simplify:- the following fraction
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Answer:

the third one

Step-by-step explanation:

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree.

the third one is the answer

The value of x in the expression 15 = 3(2x + 4) - 3 is 1.

A number, a variable, or a combination of numbers and variables and operation symbols is called expression.

According to the given question.

We have an expression

[tex]15 = 3(2x+ 4) -3[/tex]

Solve the above expression for x.

Step 1: open the parentheses

[tex]15 = 3(2x + 4) -3[/tex]

⇒ [tex]15 = 6x + 12 -3[/tex]

Step 2: simplify the above expression.

[tex]15 = 6x + 9[/tex]

Step 3: subtract 9 to the both the sides

[tex]15 - 9 = 6x + 9 -9[/tex]

⇒[tex]6 = 6x[/tex]

Step 4: Divide both the sides by 4

⇒ [tex]\frac{6}{6} =\frac{6x}{6}[/tex]

⇒ [tex]x = 1[/tex]

Hence, we proved that x = 1 for the above expression.

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Answer:

$342.23

Step-by-step explanation:

35/100 x $390 = $136.50

Price of couch after 35% discount

= $390 - $136.50

= $253.50

35/100 x $253.50 = $88.725

Price of couch after the 35% increase

= $253.50 + $88.725

= $342.225

= $342.23 (round off to nearest cents)

Answer:

x=5

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 = c^2

x^2+ ( 2x+2)^2 = (2x+3)^2

FOIL the squared terms

x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9

Combine like terms

5x^2+8x +4 = 4x^2 +12x +9

Subtract  4x^2 +12x +9 from each side

5x^2+8x +4  -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9

x^2 -4x -5 =0

Factor

(x-5) (x+1) = 0

Using the zero product property

x=5   x=-1

But x cannot be negative or we would have negative length

x=5

Answer:

C

Step-by-step explanation:

average, average, average

if there is one dot to the right that is far away and 3 dots to the left that are close to the like, estimated distance of the right dot would be 3 and the total distance sum of each dot to the left is 3, so the line would be between the 1 right dot and 3 left dots

Answer:

D

Step-by-step explanation:

D has three dots near to the line

Answer:

Step-by-step explanation:

The standard form equation for this type of problem is

[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of depreciation, and x is the number of years in question. Because the value of the car is going down, b can also be written as (1 - r) where r is the rate of depreciation. For us, then, the equation will look like this:

[tex]y=a(1-r)^x[/tex] and filling in:

[tex]y=21000(1-.14)^3[/tex] which in simplified form is

[tex]y=21000(.86)^3[/tex] which I'm assuming is how choice 4 should look.

Answer:

₹29,710

Step-by-step explanation:

We minus ₹ 85,789 from ₹ 1,15,499 to get ₹ 29,710

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} : [/tex]

[tex] \large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]

[tex] \large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}[/tex]

[tex] \large{ \tt{ ⇢{b}^{2} = 1225}}[/tex]

[tex] \large{ \tt{⇢ \: b = \sqrt{1225}}} [/tex]

[tex] \large{ \tt{⇢ \: b = 35 \: \text {units}}}[/tex]

[tex] \large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

B. 4

Step-by-step explanation:

the sum of two sides of a triangle should be longer than one other side

Answer:

-6.13406 and 61.13406

Step-by-step explanation:

x + y = 55

x × y = -375

y = 55 - x

x × (55 - x) = -375

55x -x² = -375

x² - 55x - 375 = 0

solution of a quadratic equation :

x = (-b ± sqrt(b² - 4ac))/(2a)

a=1

b=-55

c=-375

x = (55 ± sqrt(55² + 4×375))/2 = (55 ± sqrt(4525))/2 =

= (55 ± sqrt(25 × 181))/2 = (5×11 ± 5×sqrt(181))/2 =

= 5/2 × (11 ± sqrt(181)) =

= 61.13406... or -6.13406...

y = 55 - 5/2×(11 ± sqrt(181)) = 55/2 ± 5/2×sqrt(181) =

= -6.13406... or 61.13406...

Answer:

∠ DOC = 26°

Step-by-step explanation:

The secant- secant angle DOC is half the difference of the intercepted arcs, that is

∠ DOC = [tex]\frac{1}{2}[/tex] (AB - CD) = [tex]\frac{1}{2}[/tex] (82 - 30)° = 0.5 × 52° = 26°

Answer:

55 degrees

Step-by-step explanation:

First, we can use Thales' Theorem to determine that because AC is along the circle's diameter, angle B (the angle opposite to that side) is a right angle.

Next, we know that an inscribed angle with its vertex on the circle, formed by two intersecting chords (A in this case) is equal to 1/2 of its intercepted arc, so angle A = 70/2=35

We can then use the fact that a triangle adds up to 180 degrees here to get

35+90+C=180

C=55 degrees

Answer: 7 red marbles.

Step-by-step explanation:

Since we are given the information that there are only red marbles and blue marbles in the bag and that the probability of randomly choosing a red marble is 1 /9 while there are 63 marbles in total.

Then the number of red marbles will be:

= 1/9 × 63

= 7

There are 7 red marbles

The number if blue marbles will be:

= 63 - 7

= 56 blue marbles

Answer:

A

Step-by-step explanation:

Answer:

may be the answer is 1000.not sure.

Answer:

answer is c 1600

hope it helps

Answer:  To find the average rate of change, evaluate the function at the given points.

Evaluate the difference of the function at the given points.

Divide the difference of the function at the given points with the difference of the given points.

Step-by-step explanation:

The Average of rate is -1.

Everytime it goes up by one the y goes down by 1 so it would be -1.

The average rate of change of the function in the table given is: -1.

Average rate of change of a function = change in y / change in x = rise/run.

Given the table representing a function, and using two set of ordered pairs, (-2, 7) and (0, 5):

Average rate of change of the function = (7 - 5)/(-2 - 0)

Average rate of change of the function = 2/-2

Average rate of change of the function = -1.

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Answer:

The surface charge density is [tex]7.8\times10^{-8} C/m^2[/tex].

Step-by-step explanation:

separation, d = 85 mm

Work, W = 6 x 10^-3 J

charge , Q = 8µC

The potential difference is given by

W = q V

[tex]V=\frac{6\times 10^{-3}}{8\times 10^{-6}}=750 V[/tex]

Let the charge on he capacitor is q.

[tex]q = CV\\\\q = \frac{\varepsilon oA}{d}\times V\\\\\frac{q}{A} = \frac{8.85\times 10^{-12}\times750}{0.085} =7.8\times10^{-8} C/m^2[/tex]

Answer:

im not sure but pls gimme brainlyist bc im a dum dum

Step-by-step explanation:

Answer: X would be 84 degrees.

Step-by-step explanation: APB is a straight angle, which adds up to 180 degrees. TPQ is  90 degrees, and QPB is 32 degrees, so 180-90-32=58. APT is 58 degrees. APT and PTR are alternate interior angles, therefore they have the same angle measure. So PTR is also 58 degrees. A quadrilateral adds up to 360 degrees, so add up the three known angles in the quadrilateral, 58+90+128, which gives you 276 degrees. 360-276=84 degrees, therefore X would be 84 degrees.

Answer:

B yes, because it pases the vertical line test

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = [tex]\frac{\triangle \theta}{\triangle t}[/tex]

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = [tex]\frac{7\pi }{2}[/tex] radians and Δt = 24 seconds

Therefore, angular velocity = [tex]\frac{\frac{7\pi }{2} }{24}[/tex]

                                              = [tex]\frac{7\pi }{48}[/tex] radians per second

Option A is the answer.

Answer:

answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x² + 5x + 7 - (2x² + 3x + 6) ← distribute terms in parenthesis by - 1

= 3x² + 5x + 7 - 2x² - 3x - 6 ← collect like terms

= x² + 2x + 1 → A

Answer:

1. 60°

2. 60°

3. 30°

4. 30°

5. 30°

Step-by-step explanation:

to find angleXYZ suntract 180 from 60

angle ZWX=120°

Angle WXY=60°

The diagnals divide the inteesections in half

Answer:

P = -1

Step-by-step explanation:

-1 x 4 = -4

The solution is : p= -1, is the value of p in the equation y^2=−4x.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

Explanation:

We have been given parabola along positive side of x-axis with equation

y² = 4px

and, y² = -4x

after equating the values of  y² we will get

4px =-4x

Divide each term by x on both left hand side and right hand side  we will get

4p= -4

Now, divide each term by 4 on both left hand side and right hand side we will get the final result p=-1

Hence, The solution is : p= -1, is the value of p in the equation y^2=−4x.

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Answer:

1 : 2

Step-by-step explanation:

π / 2π = 1/2

1 : 2

Answer:

b has zero slop mark me as a brilliant

Answer:

Step-by-step explanation:

Answer:

Yashoda got 1800

Step-by-step explanation:

Yashoda : Ingrid

3             :   2

Ingrid got 1200

Divide this by 2

1200/2 = 600

Multiply each side by 600

Yashoda : Ingrid

3*600      :   2*600

1800       : 1200

Yashoda got 1800

Answer:

yes both lines have a slope of 2, so they are parallel.

Step-by-step explanation:

Answer:

h = 7.5 cm

Step-by-step explanation:

Firstly, we find the area of the triangular base

Mathematically, we have the area of a triangle as;

A = 1/2 * b * h

A = 1/2 * 5 * 8 = 20 cm^2

Mathematically, we have the formula as;

V= 1/3 * A * h

A is base area and h is height

50 = 1/3 * 20 * h

20h = 3 * 50

20h = 150

h = 150/20

h = 7.5 cm