goal?


p ≥ ____

Answers

Answer:

40

Step-by-step explanation:

200 divided by 5 = 40

Consider the function below. Find f(x) = 7

f(x) = 4x - 9

Answers

Answer:

x=4

Step-by-step explanation:

it tel you that f(x) = 7 so replace "f(x)" for 7 in the equation. You then get 7 = 4x - 9 so now you solve for x. You have to isolate x so you add 9 to the other side since you do the opposite of -9. Once you add 9 and 7, then divide the answer by 4. You should get 4 = x.

Work:

f(x) = 4x - 9

7 = 4x - 9

7 + 9 = 4x

16 = 4x

16 ÷ 4 = x

4 = x

A pattern is describe by an= 3n -5 what are the first four ters of the sequence?

Answers

9514 1404 393

Answer:

  -2, 1, 4, 7

Step-by-step explanation:

Start with n=1. Put the value where n is in the expression and do the arithmetic.

  a1 = 3·1 -5 = -2

  a2 = 3·2 -5 = 1

  a3 = 3·3 -5 = 4

  a4 = 3·4 -5 = 7

__

You may notice that each term is 3 more than the previous one.

Solve for b: b / 2-5 = 13 *
Your answer

Answers

[tex]\text {Hello! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Simplify the Equation}}[/tex]

[tex]\text {b=1 so b/2 becomes 1/2}[/tex]

[tex]\text {Your New Problem Is: 1/2b-5=13}[/tex]

[tex]\text {\underline {The Second Step is to Add 5}}[/tex]

[tex]\text {1/2b-5+5=13+5}[/tex]

[tex]\text {Your New Problem Is: 1/2b=18}[/tex]

[tex]\text {\underline {The Final Step is to Multiply 2}}[/tex]

[tex]\text {2*1/2b}=2*18}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {b=36}[/tex]

[tex]\text {Best of Luck!}[/tex]

Amy is having her birthday party at a roller skating rink. The rink charges a fee of $50 plus $8 per person. If Amy wants to spend at the most $170 for the party at the rink, how many people can she invite to her party? Write a let x statement, an inequality and solve.

Answers

Answer:

(170 - 50)/8 = X

Step-by-step explanation:

X = amount of people

(170 - 50)/8 = X

Inequality

X = Number of People

50+(8*X) [tex]\leq[/tex] 170

The x statement is x ≤ 15. An inference is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.

What is meant by inequality?Inequality the state of not being equal, particularly in status, rights, and opportunities1 is central to social justice theories. However, it is prone to misunderstanding in public debate because it means different things to different people. Some distinctions, however, are universal. A solution to an inequality in x is a number that, when substituted for x, yields a true statement. So, for example, 4 is a solution, whereas 8 is not. An inequality's solution set is the set of all solutions.The expression 5x 4 > 2x + 3 resembles an equation, but the equals sign has been replaced by an arrowhead. It's an example of inequity.

Therefore,

(170 - 50)/8 = X

X = Number of People Over 50 (170 - 50)/8 = X

Inequality (8 × X) ≤ 170

An inequality is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.

To learn more about inequality, refer to:

https://brainly.com/question/24372553

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Find the product of (x + 3)(x - 3)

Answers

Answer:

= x ^2-9 answer.,...,...,..

i’ll mark brainlest! i need help on other questions too! thankkk you

Answers

Answer:

-3/2

Step-by-step explanation:

Parallel lines have equal slopes.

help me pleASE will give brianliest

Answers

Answer:

REALLY

Step-by-step explanation:

i think its a

Which of the following words is defined as “the study of hearing”? audiology audiologist audiometer audio

Answers

Answer:

audiology

Step-by-step explanation:

Because.

Answer:

A is correct

Step-by-step explanation:

I hope you find it in your heart to give me brainliest

Molly’s hair was 20 inches long . Three years later it was 35 inches long

Answers

Answer:

Step-by-step explanation:

75

What is the solution to the given inequality?

one-half minus one-fourth x is greater than or equal to negative one-fourth

Answers

Answer:

[tex]x \leq 1[/tex]

Step-by-step explanation:

Write it out:

[tex]\frac{1}{2} -\frac{1}{4}x \geq \frac{1}{4}[/tex]

Get x alone

Subtract 1/2 from both sides

[tex]-\frac{1}{4} x \geq -\frac{1}{4}[/tex]

Divide both sides by -1/4 (NOTE: Dividing by a negative you must flip the sign)

[tex]x \leq 1[/tex]

Hope this helps,

Answer:x ≤ 3

Step-by-step explanation:

Other guy is wrong

The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.05 of the true proportion

Answers

Answer:

The answer is "6.635776".

Step-by-step explanation:

If the proportion estimation is not given, then the approximate is true. So, it is in the top condition, which referring its overall error margin that is equal to 0.5.  

Therefore the margin of error=0.05   With z=2.576  

[tex]\to 0.05=2.576 \times \sqrt{(0.05 \times \frac{0.05}{N})}\\\\\to 0.05=2.576 \times \sqrt{( \frac{0.0025}{N})}\\\\\to \sqrt{N}= \frac{2.576 \times 0.05}{0.05}\\\\\to \sqrt{N}= 2.576[/tex]

square the above equation:

[tex]\to (N)^2= (2.576)^2\\\\\to N^2= 6.635776\\\\[/tex]

So the number of required residents=6.635776

What is the quotient of 8,595 ÷ 247/ tell me the remainder not 358.125000


Answers

Answer:

34 R 197

Step-by-step explanation:

Complex my way

I’ll give you brainly thingy just help me

Answers

Answer:

4

Step-by-step explanation:

janesa has 24 coins in her pocket worth exactly $1.00. she tells her younger brother jackson that he can have the coins if he correctly guesses how many of each coin she has. she gives him the hint that there are only nickels and pennies. complete the equation that represents the total value of the nickels and p pennies 5( blank ) + p = 100

Answers

Answer:

Number of Nickels = 19

Number of pennies = 5

Step-by-step explanation:

The type of coins that Janessa has = nickels and pennies.

Janessa has a total number of 24 coins

The sum of the nickels and pennies = $1.00

Let us represent the number of nickels as x

The number of pennies as y

Hence, our system of equations is :

x + y = 24..... Equation 1

x = 24 - y

A nickel is worth 5 cents.

1 nickel = $0.05

A penny is worth 1 cent.

1 penny = $0.01

Therefore,

$0.05× x + $0.01 × y= $1.00

0.05x + 0.01y = 1.00........Equation 2

Substitute 24 - y for x in Equation 1

0.05(24 - y) + 0.01y = 1

1.2 - 0.05y + 0.01y = 1

1.2 - 1 = 0.05y - 0.01y

0.2 = 0.04y

y = 0.2/0.04

y = 5

We have 5 pennies

x = 24 - y

x = 24 - 5

x = 19

We have 19 nickels

Explain! First to answer will be named brainliest!

Answers

Answer:

(0,0)

(1,3)

(2,6)

(3,9)

or vise versa, depending on how you graph it

Step-by-step explanation:

A study is designed to determine whether grades in a statistics course could be improved by offering special review material. The 250 students enrolled in a large introductory statistics class are also enrolled in one of 20 lab sections. The 20 lab sections are randomly divided into two groups of 10 lab sections each. The students in the first set of 10 lab sections are given extra review material during the last 15 minutes of each weekly lab session. The students in the remaining 10 lab sections receive the regular lesson material, without the extra review material. The grades of the students who reviewed weekly were higher, on average, than the students who did not review every week. What type of study is this

Answers

Answer:

Experimental but not double-blinded study

Step-by-step explanation:

The type of study being described is an Experimental but not double-blinded study. That is because it is a study that has a control group, dependent variable, and an independent variable all used in order to acquire specifically targetted data from the results that are derived from the experiment itself. Also since the scientists/researchers know exactly which lab sections are getting the extra review material (independent variable), then that makes this a non-double-blinded study.


If you can walk 3 1/3 miles in an hour, how many miles can you walk in 30 minutes, given the
same pace?

Answers

Answer:

d = 1.67 miles

Step-by-step explanation:

Given that,

Speed of a person,  [tex]s=3\dfrac{1}{3}\ mph[/tex]

We need to find how many miles can you walk in 30 minutes, given the  same pace.

30 minutes = 0.5 h

[tex]3\dfrac{1}{3}\ mph = \dfrac{10}{3}\ mph[/tex]

Speed = distance/time

[tex]d=v\times t\\\\d=\dfrac{10}{3}\ mph\times 0.5\ h\\\\d=1.67\ miles[/tex]

So, the person will cover a distance of 1.67 miles

Write an equation in slope-intercept form of the line that passes through (4, 6) and (9,2)

Answers

Answer:

m=0

b=-9

Step-by-step explanation:

Slope is equal to the change in

y

over the change in

x

, or rise over run.

m

=

change in y

change in x

The change in

x

is equal to the difference in x-coordinates (also called run), and the change in

y

is equal to the difference in y-coordinates (also called rise).

m

=

y

2

y

1

x

2

x

1

Substitute in the values of

x

and

y

into the equation to find the slope.

m

=

9

(

9

)

2

(

4

)

The equation of the line is equal to y=-5x/4 +c

What is the slope-intercept form of a line?

The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line

Given here: The given line passes through (4,6) and (9,2)

We know the slope intercept form is given by

y=mx+c

putting (4,6)  in the equation we get

6=4m+c

Again substituting (9,2) in the equation we get

2=9m+c

Thus solving this two equations we get the value of m=-5/4 and c=11

Hence, The equation of the line is equal to y=-5x/4 +c

Learn more about the slope intercept form here:

https://brainly.com/question/29146348

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Lane French had a bad credit rating and went to a local cash center. He took out a $100 loan payable in two weeks at $111.50. What is the percent of interest paid on this loan? (Do not round intermediate calculations. Round your answer to the nearest whole percent.)

Answers

Answer:$15 = 100 x rate x (2/52)

The 2/52 represents 2 weeks out of 52 weeks in a year

So 15/100 = rate x (2/52)

.15 = rate x (2/52)

If you divide by (2/52) on both sides, you get: 3.9 = rate

Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.

In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)

So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.

I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!$15 = 100 x rate x (2/52)

The 2/52 represents 2 weeks out of 52 weeks in a year

So 15/100 = rate x (2/52)

.15 = rate x (2/52)

If you divide by (2/52) on both sides, you get: 3.9 = rate

Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.

In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)

So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.

I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!

Step-by-step explanation:

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