7. Use the properties of operations to simplify this algebraic expression. Rewrite the expression by following the directions in each step. 5(x – 4) + 3x – 9x + 7 Step 1: Rewrite the subtraction operations as addition of negative numbers. (1 point) Step 2: Use the distributive property. (1 point) Step 3: Use the commutative property of addition to reorder terms so that like terms are together. (1 point) Step 4: Use the associative property of addition to group like terms. (1 point) Step 5: Simplify. (1 point)

Answer:

[tex]\frac{9}{2}[/tex]

Step-by-step explanation:

The variable 'm' represents the slope in 'y=mx+b'. We need to find the slope of the two points.

Slope is rise over run. We are given the points of (6, 13) and (10, 31).

[tex]m=\frac{rise}{run}=\frac{31-13}{10-6} =\frac{18}{4} =\huge\boxed{\frac{9}{2}}[/tex]

The slope, or 'm' should be [tex]\frac{9}{2}[/tex].

===================================================

Explanation:

For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure

exterior angle = 40

We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180

interior angle = 180-(exterior angle) = 180-40 = 140

This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.

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side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.

Answer:

pm/ 100 is answer.

Step-by-step explanation:

here, p% of m

=p/100× m

= pm/ 100 ...is answer.

hope its what you are searching for..

Step-by-step explanation:

-|2x+3|=1

-|2x+3|/-1=1/-1

|2x+3|=-1

2x=-1-3

2x=-4

2x/2=-4/2

x= -2

Answer:

see below

Step-by-step explanation:

2i * -2i = -4 i^2

We know that i^2 = -1

          = -4 * -1

          = 4

It is not equal to -4i because we need to multiply i*i which is i^2 not i

Answer:

The answer is 4 (working below), It is not [tex]-4i[/tex] because [tex]i \times i = i^2[/tex].

Step-by-step explanation:

[tex]2i \times -2i[/tex]

Multiply.

[tex]2 \times i \times -2 \times i[/tex]

[tex]-4i^2[/tex]

Apply : [tex]i^2 = -1[/tex]

[tex]-4(-1)[/tex]

[tex]=4[/tex]

Answer:

1/1

Step-by-step explanation:

because that is it

Area of a rectangle is 27 cm²

Given:

Perimeter of a rectangle = 24 cm

Length = 3x

Width = x

p = 2(l + w)

24 = 2(3x + x)

24 = 6x + 2x

24 = 8x

24/8 = x

3 = x 

Width = 3 cm ; Length = 3x = 3(3) = 9 cm

Area = length * width

        = 9cm * 3 cm

Area = 27 cm² 

Answer:

Area of a rectangle is 27 cm²

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is b

The product of the given polynomials is 3x⁴-x³+3x²+18x+4. Therefore, option B is the correct answer.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given expression are 3x² + 5x + 1 and x² - 2x + 4

Now,

           3x² + 5x + 1

         × x² - 2x + 4

         __________

           12x²+20x+4

    -6x³-10x²-2x

3x⁴+5x³+x²

_______________

3x⁴-x³+3x²+18x+4

Therefore, option B is the correct answer.

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Answer:x=8 Y=-6

Step-by-step explanation:

14-2.5x=1.5x-18

+18. +18

32-2.5x=1.5x

+2.5x =2.5x

32= 4x

Divide 4 to both sides you get

8=x

Y=14-2.5(8)

Y=14-20

Y=-6

Answer:

C. 21/26

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Plug in our coordinates:

m = (5 + 16)/(18 + 8)

m = 21/26

Answer:

C. 21/26

Step-by-step explanation:

Slope is determined by the change (or difference) in the y-coordinates divided by the change (or difference) in the x-coordinates.

Here, our y-coordinates are -16 and 5, so:

5 - (-16) = 5 + 16 = 21

Our x-coordinates are -8 and 18, so:

18 - (-8) = 18 + 8 = 26

Now, we divide: 21/26.

The answer is thus C.

~ an aesthetics lover

Answer:

$2.01.

Step-by-step explanation:

Tax paid = 5.5% * 36.60

= 0.055 * 36.60

= 2.013

Answer: its c i took the test

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a regular polygon, all sides and angles are equal.

So, an equilateral triangle is an example for regular polygon

Answer:

equilateral triangle should be the correct answer

Step-by-step explanation:

Answer:

[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

Step-by-step explanation:

[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

The inverse of the linear function, f(x),  f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is  f⁻¹(x) = 3 (x -5) / 5

The inverse of a function is a function that reverses the effect the original function.

Here, we have,

The original function is; f(x) =5x/3 +5

The inverse of f(x) can therefore be found by making x the subject of the equation as follows;

f(x) = 5x/3 +5

f(x) -5 = 5x/3

(f(x) -5) 3 = 5·x

x = (f(x) -5) 3 / 5

x = 3 (f(x) -5) / 5

Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;

f⁻¹(x) =  3 ((x) -5) / 5

f⁻¹(x) = 3 (x -5) / 5

The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.

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Answer:

A, B, D

Step-by-step explanation:

Answer:

The equation of the burning of the candle is

[tex]y = -2x + 12[/tex]

It would take 6 hours for the candle to burn out completely.

Step-by-step explanation:

A candle is burning. It starts out 12 inches long.

After 1 hour, it is 10 inches long.

After 3 hours, it is 6 inches (5.5 must be a typing error)

2. Is the height of the candle a function of time? If yes, is it a linear function? Explain your thinking,

The burning of this candle can be modeled by a linear equation of the form

[tex]y = mx + b[/tex]

where y is the length of the candle in inches, x is the time in hours, m is the slope and b is the y-intercept.

The height of the candle is clearly a function of time since it changes with time.

The slope m is given by

[tex]$ m = \frac{y_2 - y_1}{x_2 - x_1} $[/tex]

Where

[tex](x_1, y_1) = (0, 12) \\\\(x_2, y_2) = (1, 10) \\\\[/tex]

[tex]$ m = \frac{10 - 12}{1 - 0} $[/tex]

[tex]m = -2[/tex]

The slope of negative 2 means that the length of the canlde is decreasing by a factor of 2.

To find the value of the y-intercept (b),

substitute (x, y) = (0, 12)

which means that at x = 0 the length of the candle is 12 inches.

[tex]y = mx + b \\\\12 = -2(0) + b \\\\b = 12[/tex]

So the equation of burning of the candle becomes

[tex]y = mx + b \\\\y = -2x + 12 \\\\[/tex]

1. When do you think the candle will burn out completely?

Since we have the equation now we can find the length of the candle for any given time and also find the time required for a specific length of the candle.

Burn out completely means the length of the candle becomes zero.

[tex]y = -2x + 12 \\\\0 = -2x + 12 \\\\-2x = -12 \\\\x = 12/2 \\\\x = 6 \: hours \\\\[/tex]

Therefore, it would take 6 hours for the candle to burn out completely.

Answer:

4

Step-by-step explanation:

Answer:

-6634

Step-by-step explanation:

(5m)² - (2n-3m)³ if m=-3 and n=5

= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3

= (-15)^2 - (10 - (-9))^3

= 225 - (19)^3

= 225 - 6859

= -6634

Answer:

C. 10i

Step-by-step explanation:

I took the quiz and got a 100%

By Simplify square root of negative 100 we get the answer is C (10i).

Usually, simplification involves proceeding with the pending operations in the expression.

A Simplification usually involves making the expression simple and easy to use later.

We have the expression:

√-100

Rewriting this yields:

[tex]=\sqrt{-1\cdot100}\\\\=\sqrt{-1}\cdot\sqrt{100}\\\\=i\sqrt{100}=10i[/tex]

Therefore, By Simplify square root of negative 100 we get the answer is C (10i).

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Answer:

1

Step-by-step explanation:

Halves:

0

0.5

1

1.5

2

1 1/16 = 1.0625

1.0625 is between 1 and 1.5, but it is much closer to 1 than to 1.5, so answer is 1

The probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be 4.167%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1 to 6.

Each player chooses one card and rolls the cube to determine the number of spaces to move on the game board.

Then the probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be

[tex]\rm P = \dfrac{2}{8}\times \dfrac{1}{6}\\\\\\P = \dfrac{1}{24}\\\\\\P = 0.04167 \ or \ 4.167\%[/tex]

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Answer: 0.01.

Step-by-step explanation:

Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.

i.e. each place in 5 digit number has 10 choices.

Total ways to make such a number = [tex]10^5=100000[/tex].

If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000  [as 4 and 2 can be put on first and second place in 1 way ]

Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]

Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.

Answer:

A) 19,600

Step-by-step explanation:

A) How many ways can we choose three states to be represented?

To solve for the above question, we would be using the Combination formula

The combination formula is given as:

C(n , r) = nCr = n!/r! (n - r)!

Where n = 50

We are told that we are to make a 3-Senator committee in which no two members are from the same state. So,

r = 3 ( senator committee)

nCr = n!/r! (n - r)!

50C3 = 50! / 3! (50 - 3)!

50C3 = 50! / 3! × 47!

50C3 = 19,600

Therefore, the number of ways can we choose three states to be represented is 19,600 ways.

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800

Step-by-step explanation:

Greatest is always the number with the most digits.

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800

Step-by-step explanation:

To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.

[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]

Answer:

see below

Step-by-step explanation:

-1.1 x + 6.4 >- 1.3

Subtract 6.4 from each side

-1.1 x + 6.4 -6.4 >- 1.3-6.4

-1.1x > -7.7

Divide each side by -1.1, remembering to flip the inequality

-1.1x/-1.1< -7.7/-1.1

x < 7

There is an open circle at 7 and a line going to the left

Hey there! :)

Answer:

C.

Step-by-step explanation:

Given:

-1.1x + 6.4 > -1.3

Subtract 6.4 from both sides:

-1.1x >  -7.7

Divide both sides by -1.1. Flip the sign because you are dividing by a negative sign.

-1.1x/ (-1.1) < -7.7/(-1.1)

x < 7.

Therefore, C is the correct answer. Since the sign used is < without the equal to, an open circle would be used.

Answer:

Its C

Step-by-step explanation:

The statement which best describes what is happening in section C is His car is slowing down.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

The graph is attached below.

There are 4 sections on the graph.

In the section A, the car is speeding up since the speed is increasing as the time increases.

In the section B, the speed is constant as the time increases. This means his car is traveling at a constant speed.

In the section C, speed is decreasing with time. So the car is slowing down.

In the section D again the car travels at a constant speed.

Hence in section C, car is slowing down.

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Answer:

PARALLELOGRAM have 2 pairs of congruent angles

Step-by-step explanation:

QUADRILATERALS have one pair of parallel lines. If it has two sets, it NOW become a PARALLELOGRAM.

The statement first is All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.

A figure enclosed by the four sides and the sum of all the angles are equal to 360.

Properties of a quadrilateral are:-

A quadrilateral has four sides (edges)

A quadrilateral has four vertices (corners)

A quadrilateral has interior angles that add to 360 degrees:

Types of quadrilateral are square, rectangle, rhombus, trapezoid, and parallelogram.

So here  All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.

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