4(x + 2) − 2x = 4(x − 3) please show work

Answer:

If a polygon is a triangle, then it has exactly three sides

Since as have been presented above, the contraposition is true, the original statement must be true

Step-by-step explanation:

The contrapositive statement; If a polygon has more than three sides, then it is not a triangle

We have that the definition of a triangle = A polygon with exactly three sides

Therefore;

A polygon with more than three sides is not a triangle and has (n - 1)/2×180 degrees interior angle, where n = The number of sides

Therefore, when n > 3, (n - 2)/2×180 > 180°

The sum of interior angles of a triangle = 180°

Therefore, the contrapositive statement, if a polygon has more than three sides, then it is not a triangle is true

Therefore, we have;

If a polygon is a triangle, then it has exactly three sides

Since as have been presented above, the contraposition is true, the original statement must be true

Answer:

I would say Jessica

Step-by-step explanation:

Because Mia's grade dropped by 4% and Jessica's grade increased by 5%

1% difference in the grades

Answer:

2(t-3) ^2 = 72

(t - 3)^2 = 36

t - 3 = 6 or t - 3 =-6

t = 6+3 = 9. or t =-6 +3 = -3

t = 9 or -3

We have that

The Value of t is

t=9

From the question we are told

2 (t -3) ² - 72=0

In Answering the Question we must follow these few steps

Generally the derivation of t is mathematically given as

[tex](t-3)^2=\frac{72}{2}\\\\t-3=\sqrt{\frac{72}{2}}\\\\t-3=6\\\\t=9[/tex] [Firstly we must make t the subject of the Formula

Firstly we must make t the subject of the FormulaSecondly,We perform the necessary]

Therefore

The Value of t is

t=9 [Finally,The value of t will be gotten]

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Answer: I THINK capital gain

Step-by-step explanation:

The amount by which a selling price exceeds the purchasing price of a

share of stock called Capital gain.

Capital gain is characterized by the difference between the purchase price and the sale price of an asset or right. That is, when outside the exemption limit, the valuation of the asset sold is taxed, and it is necessary to direct a part of this profit to the Federal Revenue Service.

Knowing that capital gain is the profit one earns on the sale of an asset like stocks, bonds or real estate. It results in capital gain when the selling price of an asset exceeds its purchase price.

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Answer:

8

Step-by-step explanation:

just substitute it in the equation and you will find the answer

Answer:

8

Step-by-step explanation:

Step 1:

f ( x ) = 3x - 1     Function

Step 2:

f ( x ) = 3 ( 3 ) - 1     Input x

Step 3:

f ( x ) = 9 - 1     Multiply

Answer:

f ( x ) = 8

Hope This Helps :)

Answer:

17x - 7

Step-by-step explanation:

-2x + 8x - 9 + 4x + 7x + 2

6x - 9 + 4x + 7x + 2

6x - 9 + 11x + 2

17x - 9 + 2

17x - 7

Answer:

5x^(2)+12x-7

Step-by-step explanation:

Plato/Edmentum

Answer:

31.25 slides per hour.

Step-by-step explanation:

250 slides ÷ 8 hours = 31.25 slides per hour

You're welcome!

Answer:

You are trying to find how many slides they did per hour so the answer to that would be 31.25

Step-by-step explanation:

250 ÷ 8 = 31.25

Answer:

Answer:

4

Step-by-step explanation:

Irrational number are real numbers that do not end and cannot be written as a fraction.

4.66666...

can also be written as 4 2/3 therefore it is rational because it can be written as a fraction.

It is not a terminating decimal because it doesn't end(repeating).

Answer: undefined

Step-by-step explanation:

Answer: (1) d, f     (2) c, d, f     (3) e, f      (4) a, b, c, d, f     (5) e, f

Step-by-step explanation:

a) Natural Numbers:            1, 2, 3, ...

b) Whole Numbers:          0, 1, 2, 3, ...     (add zero to the Natural numbers)

c) Integers:   ..., -3, -2, -1, 0, 1, 2, 3, ...   (add negatives to the Whole numbers)

d) Rationals: Add terminating and repeating decimals to Integers.

************

e) Irrationals: Non-repeating decimals that are non-terminating.  This is its own category so cannot be a Rational number or above.

f) Real Numbers: ALL of the above (a - e) are Real numbers.

1) -5.2  has a terminating decimal so it is a RATIONAL number.

2) -4  is below zero so is an INTEGER which means it is also a RATIONAL #

3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number

4) [tex]\sqrt4[/tex] = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.

5) [tex]\sqrt7[/tex]  is a non-terminating decimal so it is an IRRATIONAL number

Answer:

I dont understand the question?

Step-by-step explanation: your trying to pick a subject??

Answer:

Yes.

Step-by-step explanation:

This is because on a protractor a 180 degree angle is just a line.

Answer:

y = 2/5x - 2

Step-by-step explanation:

Step 1: Write equation

2x - 5y = 10

Step 2: Solve for y

Answer:

  (-8, 6), (-8, -2), (-8, 0)

Step-by-step explanation:

The equation tells you that x = -8, regardless of the value of y. Every missing value is -8.

Answer:

7/18

Step-by-step explanation:

[tex]\frac{28}{72} /\frac{4}{4} =\frac{7}{18}[/tex]

7 is prime, so this can not be simplified further (since 18 is also not divisible by 7).

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the pythagorean theorem is a^2+b^2=c^2, where a and b are the legs and c is the hypotenuse. this translates to "the sum of the squares of both legs is equal to the hypotenuse squared".

Answer: 72.4 ft

Step-by-step explanation: A2+B2=C2 20squared plus Bsquared=30 22.4 squared plus 20squared equals 30squared and when you add all that together you get 72.4 ft

Answer:

y= 6/5x -8

Step-by-step explanation:

The slope-intercept form (basically the form for the equation of a line)

y=mx+b

m is the slope

x is the value you want to plug in, or the x term in a point (x, y)

we know so far,

y=6/5x + b

so to find the missing value let's plug in the x & y value from (5, -2) and use the given slope

-2 = 6/5(5) + b

6 / 5    x    5/1     or   6/5 times 5    is      30/5    or    6

so

-2 = 6 + b

subtract 6 from each side to isolate the b value or y-intercept ( the point on the graph that is on the y-axis)

-8 = b

Answer:

the answer would be -150

Step-by-step explanation:

You can multiply 25 times -3 and get -75 and multiply that by 2 and get -150

Answer:

A -150

hope it helps

;)

Answer:

Step-by-step explanation:

If y varies directly with x, it is:

Constant is -2, it means k= -2

Answer:

[tex]ns=6[/tex] means total cost of side dishes is equal to 6.

Step-by-step explanation:

M represents the cost of a main dish.

n represents the number of side dishes.

s represents the cost of a side dish.

t represents the total cost of a meal

Total cost of side dishes = Cost of a side dish × Number of side dishes = ns

Therefore,

[tex]ns=6[/tex] means total cost of side dishes is equal to 6.

Answer:

The answer is X = 0

Answer:

Explanation:

An inequality is used to represent unequal expressions or numbers. An inequality with the solution set [tex]n \ge -2[/tex] is: [tex]2n - 6 \ge -10[/tex]

Given that:

[tex]n \ge -2[/tex] --- the solution

To generate an inequality with the above solution, we do the following:

Subtract 3 from both sides of the inequality

[tex]n - 3 \ge -2 - 3[/tex]

[tex]n - 3 \ge -5[/tex]

Several operations can be carried out. The most important thing to note is that, whatever operation is done on the right-hand side of the inequality must be done on the left-hand side.

We can also multiply both sides by 2

[tex]2 \times (n - 3 )\ge -5 \times 2[/tex]

[tex]2n - 6 \ge -10[/tex]

Hence, an inequality with the solution set [tex]n \ge -2[/tex] is:

[tex]2n - 6 \ge -10[/tex]

See attachment for graph

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A=22cm

B=21cm

C=23cm

Good luck

Answer:

624.91

Step-by-step explanation:

Answer:

not simplified: 3x≤9

simplified: x≤3

Given:

On a map to cities are about 50 mm apart.

Scale is 1 cm equals 15.5 miles.

To find:

The distance between two cities.

Step-by-step explanation:

We have,

1 cm = 15.5 miles

It means

10 mm = 15.5 miles             [1 cm = 10 mm]

Now,

10 mm on a map = 15.5 miles

1 mm on a map = [tex]\dfrac{15.5}{10}[/tex] miles

                          = 1.55 miles

50 mm on a map = 50 × 1.55 miles

                            = 77.5

Therefore, the two cities are 77.5 miles apart.