21. Given that f(x)= x^3– x² + 5x and g(x)= x^3 +5x^2 –2 determine
(g-f)(x)

Answers

Answer 1

Answer:

(g - f)(x) = 6x² - 5x - 2

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = x³ - x² + 5x

g(x) = x³ + 5x² - 2

(g - f)(x) is g(x) - f(x)

Step 2: Evaluate

Substitute:                    (g - f)(x) = x³ + 5x² - 2 - (x³ - x² + 5x)Distribute -1:                 (g - f)(x) = x³ + 5x² - 2 - x³ + x² - 5xCombine like terms:    (g - f)(x) = 6x² - 5x - 2

Related Questions

SOLVE ASAP:
mass of 42.5 and a volume of 5.4 cm3 what is its density

Answers

I think it is..................

Answer:

7,870,370

give me brainliest

Which of the following statements about air masses is true?
A.
Air masses maintain the same moisture and temperature as they move over new areas.
B.
Air masses are areas of condensed water vapor, which are also known as clouds.
C.
Air masses are responsible for creating holes in the ozone layer.
D.
Air masses are created by patterns of heating and cooling of the Earth's surface.

Answers

Air masses are created by patterns of heating and cooling of the Earth's surface. Therefore, option D is the correct answer.

Air masses are large bodies of air that move over the Earth's surface. They are created when large amounts of air are heated and cooled in different areas of the Earth. As the air masses move, they maintain the same moisture, temperature, and other characteristics they had when they originated. Air masses are responsible for many of the weather patterns we experience on Earth.

Therefore, option D is the correct answer.

Learn more about the air masses here:

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The graph of y=2x^2 is shifted 8 units down on a coordinate grid.
What are the roots of the equation that correspond to the new graph?

A. x=-2 and =2
B. x=-2 and x=4
C. x=-4 and x=2
D. x=-4 and x=4​

Answers

Answer

x = 2 or x = -2

Option A

Step-by-step explanation:

By shifting it down(we are going 8 units below the origin on the y-axis), we have the equation as;

y = 2x^2 - 8

To find the root, we equate zero

0 = 2x^2 - 8

2x^2 = 8

x^2 = 8/2

x^2 = 4

x = square root of 4

x = +2 or -2

Answer: is A x=y=-2 and x=2

Step-by-step explanation:

Hi. Please i need help with this . No jokes . I need help with (vii) and (ix)​

Answers

9514 1404 393

Answer:

  (vii)  25/4

  (ix)  -61/6

Step-by-step explanation:

(vii) Once again, we remind you that for ax²+bx+c=0, ...

  α+β = -b/a = -(-7/2) = 7/2 = 3.5

  αβ = c/a = -3/2 = -1.5

Then the desired expression is ...

  α/(β+1) +β/(α+1) = (α² +α +β² +β)/((α+1)(β+1))

  = ((α+β)² -2αβ +(α+β))/(αβ +(α+β) +1)

  = (3.5² -2(-1.5) +3.5)/(-1.5 +3.5 +1) = 18.75/3 = 6.25 = 25/4

__

(ix) α/β +β/α = (α²+β²)/(αβ)

  = ((α+β)² -2αβ)/(αβ) = (3.5² -2(-1.5))/-1.5 = 15.25/-1.5 = -61/6

The scale on a map is 1 cm equals 10 miles. Find the length on the map of 300 miles, 150 miles, 60 miles, and 170 miles. List your answers in numerical order.

Answers

Answer:

30 cm = 300 miles

15 cm = 150 miles

6 cm = 60 miles

17 cm = 170 miles

The length of maps of 300miles, 150 miles,170mile and  60 miles are 30cm ,15cm, 17cm and 6cm respectively.

What is unit conversion?

A method of converting from one unit to another.

According to the given question we have

1cm = 10miles

⇒ 1mile = [tex]\frac{1}{10} cm[/tex] = 0.1cm

Therefore, the length on map of

300 miles = 300 × 0.1 = 30cm150 miles = 150 × 0.1 = 15cm170 miles = 170 × 0.1 = 17cm 60 miles  = 60 × 0.1 = 6cm

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A store sells 4 T-shirts for $38.64. What is the unit cost per T-shirt?

Answers

the cost per shirt is $9.66 because you divide 38.64 by 4.

Answer:

9.66

Step-by-step explanation:

38.64/4

9.66

An acid is prepared by mixing 400 mL of water and 100 mL of pure sulfuric acid. What is the
percentage by volume composition of sulfuric acid?
A. 15 %
B. 20%
C.25%
D.30%​

Answers

C. 25
——-
Divide 400/100=4
——-
Than divide 4/100
—-

A 5-foot piece of string costs $4.20. What is the price per inch?

Answers

Answer:

$0.035

Step-by-step explanation:

Answer: 0.84 cents per inch

Step-by-step explanation: Just do division to get your answer:)

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?

StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 millimeters Over 10 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 centimeter Over 10 millimeters EndFraction times StartFraction 365 days Over 1 year EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 365 days Over 1 year EndFraction

Answers

Answer:

Step-by-step explanation:

the answers below are hard to read

we have 4 cm/year  and the realtor wants to convert in mm/day

4 cm=40 mm  this is our first step

1 year=365 days

we will have 40mm/365days

or 4cm/1 year x 10 mm/365 days

Given the equation y = 2x + 4, what would the value of y be when x = 1?
5
7
1
6

Answers

Answer:

6

Step-by-step explanation:

y=2x+4

y=2(1)+4

y=2+4

y=6

Which phrase best describes the translation from the graph y = 2x^2 to the graph of y= 2x^2 + 5?
O5 units up
O5 units down
O 5units right
O5 units left

Answers

Answer:

05 units up and down

Step-by-step explanation:

hope this hepled luv!

The phrase that best describes the translation from the graph y = 2x^2 to the graph of y = 2x^2 + 5 is "5 units up".

What is transformation on the graphs?

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

Adding a constant term to a function vertically shifts its graph up or down, depending on the sign of the constant.

In this case, the constant term is positive (+5), which means that the graph of y = 2x² + 5 is shifted upward by 5 units compared to the graph of y = 2x².

Therefore, the correct phrase is "5 units up".

To learn more about the transformation on the graphs;

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Name the property that proves these triangles are congruent

Answers

Answer:

triangle

Step-by-step explanation:

Jessica made $95 for 5 hours of work.
At the same rate, how much would she make for 13 hours of work?

Answers

Answer:

$247

Step-by-step explanation:

95/5= 19 to find rate per unit which means,

Jessica makes $19 dollars a hour.

19 x 13= $247

So Jessica made $247 in 13 hours of work.

Answer:

she would make $247

Step-by-step explanation:

5<-2t-3 Need steps and the answer

Answers

Answer:

t<−4

Step-by-step explanation:

switch sides

-2t-3>5

then add three to both sides:

-2t-3+3>5+3

simplify:

-2t>8

then multiply both sides -1 (reverse the inequality)

(-2t)(-1) <8 (-1\)

simplify:

2t<-8

Divide both sides by 2:

2t/2 <-8/2

Answer:&&&&&&

SOrry dont know buddy

Step-by-step explanation:

Pleaseeeee helpppp !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Square root of 56 so in simplest radical form 4 root 4

Step-by-step explanation:

square root of 56
hope this helped!

Help ASAP anyone :)!!!??!

Answers

Answer:j

Step-by-step explanation:

D represents the graph. I choose this answer because we know the y means the b in the formula of y=mx+b. b=2 and the m or slope equal 4/3 because it is rising 4 spaces and run 3. Used the formula rise/run.
I hope this helps :)

will make you BRAINLIEST please help me please​

Answers

Answer:

You have to substitute the x-values into the function :

[tex]f(x) = {11}^{x} [/tex]

[tex]f( - 2) = {11}^{ - 2} = \frac{1}{121} [/tex]

[tex]f( - 1) = {11}^{ - 1} = \frac{1}{11} [/tex]

[tex]f(0) = {11}^{0} = 1[/tex]

[tex]f(1) = {11}^{1} = 11[/tex]

[tex]f(2) = {11}^{2} = 121[/tex]

A bee flies at 6 feet Per second directly to a flower bed from its hive. The bee stays at the flower bed for 19 minutes, and then flies directly back to the hive at 4 ft per second. Is away from the high for a total of 24 minutes. What equation can used to find the distance of the flower bed from the hive? How far is the flower bed from the hive?

Answers

Answer:

720 feet

Step-by-step explanation:

We can Find the travelling time. We know that the bee spends 19 minutes hunting down the nectar in the flowerbed. But was away from the hive for a total of 24 minutes, then the travelling time becomes(24min - 19min) = 5 min

Then let us Convert to seconds vfir consistency

1 minute = 60 seconds

5 minutes = (5×60 )= 300 seconds.

Then the travelling time becomes 300 seconds

We can Find the time each way, since we know that the total time is 300 seconds, though not evenly divided

Let us denote the time there = t

the time back = (300 - t)

But the distances are the same.

r = 6 m/s and r1 = 4 m/s

t1 = t and t2 = (300 - t)

Let dthere = dback

Where, d =( rate × time)

(6× t )= 4 (300 - t)

6t= 1200 - 4t

10t=1200

t=120 seconds

To Find the distance?

d =( rate × time)

d = ? r = 6 m/s and t = 120 second

d = r*t

d = 6 × 120

= 720 feet

Hence, instance of the flower bed from the hive is 720 feet while the equation is ( d = r*t)

Veronica is buying a new pair of Hollister jeans for $50.00. They are on sale for 25% off.
a. What is the sale price of the jeans?

Answers

Answer:

$37.5

Step-by-step explanation:

25% = 1/4

50/4 = 12.5

50 - 12.5 = 37.5

hope this helped (:

Answer:

37.5

Step-by-step explanation:

Convert the 25% to a decimal (0.25) and multiply by 50

Which is 12.5

Subtract 50 by 12.5

Answer is $37.5

You could also multiply 50 * .75

What is the value of k?
k=
m
Done
Intro
DOOODDOOO

Answers

9514 1404 393

Answer:

  k = 2

Step-by-step explanation:

All of the triangles are similar, so the ratio of short side to long side is the same for all.

  4/8 = k/4

  k = 16/8 = 2 . . . . multiply by 4 and simplify

The value of k is 2.

_____

Additional comment

By similar reasoning or by the Pythagorean theorem, ...

  l = √20 = 2√5

  m = √80 = 4√5

Write 12 1/ 3 as an improper fraction.

Answers

Answer:

37/3

Step-by-step explanation:

we start with 12 1/3 multiply the whole number-12 with the denominator-3 that make 36 add the numerator-1 this makes 37, this is your new numerator

CAN SOMEONE PLEASE HELP ME WITH THIS please please help me with this please please

Answers

Answer:

Congruent

3x= 360 I believe if this is the outside of the triangle?

x= 120

Step-by-step explanation:

brainliest

Answer:

1. Congruent

2. 3x= 360

3. x= 120

Step-by-step explanation:

Sovle for x !!!!!!!!

Answers

Answer: A -11

Step-by-step explanation: trust me

In the triangle below, what is the length of the hypotenuse?

A. 3√3
B. 6
C. 3√2
D. √3

Answers

Answer:

B. 6

Step-by-step explanation:

I'd like to begin by apologizing for the late reply.

PROCESS:

1) Begin by analyzing the triangle

2) Notice how you can take the sin of 30 to find the hypotenuse

3) sin30= 3/x

4) If you don't see how I did that, a fun trig word play for functions, is

S O/H

C A/H

T O/A

where

S= Sine

C= Cosine

T= Tangent

O= Opposite

H= Hypotenuse

A= Adjacent

so side opposite of 30 is side 3, and the hypotenuse is x.

5) sin30= 3/x = 6

6) Your answer, hypotenuse is 6

BONUS: If you want to find the base length, use Pythagorean theorem.

c=√a2+b2

b=√c2-a2= √6^2 - 3^2= 5.19 or 5.2

In a recent survey of 247 nurses, 162 were unhappy with their jobs due to the difficult working hours and work-related stresses. Find the percent unhappy with their jobs.

Answers

Answer:

162 is 65.587044534413% of 247

rounded its 66%

Step-by-step explanation:

Answer:

162/247×100=67%

Step-by-step explanation:

You are selling items at the football game to raise money for the school's athletic teams. You
sell pizza for $5 per slice and drinks for $3 per cup. Your sales totaled $1020. If you sold 84
slices of pizza, how many drinks did you sell?
Need help asapp

Answers

Answer:

200 cups of drinks sold

Answer:

200 cups

Step-by-step explanation:


The length of a rectangle is 2 cm greater than its width. The area of the rectangle is 80 cm?. Find the width of the rectangle
A.
2 V10 cm
B
8 cm
С
10 cm
D
19 cm

Answers

Answer:

B. 8cm

lololol

4.) A recipe uses 1.75 cups of flour to make 24 cookies. How many cups of flour are needed to make 72 cookies? *

Answers

Answer:

5.47 cups of flour

Step-by-step explanation:

Soo like could u help me someone give me the answer but they for to explain or show the reasoning so plz help

Answers

SA formula= 2(wl+hl+hw)

= 2(4*10+4*10+4*4)

=192 cm^2

last year raina biked 421 miles this year she biked k miles using k write an expression for the total number of miles she biked​

Answers

Answer:

i dont know sadly im trying to figure his out too..

Step-by-step explanation: hi

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