hi can someone help me here​

Hi Can Someone Help Me Here

Answers

Answer 1

Answer:

[tex]\textsf{1.} \quad x^2-2x-1[/tex]

[tex]\textsf{2.} \quad -3x^4-5x^3+14x^2+20x-8[/tex]

[tex]\textsf{3.} \quad -\dfrac{5}{2}[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x) = x^2 - 4\\g(x) = x + 2\\h(x) = -3x + 1\end{cases}[/tex]

Question 1

The composite function (f + g - h)(x) means to add functions f(x) and g(x) then subtract function h(x):

[tex]\begin{aligned}(f+g-h)(x) & = f(x)+g(x)-h(x)\\& = (x^2-4)+(x+2)-(-3x+1)\\& = x^2-4+x+2+3x-1\\& = x^2+3x+x-4+2-1\\& = x^2+4x-3\end{aligned}[/tex]

Question 2

The composite function (fgh)(x) means to multiply functions f(x), g(x) and h(x):

[tex]\begin{aligned}(fgh)(x) & = f(x)\cdot g(x) \cdot h(x)\\& = (x^2-4)(x+2)(-3x+1)\\& = (x^2-4)(-3x^2-5x+2)\\& = -3x^4-5x^3+2x^2+12x^2+20x-8\\& = -3x^4-5x^3+14x^2+20x-8\end{aligned}[/tex]

Question 3

The composite function (f/g)(h)(1/2) means to substitute the value of function h(x) when x = 1/2 into function f(x) and function g(x) and divide the former by the latter:

[tex]\begin{aligned}\left(\dfrac{f}{g}\right)(h)\left(\dfrac{1}{2}\right) & = \dfrac{f\left(h\left(\dfrac{1}{2}\right)\right)}{g\left(h\left(\dfrac{1}{2}\right)\right)}\\\\& = \dfrac{f\left(-3\left(\dfrac{1}{2}\right)+1\right)}{g\left(-3\left(\dfrac{1}{2}\right)+1\right)}\\\\& = \dfrac{f\left(-\dfrac{1}{2}\right)}{g\left(-\dfrac{1}{2}\right)}\\\\& = \dfrac{\left(-\dfrac{1}{2}\right)^2-4}{\left(-\dfrac{1}{2}\right)+2}\\\\& = \dfrac{-\dfrac{15}{4}}{\dfrac{3}{2}}\\\\& = -\dfrac{5}{2}\end{aligned}[/tex]


Related Questions

3-4 The prime factorizations of 30 and 42 are shown. (D) 30 = 2 × 3 × 5 42 = 2 × 3 × 7 Which product is the greatest common factor of 30 and 42? A. 2 × 3 × 5×7 C. 5 × 7 TOSHIBA B. 2×2×3×3×5×7 D. 2 × 3​

Answers

Answer:

D. 2 × 3​

Step-by-step explanation:

Let's take the prime factorization of 30 and 42

30: 2*15=2*3*5

42: 2*21=2*3*7

Notice any common factors?

GCF: 2*3=6

GCF: 6

Please help if you can​

Answers

This is the correct

This can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days. how many phone calls should she expect after a week?

Answers

From the given equation y = 30(0.92)d, she should expect 193 phone calls after a week.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "="..

If the number of phone calls she should expect can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days, then we can calculate the expected amount phone calls after a week.

To determine how much phone calls she should expect after a week, substitute the value of d.

y = 30(0.92)d

where d = 1 week = 7 days

y = 30(0.92)(7)

y = 193.2

Rounding off to the nearest whole number,

y = 193

Learn more about equation here: https://brainly.com/question/25678139

#SPJ4

The difference between the product of eight and 47 the quotient of seven and five

Answers

Answer:

268.571429

Step-by-step explanation:

Evaluate each expression. Determine if the final simplified form of the expression is positive or negative.
HELP PLEASE!!

Answers

The values of the square numbers are:

a. -16

b. 16

c. 16

How to evaluate the values

From the information given, we have the following expressions;

-4²(-4)²4²

Let's write the squares in simpler form

-4² = - (4 × 4)

This is so because the square was only assigned to 4 and not the negative sign

(-4)² = - 4 × - 4

This is so because the square was assigned to both the negative sign and 4

4² = 4 × 4

This is so because the square was assigned to 4

Now, we have

- (4 × 4) = -16

- 4 × - 4 = 16

4 × 4 = 16

Thus, the values are - 16, 16 and 16 respectively.

Learn more about square numbers here:

https://brainly.com/question/21694652

#SPJ1

Why is the slope of a vertical line undefined.

Answers

The slope of a line can be positive, negative, zero, or undefined. The horizontal line does not rise vertically (y1 − y2 = 0), so the slope is zero, but the vertical line does not extend horizontally (that is, x1 − x2 = 0), so the slope is undefined. As mentioned above, the horizontal line has zero slopes. This does not mean that the horizon has no slope. Since the horizontal line is m=0, it is represented symbolically by the expression y=b. Functions defined by horizontal lines are often called constant functions. The slope of the vertical line is undefined. Any two points on the vertical line have the same x-coordinate, so the gradient cannot be computed as a finite number according to the equation

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

This is because division by zero is an undefined operation.

More similar problems are solved in the given link below.

https://brainly.com/question/3605446?referrer=searchResults

#SPJ4

A professor expects the education and health service industries to increase total employees by 14.8% from 2009 to 2016. Based on the employment graph below, approximately how many new jobs will the education and health service industries gain between 1/2009 and 1/2016?
Education and Health Services - All Employees, 2000-2009
A line graph titled Education and Health Services, All Employees, 2000 to 2009, where the x-axis shows years and the y-axis shows all employees, in thousands. Line starts at 15,000 on January 2000, and increases gradually to 16,000 on January 2002, 17,200 on January 2005, 18,100 on January 2007, and 19,200 on January 2009.

Answers

The number of new jobs gained is 2,842.

How many new jobs are gained?

A graph can be described as a pictorial representation of data. A graph is made up of a x-axis and a y-axis.

Percentage can be described as a fraction of an amount expressed as a number out of hundred. The sign used to represent percentage is %.

Percentage increase from 2009 to 2016 = percentage increase x number of employees in 2009

14.8% x 19,200

0.148 x 19,200 = 2,842

Here is the complete question:

A professor expects the education and health service industries to increase total employees by 14.8% from 2009 to 2016. Based on the employment graph below, approximately how many new jobs will the education and health service industries gain between 1/2009 and 1/2016?

To learn more about graphs, please check: https://brainly.com/question/21527145

#SPJ1

Answer:

c. 16,273,200

Step-by-step explanation:

Edge 2022

53(2x−6)+18=23(x+3)−4.

Answers

Answer:

365/83

Step-by-step explanation:

Distribute where we can

106x - 318 + 18 =23x + 69 - 4

Get variables on one side and constants on the other

106x - 23x = 65 + 300

Do the math

83x = 365

Divide both sides by 83

365/83

Answer:

x = 365/83

Step-by-step explanation:

53(2x−6)+18=23(x+3)−4

106x-318+18=23x+69-4

106x-23x=69-4+318-18

83x = 365

x = 365/83

The age of a woman is four times the age of her daughter. Five years h:t 1ce, the age of the woman wili be three times the age of her daughter. What is the present age of the daughter

Answers

The present age of the daughter is 10 years old.

How to find the age of the daughter?

The age of a woman is four times the age of her daughter.

let

x = age of the daughter

Therefore,

age of the woman = 4x

Five years later, the age of the woman will be three times the age of her daughter.

Therefore,

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

4x - 3x = 15 - 5

x = 10

Therefore, the present age of the daughter is 10 years old.

learn more on age and expression here: https://brainly.com/question/17217732

#SPJ1


An archer aims at a target that is 122 centimeters in diameter with 10 concentric circles whose diameters decrease by 12.2 centimeters as they get closer to the center. Find the probability that the archer will hit the center.

Answers

The probability that the archer will hit the center which is 122 centimeters in diameter with 10 concentric circles whose diameters decrease by 12.2 centimeters as they get closer to the center is 1/100.

As given in the question,

Total number of concentric circle=10

Outer circle diameter=122centimeters

Diameter decrease by 12.2 centimeters as they get closer to the center

Diameter of inner most circle= 122-9(12.2)

                                             = 12.2centimeter

Probability that archer hit the center

= (Area of inner most circle)/ (Area of target)

= π(6.1)²/π(61)²

= {π(61)²/π(61)²}× 1/100

= 1/100

Therefore, probability that the archer will hit the center is 1/100.

Learn more about probability here

brainly.com/question/11234923

#SPJ4

the product of two consecutive number is 18 more than 8 times a number​

Answers

Using algebra, The product of two consecutive numbers is 18 more then 8 times a number

What is Algebra ?

Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics

The two consecutive numbers are :

x and x+1

x(x+1) = 8(x+1) + 18

x^2 + x = 8x + 8 + 18

x^2 + x = 8x + 26

x^2 + x - 8x - 26 = 0

x^2 - 7x - 26 = 0

Substitute a=1,b=−7 and c=−26 into the quadratic formula

       - B  ±  √ B2-4AC

 x =   ————————

                     2A

Accordingly,  B^2  -  4AC   = 49 - (-104) =    153

Applying the quadratic formula :

             7 ± √ 153

  x  =    —————

                  2

x  =  ( 7 ± 3 ×  4.123 ) / 2

Two real solutions:

x =(7+√153)/2=(7+3√ 17 )/2= 9.685

or:

x =(7-√153)/2=(7-3√ 17 )/2= -2.685

To learn more about Algebra click on the link

https://brainly.com/question/22399890

#SPJ9

rewrite each fraction
A. 5/20
B. 9/25
C. 6/7 - 2/5

Answers

A:5/4×5 =1/4
B:9/25
C:30/35 - 14/35=16/35


Determine the slope of the line that contains the given points.
C(3,1), D(-2,1)

Answers

The slope of the line containing (3,1) and (-2,1) is  Zero(0).

The slope of a straight line can be written as follows,

m =  [tex](y_{2} - y_{1} )/(x_{2} - x_{1} )[/tex]                 equation1

The line is containing the points (-3,3) and (4,3). So, we can write

[tex]y_{2}[/tex] = 1 , [tex]y_{1}[/tex] = 1 , [tex]x_{2}[/tex] = -2 , and [tex]x_{1}[/tex] = 3 .

On substituting the values of variables in equation1, we will get

m = ( (1)-(1) ) / ( (-2)-(3) ) = (0/(-5)) = 0.

As the slope of a line is Zero(0), so we can conclude that the given line is a straight line.

Here:

m = the slope of the line

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.

The slope of the line containing  (7,-3) and (-8,-3) is  Zero(0).

To know more about Slope of Straight Line refer to the link:

https://brainly.com/question/3493733

#SPJ4

A certain species of fish costs $5.49 each. You can spend no more than $30. How many of this type of fish can you buy for your aquarium?​

Answers

You can buy 5 fish.
5 times 5.49= 27.45
If you do anymore, such as 6 it will be over $30. 6 times 5.49=32.94


Find the first five terms of each sequence. a n =-n²+2 n

Answers

The first five terms of the sequence. an=n2 +2​ are 3, 6, 11, 18 and 27.

The sequence is given as n² + 2.

The first term will be:

= n² + 2 = 1² + 2 = 1 + 2 = 3

The second term will be:

= n² + 2 = 2² + 2 = 4 + 2 = 6

The third term will be:

= n² + 2 = 3² + 2 = 9 + 2 = 11

The fourth term will be:

= n² + 2 = 4² + 2 = 16 + 2 = 18

The fifth term will be:

= n² + 2 = 5² + 2 = 25 + 2 = 27

Therefore, the first five terms of the sequence. an=n2 +2​ are 3, 6, 11, 18 and 27.

For more information on the sequence click on the link below:

https://brainly.com/question/6561461

#SPJ4

There is a number such that for times the number plus 3 is equal to 19. Find the number

Answers

Answer:

4

Step-by-step explanation:

let the number be n then four times the number is 4n and

4n + 3 = 19 ( subtract 3 from both sides )

4n = 16 ( divide both sides by 4 )

n = 4

then the number n is 4

4. A conveyor belt moves at a constant rate
of 12 feet in 3 seconds. A second conveyor
belt moves 16 feet in 4 seconds. guys help !!!!

Answers

Solution :

Yes, the conveyors are in a proportional relationship.

Given,

A conveyor belt moves at a constant rate of 12 feet in 3 seconds.

A second conveyor belt moves 16 feet in 4 seconds.

There is a proportional relationship if the ratios of each pair of values are the same.

- First conveyor belt

12 feet in 3 seconds.

Ratio = 12 / 3 = 4

- Second conveyor belt

16 feet in 4 seconds.

Ratio = 16 / 4 = 4

Ratios are the same.

4 = 4

Thus the conveyors are in a proportional relationship.

More about the proportional relationship here:

brainly.com/question/11391605

#SPJ9

Evaluate each logarithm. log₃ 1/27

Answers

In mathematics, the logarithm is the reciprocal of a power. This means that the logarithm of a given number x is the exponent by which another fixed number (the base b) must be increased to get that number x. The simplest logarithm counts the number of times the same element occurs when multiplying repeatedly. The logarithm of x to base b is denoted by log b (x), or log b x without parentheses. Also, if confusion is impossible or the base doesn't matter, log x shows that even without an explicit base: B. In big O notation.

Solution:

Your problem → log (3,1/27)

log (3, (127)) =-3

Solution steps:

=log (3,127)

=log (3,0.037037)

=log3(0.037037)

=-3

More similar problems are solved in the given link below.

https://brainly.com/question/28596588?referrer=searchResults

#SPJ4

sustitucion de 18-3x=9 ​

Answers

Answer: x=+9

Step-by-step explanation:

18=3x-9    18-(3x-9)=0    3x+9+18=0    -3x+27=0

-3x=-27

x=-27/-3

x=+9

Hope this helps! :) Have a great day!  ^-^

Answer:

x=3

Step-by-step explanation:

18-3x=9

-18    -18      Subtract 18 from both sides of the equation to leave 3x by itself.

3x=9

/     /

3    3           Divide both sides by 3 to isolate x.

x=3   Final answer.


Write a flow proof.
Given: ΔQ R S /RT is isosceles with QR ≅ SR.
RT bisects QS at point T .
Prove: QRT ≅ ΔS R T

Answers

We came to the conclusion that ΔQRT ≅ ΔSRT is under the side-side-side (SSS) condition.

What accurately does "triangle congruency" mean?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are repositioned.Two triangles are congruent if they satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).

So,

Given: ΔQRS/SRT is isosceles with QR ≅ SR; RT bisects QS at point T.

To prove: ΔQRT ≅ ΔSRT

QR = SR = GivenQT = QS = Given: (RT bisects QS at point T)RT = RT = Common base

So, we can say that ΔQRT ≅ ΔSRT under SSS condition.

Therefore, ΔQRT ≅ ΔSRT is congruent under SSS condition.

Know more about the congruency of a triangle here:

brainly.com/question/2938476

#SPJ4

Multiple the question bellow

Answers

Answer:

1

Step-by-step explanation:

We have to convert the whole number into an improper fraction :

4  = 4/1

Now we multiply the numerators together and the denominators together :

4 × 1 = 4

1 × 4 = 4

Our new fraction is 4/4 = 1

Hope this helped and have a good day


The radius, diameter, or circumference of a circle is given. Find the missing measure to the nearest hundredth.
r = 11 2/5ft, d=?, C =?

Answers

A circle is a curve sketched out by a point moving in a plane. The radius, diameter, and circumference of the circle are 11.4 ft, 22.8 ft, and 71.6283 ft, respectively.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Given that radius of the circle is 11 2/5 ft. Therefore, the radius of the circle in a simplified way can be written as,

The radius of the circle = 11 2/5 ft

                                       = (11×5 + 2)/5 ft

                                       = (55 + 2)/5 ft

                                       = 57/5 ft

Now, the diameter and the circumference of the circle can be written as,

Diameter of circle = 2 × (Radius of the circle)

                              = 2 × 57/5 ft

                              = 114/5 ft

Circumference of circle = 2 × π × (Radius of the circle)

                                        = 2 × π × 57/5 ft

                                        = (114/5)π ft

Hence, the radius, diameter, and circumference of the circle are 57/5 ft, 114/5 ft, and (114/5)π ft, respectively.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ4

deas from earlier grades
5.
On a recent test, Mark got 6 questions out of 40
wrong. Which answer best describes the percent of
questions he got correct?
a. Less than 50%
b. More than 50%
c. Less than 25%
d. More than 75%
Explain or support your choice:

Answers

Answer:

D (he got 85% right which is more than 75%)

Step-by-step explanation:

because if you half 6/40 you get 3/20, now if you x by 5 you get 100 so do the same to the top (3x5 = 15)

Now you know that he got 15/100 = 15% wrong

so if you do 100 - 15 you get 85, so he got 85% right

85% is greater than 75% so therefore it is option D

hope this helps :)

5b = .1

solve the equation

Answers

b = 0.02

divide both side by 5    

Answer:

I think that B equals 0.02

If w = 22, what is the value of 4w − 12?

Answers

Answer: 76

Step-by-step explanation:

4 * 22 = 88

88-12 = 76


What is the value of 4x² + 2x - 1 when x = 3/4 ? Express the answer as a decimal.

Answers

The answer is an decimal form is 2.75

In the given Statement is:

What is the value of 4x² + 2x - 1 when x = 3/4 ?

Express the answer as a decimal.

Let's Come to the solution:

4x² + 2x - 1 __(1)

Now put the value of x = 3/4 in above equation:

4 (3/4)² + 2 (3/4) - 1

Solve the equation, and get the answer

4 x (9/16) + 3/2 - 1

9/4 + 3/2 - 1

Taking the L.C.M

= [tex]\frac{9+6-4}{4}[/tex]

= 11/4

= 2.75 is the answer

Hence, The answer is an decimal form is 2.75

Learn more about Decimal Form at:

https://brainly.com/question/22116939

#SPJ4


Find the volume of the candle in Exercise 4 . Round to the nearest tenth if necessary.

Answers

The volume of the candle is 36.9 cubic inches.

Given that the candle is in a circular pillar shape. That is it is in cylindrical shape.

Height of the candle, h = 6 inches

Width of the candle = Diameter of the base circle = 2.8 inches

Radius of the circle, r = 2.8/2 = 1.4 inches

We need to calculate the volume of the cylindrical candle.

Volume of a cylinder = Area of the base circle x height of the cylinder

Therefore, volume of the candle, V = [tex]\pi r^2 h[/tex]

                                                           = 3.14 x 1.4 x 1.4 x 6

                                                           = 36.9264

                                                           = 36.9 cubic inches

The question is incomplete. Find the complete question below:

A circular pillar candle is 2.8 inches wide and 6 inches tall. Find the volume of the candle. Round to the nearest tenth if necessary.

Learn more about volume of cylinder at https://brainly.com/question/9554871

#SPJ4


Solve each equation for y .
(3/4)y=15 x

Answers

After solving the equation, y = 20x is the value of y in (3/4)y=15 x

⇒ (3/4)y=15 x

⇒ y = 15x/(3/4)

y = 20x

How to solve an equation?

To solve Linear equations, utilize the steps that are provided below.

Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

Learn more about  linear equations

brainly.com/question/14323743

#SPJ4


Suppose f(x)=2 x-5 and g(x)=|-3 x-1| Find the value. g(2)-f(0)

Answers

Suppose f(x)=2 x-5 and g(x)=|-3 x-1| Find the value. g(2)-f(0)

g(2)- f(0) = 12

Given:

f(x)=2 x- 5

g(x)=|-3 x-1|

To find g(2), substitute x=2 in g(x).

g(x)=|-3 x-1|

g(2)=|-3 (2)-1|

     =|-6-1|

     =|-7|

g(2) = 7

To find f(0), substitute x=0 in f(x).

f(x)=2 x- 5

f(0)=2(0)- 5

f(0) = -5

Now,  g(2)-f(0)  =7-(-5)

                        =7+5

                        =12

To learn more about functions, refer:

https://brainly.com/question/24166496

#SPJ4

2. Amirah, Huixian and Priya make a total of 1530 toys in the ratio 12: 16:17.
(ii) the amount of money Priya earns if she is paid $1.65 for each toy.

Answers

Answer:

$953.70

Step-by-step explanation:

sum the parts of the ratio, 12 + 16 + 17 = 45 parts

divide the total number of toys by 45 to find the value of one part of the ratio.

1530 ÷ 45 = 34 , then

Priya makes 17 × 34 = 578 toys

she is paid $1.65 per toy, so is paid

578 × $1.65 = $953.70

Other Questions
What language device is this sentence "His feet silent on the carpeting"Is it Adjective/ adverb/ verbs. Please answer quickly but only if you are sure If h(x)=|1-7x|, find each value 23-h(9) The text uses the metaphor of a house to explain the relationship between metaethics, normative ethics, and applied ethics. Which part of the house represents normative ethics? Determine whether the quadrilateral can always, sometimes, or never be inscribed in a circle. Explain your reasoning.square john bought a bottled pickle with a metallic lid. However, he was not able to open it suggest a way with scientific reason to help her open the lid. $2500.00 invested in stock market. Four months later the value dropped to $22.48. Find average monthly change in the value Place these words in the correct order based onthe most gravity to the least gravity.UniverseMoonPlanetGalaxyStar A person who loves performing, painting or drawing: _r_a____adjective A patient presenting with fever, hypotension, and lactic acidosis is most likely to be experiencing what type of shock? Given f(x)= 3(2x), what is the value of f(4)? Government contractors, under certain conditions must award subcontracts to ________________ bidders What percentage of silent films do scholars estimate no longer exist due to neglect or damage? Where did the dominoes originate before spreading throughout the Spanish-speaking world? Miami Mexico and Cuba the USA Spain The measures of two vertical angles are 5y + 10 and 2y + 16. Find the measure of both angles. Which of the following is the most energy dense?broccoli1% milkappledonut 2023 ahip final exam review A student classifies chromium as ductile but not carbon. What explains the classification?(a) Chromium can be drawn into thin wires, but carbon cannot.(b) Chromium can be made into thin sheets, but carbon cannot.(c) Chromium can be beaten to make sound, but carbon cannot.(d) Chromium can be plated over other metals, but carbon cannot. State the property that justifies each statement.If x/2=7 , then x=14 . Turn each fragment into complete sentence.1. the new idea created a buzz of excitement.2.for example, the public's interest in reality television.3. Does that tree ever grow pinecones?