Simplify the following rational expression.
(HELP PLS?)

Answer:

-3/4

Step-by-step explanation:

y2 - y1 divided by x2 - x1 so you would do 2 - (-1) divided by 1 - 5

simplified is

3 divided by -4 or just -3/4

Answer:

1

Step-by-step explanation:

Answer: 14

Step-by-step explanation:

VW corresponds to BA. VW is twice the length of BA, so VU must be twice the length of BC

Answer:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Step-by-step explanation:

We have:

f(x) = 4*x³ + x² + x - 8

We want to write this in:

f(x) = (x - k)*q(x) + r.

with k = -1

Then we want to write:

4*x³ + x² + x - 8 = (x - (-1))*q(x) + r

4*x³ + x² + x - 8 = (x + 1)*q(x) + r

Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.

then:

q(x) = a*x² + b*x + c

Then:

4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r

4*x³ + x² + x - 8 = a*x³ + b*x² + c*x   + a*x² + b*x + c + r

if we take common factors in the right side we get:

4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)

Now, we must have:

4*x³ = a*x³

then:

4 = a

We also must have:

x² = (b + a)*x²

1 = (b + 4)

1 - 4 = b

-3 = b

We also must have:

x = (c + b)*x

1 = (c + (-3))

1 + 3 = c

4 = c

And finally:

- 8 =  (c + r)

-8 = 4 + r

-8 - 4 = r

-12 = r

Then:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Step-by-step explanation: 4d−9=5(2d−3)

im sorry sorry if im wrong pls forgive me :')

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Answer: I did a screen shot of the answer

Step-by-step explanation:

Answer:

m<2=60

Step-by-step explanation:

52+68=120+60=180

Answer:

V = 267.95

Step-by-step explanation:

Volume of a Sphere:

V = 4/3πr³

r = d/2

r = 4

Work:

V = 4/3πr³

V = 4/3(3.14)(4³)

V = 4/3(3.14)(64)

V = 267.95

Answer:

268.1 cm^3

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)(pi)(r)^3.

If the diameter of this sphere is 8 cm, then the radius is 4 cm, and r^3 = 64 cm^3.  Thus, the volume is:

V = (4/3)(3.14)(64 cm^3) = 268.1 cm^3

Answer:

[tex]y=C_1e^{-x}+C_2xe^{-x}+\frac{1}{5}e^{2x}.[/tex]

Step-by-step explanation:

all the details see in the attached picture.

9514 1404 393

Answer:

  38.5 square meters

Step-by-step explanation:

The relevant volume formula is ...

  V = Bh . . . . where B is the area of the base, and h is the height

Solving for B, we get ...

  B = V/h

  B = (308 m³)/(8 m) = 38.5 m²

The area of the prism's base is 38.5 square meters.

Answer:

80,000

Step-by-step explanation:

because you are just adding a extra zero

Answer:

2.4 hours or 2 hours, 24 minutes

Step-by-step explanation:

19.44 = 8.1h

h = 2.4

Step-by-step explanation:

shown in the photo I have provided

The graph of the given function f (x) = sin (πx/2) is attached below.

Function is a type of relation, or rule, that maps one input to specific single output.

If we plugged in x = 0, then we get

f (x) = sin (πx/2)

Therefore, this sine curve goes through the origin. The point is on the midline y = 0, the x axis.

We need either a minimum or maximum point. the expression f (x) is the same as . We will divide 2π over the coefficient of π/2 to get

The plot of the the maximum or minimum point closest to the first point is plotted in the graph.

Learn more about function here:

https://brainly.com/question/2253924

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Answer:

A

Step-by-step explanation:

Just took the test

The statement that asserts a true claim would be:

A). The height is approximately r units and the base length is approximately πr units.

The sector is described as an element of the circle or a part that extends to the center.

In the given figure, the height of the congruent sectors would be equivalent to r units as the radius is r units.

While the length of its base would be equivalent to πr units to denote the base length.

Thus, option A is the correct answer.

Learn more about "Height" here:

brainly.com/question/10726356

Answer:

c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.

Step-by-step explanation:

Pvalue is less than the alpha-level:

If the pvalue is less than the alpha-level, we have that there is sufficient evidence of the hypothesis for the population mean/median/standard deviation we are testing.

In this question:

Pvalue less than the alpha-level, so there is evidence that there is a difference in the population median. This means that the correct answer is given by option C.

The correct conclusion is: c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.

The given parameters are:

[tex]\mathbf{p = 0.04}[/tex] --- the p-value

[tex]\mathbf{\alpha = 0.05}[/tex] --- the significance value or the alpha level

From the options, we understand that the test parameter is the population median

By comparison, the p-value (0.04) is less than the alpha level (0.05)

When the p-value is less than the alpha-level, then it means that there is enough evidence of the hypothesis for the population parameter that is being tested.

Since the p-value is less than the alpha level, then it means that there is enough evidence to show the difference in the population median.

Hence, option (c) is correct

Read more about hypothesis testing at:

https://brainly.com/question/17347077

Answer:

120

Step-by-step explanation:

The whiskers you see on the sides, are known as the minimum(Left) and the maximum (right).  

9514 1404 393

Answer:

  1.  monthly: 0.25%; quarterly: 0.75%

  2.  monthly: ≈ 0.45833%; quarterly: 1.375%

Step-by-step explanation:

In each case, the base of the exponential term is the annual growth factor. The annual growth rate (interest rate) is ...

  growth rate = growth factor - 1

Then the monthly rate is ...

  monthly rate = growth rate/12

and the quarterly rate is ...

  quarterly rate = growth rate/4

__

1. monthly rate = (1.03 -1)/12 = 0.03/12 = 0.0025 = 0.25%

  quarterly rate = (1.03 -1)/4 = 0.03/4 = 0.0075 = 0.75%

__

2. monthly rate = (1.055 -1)/12 = 0.055/12 ≈ 0.0045833 = 0.45833%

  quarterly rate = (1.055 -1)/4 = 0.055/4 = 0.01375 = 1.375%

Answer:

Wonderfully put, bravo

Step-by-step explanation:

Answer:

(jotaro) "yare yare daze"

Step-by-step explanation:

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Answer:

5 children

Step-by-step explanation:

Solve

$7.31 x2 = $14.62

$46 - 14.62 =$32

5.66 divided by 5 = 28.3

5.66 divided by 6 = 33

$33 is bigger than $31

Therefore, the greatest number of children tickets can be purchased is only 5.

The answer for this question is:

7, 98

The minimum value of the function is 7 and the maximum value of the function will be 98.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = x³ + 34

The function is defined for the interval of [–3, 4].

The minimum value of the function at x = –3 will be

f(–3) = (–3)³ + 34

f(–3) = –27 + 34

f(–3) = 7

The maximum value of the function at x = 4 will be

f(4) = (4)³ + 34

f(4) = 64 + 34

f(4) = 98

Thus, the minimum value of the function is 7 and the maximum value of the function will be 98.

The graph is given below.

More about the function link is given below.

https://brainly.com/question/5245372

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Answer:

X= -3, Y= -1

Step-by-step explanation:

= {x, y}

= {-1.-3}

X = -1

Y = -3

Look at the picture :)

#LearnWithBrainly

Answer:

choice 1) 0, -4/5

Step-by-step explanation:

1/(t² + t) = 1/t - 5

multiply both sides of the equation by (t² + t):

1 = (t² + t)/t - 5t² - 5t

1 = t + 1 - 5t² -5t

-5t² - 4t = 0

t(-5t - 4) = 0

t = 0

-5t = 4

divide both sides by -5:

t = -4/5

Answer:

she gives 225

Step-by-step explanation:

750×30% equals to 225

Answer:

Stephanie gives $225 to charity a month

Step-by-step explanation:

$750 / 100 = 7.5

7.5 x 30 = 225

7.5 x 70 = 525

700 - 525 = 225

Answer:

I rhink the answer would be 273°

Step-by-step explanation:

57+180=237°

Answer:

∠ BAC = 28.5°

Step-by-step explanation:

∠ AOB = 180° - 57° = 123° ( straight angle )

OA and OB are congruent ( radii of the circle ) , then Δ AOB is isosceles with base angles congruent, that is

∠ BAC = ∠ ABO , then

∠ BAC = [tex]\frac{180-123}{2}[/tex] = [tex]\frac{57}{2}[/tex] = 28.5°

Answer: 4 7/6

Step-by-step explanation:

Answer:

36 flowers are left over

Step-by-step explanation:

54 is 60% of 90

90-54=36

Answer:

Standard deviation = 4

Step-by-step explanation:

Given the following data;

Mean = 25

Variance = 16

To find the standard deviation;

Mathematically, standard deviation is given by the formula;

[tex]Standard \; deviation = \sqrt{variance}[/tex]

Substituting into the formula, we have;

[tex]Standard \; deviation = \sqrt{16}[/tex]

Standard deviation = 4