Which expression is equal to (8-3i) - (6 + i)?

14-2i
14-4i
2-2i
2-4i

Answer:

Step-by-step explanation:

Let the missing part be x.

According to triangle proportionality theorem we have:

The missing length will be 35 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown is figure.

Now,

Let the missing length = x

So, By the definition of triangle proportionality theorem, we get;

⇒ x/28 = 15 / 12

Solve for x as;

⇒ x/28 = 15 / 12

⇒ x/28 = 5 / 4

⇒ x = 5 x 28 / 4

⇒ x = 5 x 7

⇒ x = 35

Thus, The missing length will be 35 units.

Learn more about the triangle visit:

https://brainly.com/question/23945265

#SPJ1

If f(x) = 3x-4 and g(x) = 4-3x then the solution of f(g(x)) = g(f(x)) proves that they are not inverse functions.

According to the question,

We have the following two functions:

f(x) = 3x-4 and g(x) = 4-3x

We know that in order to find whether two functions are inverse of each other or not we need to find the value of f(g(x)) and g(f(x)) and then see whether they are equal to x.

Now, among the given options, the only option representing this kind of solution is option D and the solutions are not equal which proves that they are not inverse functions.

Hence, the correct option is D.

To know more about inverse functions here

https://brainly.com/question/2541698

#SPJ1

The angle that is supplementary to ∠7 is ∠5 and ∠8

What is supplementary angle ?

Two angles are said to be supplementary if their sums total 180 degrees. A linear pair's two angles, like angles 1 and 2 in the illustration below, are always supplementary. But two angles don't have to be close to one another to be supplementary. Since their measures sum up to 180 degrees, the numbers 3 and 4 in the following figure are supplementary.

Two Angles are Supplementary when they add up to 180 degrees.

From given figure,

It is observed that sum of ∠7 and ∠8 is equal to 180 degrees.

The sum of ∠7 and ∠5 is equals to 180 degrees.

∴ ∠7 + ∠8 =180

and ∠7 + ∠5 = 180

Thus , the supplementary angles of ∠ 7 are ∠ 5 and ∠ 8.

To learn more about supplementary angle from the given link  

https://brainly.com/question/18316763

#SPJ1

For the exponential growth and the problems based on decay the independent variable is always time .

As given in the question,

Function based on exponential growth and decay problems is represented by :

f(t) = A[tex]e^{kt[/tex]

Function (f) is the dependent variable which depends on time t.

A is the amount for the given model which may vary according to the time.

e is the exponential function which is constant as per the value of time.

t is the time which is not depends on any of the factors given . Time is considered as independent variable.

Therefore, for the exponential growth and the problems based on decay the independent variable is always time.

Learn more about independent variable here

brainly.com/question/1479694

#SPJ1

To solve the equation: 3/4(2a-6)+1/2=2/5(3a+20), finding the value of a as follows,

We simplify the equation to the form, which is simple to understand

3/4(2a-6)+1/2=2/5(3a+20)

3/4(2a-6)+1/2=2/5(3a+20)

Reorder the terms in parentheses

+(+1.5a-4.5) + 0.5=0.4*(3a+20)

Remove unnecessary parentheses

+1.5a-4.5 + 0.5=0.4+*(+3a+20+)

Reorder the terms in parentheses

+1.5a-4.5 + 0.5=+(+1.2a+8)

Remove unnecessary parentheses

+1.5a-4.5 + 0.5=+1.2a+8

3/4(2a-6)+1/2=2/5(3a+20)

We move all terms containing a to the left and all other terms to the right.

+1.5a-1.2a=+8+4.5-0.5

3/4(2a-6)+1/2=2/5(3a+20)

(3a+20)

We simplify left and right side of the equation.

+ 0.3a=+12

(3a+20)

3/4(2a-6)+1/2=2/5

We divide both sides of the equation by 0.3 to get a.

a=40

Hence, the answer is a = 40

To Learn about more parentheses https://brainly.com/question/172432

#SPJ4

Answer:

5

Step-by-step explanation:

180-20x+10 equals the inside angle

180-14x-8x equals the inside angle

20x+10=14x+8x

10=22x-20x

10=2x

5=x

The expression is f(x) = $0.95x+$9.50

From the question, we have

A cell phone company charges $9.50 per month to rent a cell phone and $0.95 per minute.

f(x) = $0.95x+$9.50

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

To learn more about addition visit: https://brainly.com/question/680614

#SPJ9

The coordinates of B is (8,-3).

Given:

The midpoint of AB is M(7, -5)

the coordinates of A are (6, -7)

Midpoint = (x1+x2 / 2 , y1+y2 / 2)

(7,-5) = (6+x2 /2 , -7+y2 /2)

7 = 6+x2 / 2

14 = 6 + x2

x2 = 14 -6

x2 = 8

-5 = -7+y2 / 2

-10 = -7 + y2

y2 = -10+7

y2 = -3

Therefore the coordinates of B is (8,-3).

Learn more about the midpoint here:

https://brainly.com/question/28224145

#SPJ1

0.16 will be the Sample Proportion / Parameter.

Given info,

A randomly selected sample of 1,000 college students was asked whether they had ever used the drug Ecstasy. Sixteen percent (16% or 0.16) of the 1,000 students surveyed said they had.

To know which one of the following statements about the number, 0.16 is correct,

This value, 16% = 0.16 would be the sample proportion,

[tex]\hat p[/tex], since it originated from the sample.

To learn more about sample proportion click here:

brainly.com/question/24232216

#SPJ4

A linear or non- linear equation system is called inconsistent if there is no set of values for the unknown that satisfies all of the equations. correct option is (D).

in any case, the system as a whole may be inconsistent if two equations of the simply do not share any point in common. For example: Equation that describes two parallel lines.

For better understanding about inconsistent system:

lets take a non-linear system:

x² + y² + z² = 17

x² + y² +z² = 14

has no solution if one equation is subtracted from the other we obtain the impossible.

Learn more about Inconsistent system here:

https://brainly.com/question/3069765

#SPJ4

The question was incomplete. Check below the complete question.

Which equation, when paired with y = 2x 5, creates an inconsistent system?

a. 2x y = 5

b. y = 2x 5 2x â€"

c. ]4y = 10 2y â€"

d. 4x = â€"10

The dimensions of A and B are

[tex]A= LT^{-1}[/tex]

[tex]B = LT^{-1/2}[/tex]

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be x

x = At + B√2t

where x is the displacement

t is the time taken

So , the dimension of x will be L

And , the dimension of t will be T

Now ,

The equation is x = At + B√2t

So , the first term At should have dimension of L

And , the second term B√2t should have dimension of L

Therefore , the equation will be

So , The dimension of A will be

[tex]A= LT^{-1}[/tex]

And the dimension of B will be

[tex]B = LT^{-1/2}[/tex]

Hence , The dimensions of A and B are

[tex]A= LT^{-1}[/tex]

[tex]B = LT^{-1/2}[/tex]

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ1

The equation of the parabola that has its x-intercepts at (-1.6, 0) and (-3.2, 0) and its y-intercept at (0, 25.6) is  5x² + 8x - 25.6

The x intercept refers to the value of x when y = 0 this otherwise known as the roots of the polynomial equation.

The intercept form of parabolic equation is

y = a(x - p)(x - q)

where

p and q are roots

a = constant

writing the equation at (-1.6, 0), (-3.2, 0)

y  = a( x + 1.6 ) ( x + 3.2 )

passing through point (0, 25.6)

25.6  = a( 0 + 1.6 ) ( 0 + 3.2 )

25.6 = 5.12a

a = 5

substituting into the equating gives

y = a(x - p)(x - q)

y = 5( x + 1.6 ) ( x + 3.2 )

expanding the equation gives

= 5(x² + 3.2x - 1.6x - 5.12)

= 5(x² + 1.6x - 5.12)

= 5x² + 8x - 25.6

Learn more about polynomial functions here:

https://brainly.com/question/29244637

#SPJ1

To break even, 29 units must always be sold. The cost will be $850 per unit, or $24,650.

For the given question-

Total cost c: c = 850x + 250000

Total revenue R: R = 9502x

The point during which costs equal revenues is known as the break-even point.

850x + 250000 = 9502x

9502x - 850x = 250000

8652x = 250000

x = 28.29

x = 29

Thus, to break even, 29 units must always be sold. The cost will be $850 per unit, or $24,650.

To know more about the break even point, here

https://brainly.com/question/15281855

#SPJ4

Answer:

13. [tex]y=-3x[/tex]

14. [tex]y=\frac{2}{5} x+\frac{23}{5}[/tex]

15. [tex]y=4x+3[/tex]

16. [tex]y=-0.5x+6[/tex]

Step-by-step explanation:

Step 1: Point Slope Form

Step 2: Plug in and isolate y to one side (Standard Form)

   13. m = -3 and point: (0,0)

   14. m = 2/5 and point: (6,7)

   15. m = 4 and point: (-2,-5)

   16. m = -0.5 and point: (0,6)

Answer:

Joshua is correct

Step-by-step explanation:

6x+7+(-2x)+4

6x+7-2x+4

4x+7+4

4x+11

Hopes this helps please mark brainliest

Answer:

Joshua, you can’t simplify/add because they aren’t like terms

Answer:

2

Step-by-step explanation:

8+5=13

Day 1 13+5=18

Day 2 18+5=23

20+3=23

Answer: 7 days

Why it’s 7: just trust me

Answer: P=28 units

Step-by-step explanation:

The perimeter is the sum of the lengths of all the sides of a polygon

1) Let the perimeter of a square is P₁

Since a square has four sides perimeter of a square is:

                                           P₁=4(x+1)

2) Let the perimeter of a triangle is P₂

A triangle has three sides perimeter of a triangle is:

P₂=(x+2)+(x+3)+(x+5)

P₂=x+2+x+3+x+5

P₂=3x+10

Since the square and the triangles have the same perimeter

P₁=P₂

4(x+1)=3x+10

4(x)+4(1)=3x+10

4x+4=3x+10

4x+4-4=3x+10-4

4x=3x+6

4x-3x=3x+6-3x

x=6

Hence,

P=4(x+1)

P=4(6+1)

P=4(7)

P=28 units

Answer:

Step-by-step explanation:

Amber coaches both sports for 7 hours each day

v = volleyball hours

s = soccerball hours

7 hours in total, in which soccerball is 1 hour more than volleyball:

v + s = 7

s = v + 1

plug in v + 1 for s

v + s = 7

v + (v + 1) = 7

simplify

v + v + 1 = 7

2v + 1 = 7

2v + 1 (-1) = 7 (-1)

2v = 6

2v/2 = 6/2

v = 6/2

v = 3

Plug in 3 for v for one of the equations.

s = v + 1

s = (3) + 1

s = 4

Amber coaches 3 hours for volleyball, and 4 hours for soccer, making a total of 7 hours becuase 4+3 equals 7

hope this help :DDDDD

The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient.

The difference (deviations) between each value in the data set and the data set mean are averaged to get the mean absolute deviation. The deviations from a dot plot can be graphically depicted on a number line. The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data collection. A measure of variance in a data collection is the mean absolute deviation. The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It gives us a sense of how variable a dataset is.

To know more about mean absolute deviation,

https://brainly.com/question/10528201

#SPJ4

The system of equation to describe the situation below is x= 1.

What is equation?

an equation is a formula that is to expresses the equality of two expressions, by the  connecting them with in the equal sign.

The process of equting one thing with another is called the equation of science with objective.

Sol- Based on the given condition-

The formulate is- 36+2x=35+3x

Rearrange variables to the left side of the equation

2x-3x=35-36

Combine like terms

-x= 35-36

Calculate the sum or difference

-x=-1

Devide both side of the equation by the coefficient of variable we get

X=1

To know more about equationclick-

https://brainly.com/question/2972832

#SPJ13

The answer will looks kinda like this:

The solution of the equation [tex]x^2[/tex] + 27 = 0 when solved over the complex number is [tex]\sqrt{27}i[/tex]

The equation is

[tex]x^2[/tex] + 27 = 0

The complex number is the combination of  a real number and an imaginary number.

Here we have to solve the equation and find the value of x

[tex]x^2[/tex] + 27 = 0

Subtract 27 from the both side of the equation

[tex]x^2[/tex] + 27 - 27= -27

[tex]x^2[/tex]  = -27

Take square root on the both side of the equation

x = [tex]\sqrt{-27}[/tex]

We know,

[tex]\sqrt{-1}[/tex] = i

The substitute this value in the equation

Then the value of x =  [tex]\sqrt{27}i[/tex]

Hence, the solution of the equation [tex]x^2[/tex] + 27 = 0 when solved over the complex number is [tex]\sqrt{27}i[/tex]

Learn more about complex number here

brainly.com/question/20566728

#SPJ4

Answer:

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

Step-by-step explanation:

[tex]2x + y = - 5[/tex]

[tex]y = - 2x - 5[/tex]

This line has slope -2 and y-intercept -5.

A line parallel to this line will have a slope of -2. Since the y-intercept is 2, we have:

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

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

The equation of a line that passes through the point (20,17) with slope -4 is y = -4x + 97.

Given:

point(20,17) and slope m = -4

we know that:

slope intercept form y = mx + c

substitute m and (20,17)

17 = -4*20 + c

17 = -80 + c

c = 17 + 80

c = 97

y = mx +c

y = -4x + 97

Therefore the equation of a line that passes through the point (20,17) with slope -4 is y = -4x + 97.

Learn more about the line equation here:

https://brainly.com/question/21511618

#SPJ1

The solution (4, 1) is in the solution is in the system

From the question, we have the following parameters that can be used in our computation:

y = 1

y = -2x - 9

Substitute y = 1 in the equation y = -2x - 9

So, we have the following representations

1 = -2x - 9

Evaluate the like terms

So, we have

-2x = -8

Divide both sides by -2

x = 4

This means that the solution is (4, 1)

Hence. (4, 1) is in the solution is in the system

Read more about system of equations at

https://brainly.com/question/13729904

#SPJ1

The height of telephone pole is 56.44 ft.

Given,

length of shadow =12 ft

angle of at which sunray strikes the ground =78°

Le the height of telephone pole be 'x'

From figure,

We can use trigonometric ratios to find the height of pole,

[tex]tan\theta=\frac{opposite\ side}{adjacent\ side}\\\\tan78 \textdegree=\frac{x}{12}\\\\4.704=\frac{x}{12}\\\\h=4.704*12\\\\h=56.448[/tex]

Thus, the telephone pole is 56.448 ft high.

To learn more about trigonometric ratios refer here

https://brainly.com/question/9867063

#SPJ4

Your question is incomplete, please complete the question.

For the given condition the windspeed in miles per hour and the speed of the plane will be 455 and 65 miles per hour

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Suppose w and s is the windspeed in mile per hour and the speed of the plane respectively.

The plane's speed in miles per hour when flying into the wind

s-w

The aircraft's speed in miles per hour when flying into the wind is,

s+w

When it is flying into the wind,

780=(s-w)×2

When it is flying with the wind,

780=(s+w)×(3/2)

780=2s-2w

1560=3s+3w

Solve the equation we get,

w=65

s=455

Thus, for the given condition the windspeed in miles per hour and the speed of the plane will be 455 and 65 miles per hour

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ1

The complete table using the given function y = 3x²- 12x + 6 is below

x     y

1     -3

3     -3

0      6

4      6

The table is competed by using the function and solving for y at different times

The function given to complete the table is

y = 3x²- 12x + 6

substituting the different values of x gives y values

at x = 1

y = 3(1)²- 12 * 1 + 6 = -3

at x = 3

y = 3(3)²- 12 * 3 + 6 = -3

at x = 0

y = 3(0)²- 12 * 0 + 6 = 6

at x = 4

y = 3(4)²- 12 * 4 + 6 = 6

Read more about complete the table:

https://brainly.com/question/25630111

#SPJ1

The situations that can be modeled by uniform distribution include;

Option 2) is: When each discrete value is

equally likely to occur.

Option 3) is:  When each value of a continuous random variable is equally likely to occur.

Since each value has an equal chance of occurrence, thus this situation can be  modelled by Uniform distribution.

Since each value of a continuous random variable is equally likely to occur, that it follows a continuous uniform distribution.

A uniform distribution is a type of probability distribution in statistics in which all outcomes are equally likely. A deck of cards has uniform distributions because the chances of drawing a heart, a club, a diamond, or a spade are all equal. When you sample a random element, you do so according to some distribution.

The term "uniformly" refers to sampling from a uniform distribution, i.e., from a set in which drawing each element is equally likely. In statistics, it is a type of probability distribution in which every possible outcome has an equal chance of occurring. Because each variable has an equal chance of being the outcome, the probability is constant.

Learn more about uniform distribution on:

https://brainly.com/question/20815963

#SPJ1

Answer:

ИДК либо плохо так грустно для вас ха-ха

Option B correctly summarizes these conclusions and provides additional information about the level of significance and the expected frequency of getting a test statistic as extreme as the observed one if the null hypothesis is true.

Option B is the correct answer.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

The p-value of 0.011 is less than the significance level of 0.05, which means that we reject the null hypothesis that there is no difference in mean attendance between winning and losing seasons.

Therefore, we conclude that there is evidence to support the claim that mean attendance at the home stadium is greater when the team is having a winning season than when the team is having a losing season.

Thus,

Option B correctly summarizes these conclusions and provides additional information about the level of significance and the expected frequency of getting a test statistic as extreme as the observed one if the null hypothesis is true.

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ2