h(x) = x^2 + 2 - x
g(x) = 4x + 5
find (h - g) (x/3)

H(x) = X^2 + 2 - X G(x) = 4x + 5 Find (h - G) (x/3)

Answers

Answer 1

Answer:

 x^2 - 15x - 27

----------------------  (Answer C)

             9

Step-by-step explanation:

(h - g)(x) is the difference between funcions h and g.  Subtract g(x) from h(x) as follows:

 x^2 + 2 - x

-(4x + 5)

-------------------

x^2 - 5x - 3  =  (h - g)(x)

To find (h - g)(x/3), substitute x/3 for x in x^2 - 5x - 3  =  (h - g)(x), obtaining:

(x/3)^2 - 5(x/3) - 3

We must expand this and then combine like terms:

x^2/9 - (5/3)x - 3

The LCD of these three terms is 9.  The first term stays as is.  The second term becomes (15/9)x.  The third term becomes 27/9.

Combining these three terms, all with denominator 9, we get:

 x^2 - 15x - 27

----------------------

             9

This matches Answer C.


Related Questions

Help meeeeeeeeeeeeeee

Answers

Answer:

C find ur x value by solving the simultaneous equations

Answer:

-2

Step-by-step explanation:

6x+4y=-14. X=-2y+7

—————

3

∠1 and ∠2 are complementary angles. If ∠1 measures 35º, what is the measure of ∠2?​

Answers

Answer:

55 degrees

Step-by-step explanation:

Complementary angles are two angles that equal 90 degrees together so if one angle is 35 degrees then the other must be able to add towards that to make 90 degrees

90=35+∠2

-35     -35

55=∠2

the screen shot is the question lz help me

Answers

Answer:

$123.75

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

I added all the things she bought and subtracted it by the total and got B. 123.75

Find the exact value of tan A in simplest radical form. Please show work will give brainliest.

Answers

Answer:

A = 12.68 degrees

I don't know how to say this in simplest radical form

Step-by-step explanation:

tan A = 9/40 = 0.225

A = 12.68 degrees

What is the answer for this eqation? 20-3x=9-7x

Answers

Answer:

x = - 11/4

Step-by-step explanation:

20- 3x = 9 - 7x

Add 7x to both sides

20 - 3x + 7x  =  9 - 7x + 7x

20 + 4x = 9    

Now,Subtract 20 from both sides

20 -20 + 4x = 9 - 20

             4x = -11        {Divide both sides b 4}

               x = -11/4

Answer:

= -11/4

Step-by-step explanation:

Rearrange terms

−3+20=9−7

− 3 + 20 = − 7 + 9

Subtract  20  from both sides of the equation

− 3 + 20 = − 7 + 9

− 3 + 20 − 20 = − 7 + 9 − 20

Simplify / Subtract the numbers

− 3 = − 7 − 1 1

Add  7 7x 7x  to both sides of the equation

− 3 = − 7 − 1 1

− 3 + 7 = − 7 − 1 1 + 7

Simplify / Combine like terms

4 = − 1 1

Divide both sides of the equation by the same term

4 = −11

4/4 = -11/4

Simplify / Cancel terms that are in both the numerator and denominator

= -11/4

4)(_____________) = −12

Answers

Answer:

-3 ..... .................

Answer:

There are several ways to get -12:

-11 - 1

-4 • 3

-2 • 6

1 • -12

-24/2

-5 - 7

-12 + 0

-12 • 1

-4 + -8

4 - 16

-9 - 3

And so on.

pls help me 10 points

Answers

Figure 2 and 3 are non linear
Figure 1 and 4 are linear

Quadrilateral ABCD is reflected across the x-axis. What are the coordinates of quadrilateral A´B´C´D

Answers

Answer:

D

Step-by-step explanation:

the answer is d because the quadrilateral is in quadrant 3 which is (-,-)

Answer:

D

Step-by-step explanation:

I NEED HELP ON THIS PLEASE

Answers

Answer:

at 12 hours, it's 9 inches.

at 14 hours, it's 14 inches.

at 13 hours it's 16 inches.

I'm not sure if you needed how many inches it snowed an hour, or if you just needed the hours and inches. My apologies.

Question 8 (4 points)
What is the area of the figure?
10 in
19 in
11 in.
17 in.
A. 223 in 2
B. 277 in 2
C. 267 in 2
D. 110 in 2

Answers

The area of the figure is A. 223 in 2 I did that question yesterday hahah what grade are you in?

I need help with these three equations
3x - 2 = x + 10
X+4=19-2x
8z - 20 =z +15

Answers

Answer:

1st answer is 6, 2nd is 5, 3rd is 5

Step-by-step explanation:

3x-2=x+10

3x-x=10+2

2x=12

x=12÷2

x=6

x+4=19-2x

x+2x=19-4

3x=15

x=15÷3

x=5

8z-20=z+15

8z-z=15+20

7z=35

z=35÷7

z=5

plzz mark me as brainliest

Answer:

3x-2=x+10

x=6

x+4=19-2x

x=5

8z-20=z+15

z=5

Step-by-step explanation:

3x-2=x+10

+2 on both sides

3x-2(+2)=x+10(+2)  =>  3x=x+12

subtract x on both sides

3x(-x)=x(-x)+12   =>  2x=12

divide 2 on both sides

2x/2=12/2

= x=6

x+4=19-2x

subtract 4 on both sides

x+4(-4)=19(-4)-2x    =>    x=15-2x

add 2x on both sides    

x(+2x)=15-2x(+2x)     =>    3x=15

divide 3 on both sides

3x/3=15/3

= x=5

8z-20=z+15

subtract z on both sides

8z(-z)-20=z(-z)+15    =>  7z-20=15

add 20 on both sides

7z-20(+20)=15(+20)

7z=35

divide 7 on both sides

7z/7=35/7

= z=5

- Drake and troy are building models. For every 10 pieces
Drake puts together, Troy puts together 6 pieces. If Troy
puts together 18 pieces, how many pieces does Drake
put together?

Answers

Answer:

30

Step-by-step explanation:

Looking at the question we will notice that every 6 that Troy puts together Drake makes 10 so its simple, Troy makes 18 so we divide that by 6 meaning we get 3. We then get 3 and multiply it by 10, Thus 30 shall be our answer.

Given the pattern: 8,4,0,-4 find the 17th term

Answers

Answer:

-56

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

8,4,0,-4,-8,-12,-16,-20,-24,-28,-32,-

or 4*17=68

68-12=56

Solve the system of equations by using substitution.
EASY MATH

Answers

Answer: X=-1, Y=1

Step-by-step explanation:

The answer to this problem is:

X= -1  Y=1

What value is equivalent to (5-3•2^3) + 9-4^2? PLS HURRYYY

Answers

Answer:

-26 is your answer

Step-by-step explanation: 2³ first which = 8 then solve in the parenthesis and all inside parenthesis = -19 so now you have -19+9-4². Now, solve 4² which = 16 so now you have -19+9-16 then solve that and it should give you -26.

Hope this helped you!!!!

Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place​

Answers

We have a parallelogram and a half of circle.

The area of parallelogram are: A=basis*heightThe area of circle are: A=πr², where r is the radius (half of diameter).  Thus the half circle have Area equals to:

[tex]A=\frac{\pi r^{2} }{2}[/tex]

Approaching π to 3,14

parallelogram:

b=26

h=13

A=13*26

A=338

Half circle:

r=12

A=(3,14*12²)/2

A=226,08

Total Area of the figure are:A=338+226,08A=564,08

Simplify the expression 3X +7+ 4X +6 by combining like terms

Answers

Answer:

7x + 13

Step-by-step explanation:

I know m math

7x+13 is the solution
3x+4x=7x
7+6=13

if 1/4x +2y= 11/4
and - 6y - x = 7, what is
half of y?

Answers

Answer:

y/2 = 4.5

Step-by-step explanation:

1/4x + 2y = 11/4

distribute by 4 to eliminate fractions

  x + 8y = 11

+ -x - 6y = 7

        2y = 18

          y = 9

half of 9 = 4 1/2

pat is knitting a scarf on average she can knit 2cm in 35minutes
express this as a rate in min/cm​

Answers

Answer:

Step-by-step explanation:

2cm per 35 min

1 cm per 17.5 min

17.5 minutes per cm

What is an equation of the line that passes through the points
(6,1) and (7,2)? Put your answer in fully reduced form.

Answers

Answer (assuming it can be in slope-intercept form):

y = x - 5

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], and substitute the x and y values of the given points into it. Then, solve:

[tex]m = \frac{(2)-(1)}{(7)-(6)} \\m = \frac{2-1}{7-6} \\m = \frac{1}{1} \\m = 1[/tex]

2) Now that we know the slope and at least one point the line crosses through, we can write an equation of the line in point-slope form, or [tex]y-y_1 = m (x-x_1)[/tex]. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

Since [tex]m[/tex] represents the slope, substitute 1 for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, use any one of the given points (either one is fine, either way the equation will represent the same line) and substitute its x and y values into the equation. (I chose the point (6, 1), as seen below.) Finally, isolate y to put the equation in slope-intercept form.

[tex]y-1 = 1(x-6)\\y -1 = x-6\\y = x -5[/tex]

HELP PLEASE CAN SOMEONE SOLVE THE QUESTIONS IN THE SCREENSHOT PROVIDED THIS IS URGENT

Answers

Answer:

T = 0.7(220 – a)

Step-by-step explantion:

Hope it helped

Find the common solution.

x = - y + 10
x = y + 4

Type answer as an ordered pair.

Answers

Answer:

Step-by-step explanation:

x = -y + 10

Substitute into the second equation

-y + 10 = y + 4

-2y = -6

y = 3

Plug into first or second equation.

x = -3 + 10 = 7

x = 3 + 4 = 7

So the ordered pair is (7,3)

find lkm pls will give branlist

Answers

Answer:

[tex]3x - 70 = 50 + x \\ 2x = 120 \\ x = 60[/tex]

so ..

X=60

and

3x-70=180-60=110

Step-by-step explanation:

According to the theorem of exterior Angle,Measure of Exterior angle=Sum of two OPPOSITE interior angles

Answer:

angle LKM = 110 degrees

Step-by-step explanation:

angle JKL = 180 - (3x-70) because they are supplementary angles

angle JKL + x + 50 = 180 degrees because the sum of all the interior angles of a triangle equals 180 degrees

substituting for angle JKL:

180 - (3x - 70) + x + 50 = 180

180 - 3x +70 + x + 50 = 180

simplify:

-2x = -120

x = 60 degrees

angle LKM = 3(60)-70 = 110 degrees

Area of shape please help

Answers

Answer:

105cm

Step-by-step explanation:

Answer:

105cm^2

Step-by-step explanation:

Divide shape into a rectangle and a triangle.

Area of rectangle=6*15=90

Height of triangle=11-6=5

Base of triangle=15-9=6

Area of triangle=5*6/2=15

Total area=90+15=105cm^2

What two numbers multiple to the value on the top and add to the value on bottom

Answers

9 x -1 = -9
9 + -1 = 8

Hope this helped :^)

HELP WILL MARK YOU BRAINLIEST

Answers

Answer:

30

Step-by-step explanation:

millicent earned $435 last year in interest. If $3000 was invested at a certain rate of return and $4500 was invested in a fund with a rate that was %2 lower, find the 2 rates of interest

Answers

Answer:

7% and 5%

Step-by-step explanation:

The computation of the two rates of interest is shown below;

The interest  rate for $3,000 be x%

And, for $4,500 the interest rate is (x -2%)

The total interest earned is

= x% of $4,500 + (x - 2)% of $4,500

So, the two rates of interest is

x% of $4,500 + (x - 2)% of $4,500 = $435

30x + 45(x - 2) = $435

30x + 45x - 90 = $43

75x = $25

x = 7%

x - 2 = 7 - 2

= 5%

shown is a regular pentagon, find y.

Answers

Answer:

54 degrees

Step-by-step explanation:

Every side of a regular pentagon is same.

So we have an  isosceles triangle. The  correspond angle of y, must equal to y (degree) too.

Also, every inner angle of a regular pentagon is 360/5=72. So we can calculate angle y, by the equation y+y+72=180.

y=54

plz help meh yall :(

Answers

Answer:

(10,-10)

Step-by-step explanation:

. Below are sinusoidal regressions created from the average monthly low temperatures in Iqaluit, Nunavut and Nairobi, Kenya. Compare the amplitudes of these functions – what do they mean in this context? Give one or two sentences that describe the implications of these two amplitude values. (2 marks)  Iqaluit: = 18.63 sin 0.50( + 170.45) − 13.34  Nairobi: = −1.50 sin 0.77( + 51.25) + 12.86
88 points!!!!

Answers

Answer:

ghufvhyggggyggmi jalisco oral iyer

Answer:

Step-by-step explanation:

Other Questions
NEED HELP FAST!!!Two of the people most often credited with the invention of the Internet and WWW respectively are _____.A.) Douglas Engelbart and Tim Berners-LeeB. )Vint Cerf and Tim Berners-LeeC.) Alan Emtage and J. Peter DeutschD.) Marc Andressen and James Clark [HELP!SPANISH] Completa las oraciones con el presente indicativo de los verbos en parntesis. A machine does 1200 J of work in 1 min. What is the power developedby the machine? (Power = Work/time) in Watts OR Joules/second Ozone is helpful in the upper atmosphere but harmful in the lower atmosphere where we can breathe it( True or false) In the third paragraph, the last sentence ("There is no .... gold") does which of the following?It qualifies a statement by narrowing its scope to a particular time period.BIt refutes a claim made in the previous sentence by suggesting that art is bound by the constraints of its era.c) It elaborates upon the idea of an artistic age by subdividing such eras based on the quality of art produced during them.DIt emphasizes a claim about artistic eras that has previously been explained.E) It counters claims about the motivation of artists by employing language that equates artistic achievement and material wealth. hmhoo.com/assem stessment HM Growth Measuresmco.comGrowth Measure Math | Welcome, HAILEE KNOTTCiSave & ExitLast week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka$152.55$172.50$180.00$183.7577051Sklo In three to five sentences, analyze the cause of the Holocaust by Nazi Germany and the effect on different ethnic groups help Michael canned 4,713 quarts of blueberries over the summer. By the end of the year he had used 1/3 of what he had canned. How many quarts of blueberries had he used? il 1) You have four-sixths yards of pipe. How many pieces can you cut the pipe into if each piece is one-ninth yard? find the area given rectangle.The length and and breadth of a rectangle are 3abc and 4abc units. The area of rectangle is __ sq.unit . In what ways did Hitler directly violate the Treaty of Versailles? Which of the following statements is true?A.The lower the number of living organisms in an area, the higher the rate of weathering will be.B.Raindrops and snowflakes are too light to cause erosion.C.Rocks rich in calcium, potassium, and sodium, weather into fertile soil.D.Wind erosion removes the least fertile part of soil. PLEASE HELP EMERGENCY!! IF YOU ARE NOT 100% SURE ABOUT YOUR ANSWER DO NOT ANSWER THEN!! PLEASE!!Question: The major reason the French and the British went to war in 1754 The French wanted the 13 colonies for themselvesBoth countries wanted control of FloridaThe British were putting expensive taxes on the FrenchBoth countries wanted control of the Ohio River Valley MATH SMARTIES HELP ME PLEASE AND SEE IF I"M CORRECT AND PLEASE BE HONEST AND IF I AM NOT CORRECT CAN YOU TELL ME THE CORRECT ANSWER PLEASE Guys I need ur help I might as well just ask ur smarties for help ahah n yup Ill be brainlisting;)1) What have been the wider effect on the community of nuclear accidents? (Chernobyl) Find the area of a rectangular field , if the length of the field is 80m and breadth is 45m What are the energy requirements for digital signals? Find the measure of FG. How does prokaryotic and eukaryotic cells allow biologists to classify living things? . In an airport, a system consisting of sensors, bar code readers and remote controls is MOST LIKELY used foraircraft boardingbaggage handlingborder control.passenger check-in.