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

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

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:

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

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:

Answer:

9.66

Step-by-step explanation:

38.64/4

9.66

Answer:

triangle

Step-by-step explanation:

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.

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Answer:

B. 8cm

lololol

Answer:

$0.035

Step-by-step explanation:

Answer: 0.84 cents per inch

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

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".

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".

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Answer:

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

Step-by-step explanation:

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

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:

Answer: A -11

Step-by-step explanation: trust me

Answer:

7,870,370

give me brainliest

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:

Answer:

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

Step-by-step explanation: hi

Answer:

6

Step-by-step explanation:

y=2x+4

y=2(1)+4

y=2+4

y=6

Answer:

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

Answer:j

Step-by-step explanation:

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

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]

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)

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.

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

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Answer:

200 cups of drinks sold

Answer:

200 cups

Step-by-step explanation:

Answer:

5.47 cups of flour

Step-by-step explanation:

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

Answer:

162 is 65.587044534413% of 247

rounded its 66%

Step-by-step explanation:

Answer:

162/247×100=67%

Step-by-step explanation: