can someone check my answers?
simplify the following expression
21(x-4)+2
A.21x=2 my answer
B. 107x
C. 21x-82
D. 27x

solve the following expression 5x-102=13
A. 23 my answer
B. -23
C. -17.8
D. 17.8

solve the following equation 2x-31=3(x+2)
A. 37
B.-37 my answer
C. 5
D. 37/5

find the range of the function f(x)=4x=1 for the domain (-1,0,1,2,3)

A. -5,-3,0,7,11 my answer

find the slope of the graph 9x-3y=15
A: -3
B.3 my answer
C. -1/3
D.1/3

if i got it wrong walk me through it and we will figure it out together:) @Nnesha @jim_thompson5910

Answers

Answer 1
1. 21(x-4)+2 = 21x - 84 + 2 = 21x - 82 (C is the correct answer) 
2. 5x-102 = 13; 5x = 115; x = 115/5; x = 23 (A is the correct answer)
 3. 2x-31=3(x+2); 2x-31=3x+6; -x=37; x=-37 (B is the correct answer)
 4. Correct answer is (-5, -1, 3, 7, 11). When each of the X values is put in the equation for Y, i.e. 4x-1. Thus: 4*(-1)-1=-5; 4*0-1=-1; 4*1-1=3; 4*2-1=7; 4*3-
1=11
 5. Slope is 3. y=3x-5

Related Questions

Each test grade in Sara's science class counts for 1/6 of the final grade. The final exam counts for 1/2. Sara's test scores are 72, 84, and 90. Her final exam score is 90.

What is Sara's final grade for the class?
A) 83
B) 86
C) 87
D) 89,

Answers

Multiply each test by its respective weight and add the results. 72*(1/6) = 12 84*(1/6) = 14 90*(1/6) = 15 90*(1/2) = 45. 12+14+15+45= 86, so answer B is correct.

Polygon ABCD is rotated 90º counterclockwise about the origin to create polygon A′B′C′D′. Match each set of coordinates to the vertices of polygon A′B′C′D′. Tiles A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)

<---->
<---->
<---->
<---->

Answers

Look at the picture.

Answer:

A'(-1, 1), B'(-2, 1), C'(-2, 2), D'(-1, 3)

Answer:

A' = (-1,3)   -  A = (3,11)

B' = (-2,2)  -  B = (2,2)

C' = (-2,1)  -  C = (1,2)

D' = (-1,1)  -   D = (1,1,)

Step-by-step explanation:

We have the polygon ABCD transformed to the polygon A'B'C'D' with the co-ordinates,

A' = (-1,3), B' = (-2,2), C' = (-2,1) and D' = (-1,1).

Since, the polygon is rotated 90 counterclockwise about the origin.

The co-ordinates (x,y) of ABCD will change to (-y,x) for A'B'C'D'.

So, we will change the co-ordinates (-y,x) of A'B'C'D' to (x,y) which gives the co-ordinates of ABCD.

That is,

Take the y-value to the 1st position and x-value to the second multiplied by negative sign.

Thus, we have,

A' = (-1,3)   ------------------  A = (3,1)

B' = (-2,2)   ------------------ B = (2,2)

C' = (-2,1)   ------------------ C = (1,2)

D' = (-1,1)   ------------------- D = (1,1,)

Find the function p defined by a polynomial of degree 3 with real coefficients that satisfy the given condition. two of the zeros are 4 and 1+i

Answers

The third zero is 1 - i These two complex numbers always come in pairs. If you have one, you always have the other.

y = (x - 4)(x - i)(x + i)
y = (x - 4)(x^2 + 1)
y = x^3 - 4x^2 + x - 4

I need some help on this triangle similarity proof in Geometry!

Answers

I believe that this is correct if anything is unclear/blurry just ask and i will tell u what i wrote

Will FAN and MEDAL

A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet, and the angles of elevation are given.




a. Find BC, the distance from Tower 2 to the plane, to the nearest foot.
b. Find CD, the height of the plane from the ground, to the nearest foot.

Answers

the complete question in the attached figure

Part A) Find BC, the distance from Tower 2 to the plane, to the nearest foot.

in the triangle ACD
sin16=CD/(7600+BD)--------> CD=sin16*(7600+BD)---------> equation 1
 
in the triangle BCD
sin24=CD/BD-----------> CD=sin24*BD---------------> equation 2

equation 1=equation 2
sin16*(7600+BD)=sin24*BD-----> sin16*7600+sin16*BD=sin24*BD
sin24*BD-sin16*BD=sin16*7600----> BD=[sin16*7600]/[sin24-sin16]
BD=15979 ft

in the triangle BCD
cos24=BD/BC---------> BC=BD/cos24-------> 15979/cos24-------> 17491
BC=17491 ft

the answer part 1) BC is 17491 ft

Part 2) Find CD, the height of the plane from the ground, to the nearest foot.

CD=sin24*BD        ( remember equation 2)
BD=15979 ft
CD=sin24*15979 -----------> CD=6499 ft

the answer part 2)  CD is 6499 ft

Factor the expression. 4x(x^2 − 7) + 3(x^2 − 7)

Answers

To factor an expression, you need to analyze it and find a common variable or expression on the expression given. In this expression, you can observe that the expression x^2 – 7 is common to the two terms. You need to factor it out from the both of them.

4x (x^2 – 7) + 3 (x^2 – 7)

(x^2 – 7) (4x + 3)

This is already the complete factor of the expression.

An engineer earns $6000 per month. A contractor makes $80 per hour, while a teacher gets basic salary of $3000 and $50 per hour any additional job. Considering a month, which job
  is better;when, and why? Justify your answer using graphs,equations, and tables
 

      

Answers

The contractor has a better job because he receives the highest salary among the three.

Multiplying 8 hours of work by 20 working days in a month, we will get 160 monthly working hours.

Now let's compute:
Engineer: $6000 per mo. / 160 hrs. = $37.5 per hr.
Contractor: $80 per hr. * 160 hrs. = $12,800 per mo.
Teacher: $3000 per mo. / 160 hrs. = $18.75 per hr. + $50 per hr = $68.75 per hr.

Which of the functions below is the inverse of the logarithm function?

Linear function
Exponential function
Rational function
Radical function

Answers

exponential function because log deals with finding the exponent so the inverse is an exponential function

Answer:

Option 2 - Exponential function

Step-by-step explanation:

To find : Which of the functions below is the inverse of the logarithm function?

Solution :

The inverse of a logarithmic function is an exponential function.    

As by property of logarithmic,

[tex]y=\log_b(x)\\\Rightarrow x=y^b[/tex]

For example -

Taking log function,

[tex]y=\log_2 x[/tex]

Applying property it convert into exponential function,

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

The graphs of the logarithmic function and the exponential function are mirror images of one another.

Therefore, Option 2 is correct.

Can someone graph it for me and answer a or b???

Answers

First differences are all 7.3. You don't need a graph to know that is a linear function.

Andrea recorded the points she scored in her last eight basketball games. What is the mean absolute deviation of the scores
28,32,47,16,40, 35,38,54

Answers

The mean absolute deviation is a measure of variability in statistics.  This number tells us how close the rest of the numbers are to the mean.  The closer they are to the mean, the more reliable the data is.

The attached work shows how to find the MAD (mean absolute deviation).

Here are the steps:
1.  Find the mean of the data.  2.  Find the difference between the mean and the data values. 3.  Find the average of these differences.

The vertex form of the equation of a parabola is X=(y-3)^2+41. What is the standard form of the equation?

Answers

Answer: x=Y^2-6y+50

For APEX

Answer:

x=y^2-6y+50 i need to have more than characters so hdgyhejdufcyhgedhwbsnjdeufhdebwjnkdeufyhedgbw

What number belongs in the blank space in the formula??

Answers

A.6 
The formula is An=An-1+d

What is the simplified form of the quantity of x plus 5, all over the quantity of 9 − the quantity of x plus 4, all over the quantity of x plus 6?

Answers

[tex]\bf \cfrac{x+5}{9}-\cfrac{x+4}{x+6}\impliedby \textit{our LCD is clearly 9(x+6)} \\\\\\ \cfrac{\underline{(x+6)}(x+5)~~-~~\underline{(9)}(x+4)}{9(x+6)} \implies \cfrac{\stackrel{FOIL}{x^2+11x+30}~~-~~[9x+36]}{9(x+6)} \\\\\\ \cfrac{x^2+11x+30~~-~~9x-36}{9(x+6)}\implies \cfrac{x^2+2x-6}{9(x+6)}[/tex]

Answer:

The answer above is the correct answer

How many pairs of parallel line segments are shown?

1. 8
2. 24
3. 4
4. 18

Answers

For this case what you should see is each of the edges of the prism that are parallel.
 We then have as parallel edges:
 AC and GE
 CG and AE
 CD and GH
 AB and EF
 BD and HF
 DH and BF
 CD and EF
 GH and AB
 Answer: 
 8 pairs of parallel lines

Answer: The correct answer is 8

What is the value of y if (4y + 8) - (7y - 12) = 11? (PLEASE ANSWER + 10 POINTS!!!!)?

Answers

Hello!

(4y + 8) - (7y - 12) = 11     is     1(4y + 8) - 1(7y - 12) = 11

1(4y + 8) - 1(7y - 12) = 11               Given
        4y + 8 - 7y + 12 = 11              Distribute the 1 and the -1
                    -3y + 20 = 11             Combine like terms
                            -3y = -9              Subtract 20 from both sides
                               y = 3                Divide both sides by -3

Answer:
y = 3

Can someone plz explain Pythagoras theorem to me

Answers

in EVERY right-angled triangle the square on the hypotenuse = the sum of the squares on the other 2 sides.  The hypotenuse is the longest side ( opposite the right angle). 

So if the length of the hypotenuse = c units and the lengths of the 2 legs are a and b units The theorem says

c^2 = a^2 + b^2. 
Hi! :)

I assume you meant to say the Pythagorean Theorem. The Pythagorean Theorem is [tex] a^{2} + b^{2} = c^{2} [/tex] and it is used to find the length of a side of a triangle.

Hope this helps! 

simplify 6/x-6+3x/x+5-1/(x-6)(x+5)

Answers

Final answer:

To simplify a complex algebraic expression, you handle fractions first by bringing them to a common denominator. However, the resources provided seem misplaced as they pertain to calculus rules and Chemistry, which are not relevant to this algebra question.

Explanation:

The student's question is asking to simplify a complex algebraic expression: 6/x-6+3x/x+5-1/(x-6)(x+5). To simplify such an expression, it's best to deal with fractions first. Note that the given expression can also be expressed as three separate fractions summed together, i.e., (6/x-6) + (3x/x+5) - [1/(x-6)(x+5)]. Dealing with fractions in simplification, we combine them to a common denominator and rationalize the numerator and denominator. After that, simplify the resulting expression. However, with provided reference, it seems that there is a misunderstanding or a misplacement of information because resources given are about calculus rules and Chemistry which are not relevant in simplifying this algebraic expression.

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ABCD∼EFGH

AD=45 in. , EH=75 in. , and AB=30 in.

What is EF ?

Enter your answer in the box.

EF =
in.

Also Triangle ABC undergoes a series of transformations to result in triangle DEF .

Is triangle DEF congruent to triangle ABC ?

Select Congruent or Not congruent for each description.

Description Congruent Not congruent
Triangle ABC is rotated 90° clockwise, and then reflected over the line y=x to form triangle DEF.
Triangle ABC is reflected over the x-axis, and then dilated by a factor of 12 to form triangle DEF.
Triangle ABC is rotated 180°, and then translated 4 units down and 2 units right to form triangle DEF.


and
A point at (−1, 10) is rotated 90° counterclockwise about the origin.

What are the coordinates of the resulting image?


(−1, −10)

(1, −10)

(−10, −1)

(10, 1)

Answers

1. For similar triangles, the ratio of the corresponding sides is constant.
In this case, AD corresponds to EH, while AB corresponds to EF.
Therefore; AD/EH = AB/EF
  45/75 = 30/ EF
        EF = (30×75)/45
             = 50 in

2. Triangle DEF is not congruent ABC.
For congruent triangles; if three pairs of sides are equal in length, then the triangles are congruent. Also triangles are congruent if two pairs of angles of the triangle are equal in measurement, and the included sides are equal in length, then the triangles are congruent. 

3. Triangle ABC is rotated 90° clockwise, and then reflected over the line y=x to form triangle DEF. This description is Congruent.
Triangle ABC is reflected over the x-axis, and then dilated by a factor of 12 to form triangle DEF. Description not congruent
Triangle ABC is rotated 180° , and then translated 4 units down and 2 units right to form triangle DEF. The description is Congruent

4. A point (-1,10) is rotated 90° counterclockwise about the origin.
The resulting coordinates of the image is (-10,-1)
A rotation through 90 about the origin is anticlockwise (counter clockwise direction)



             

Write a explicit equation for the sequence 6,18,54,162,...

Answers

we have that

6,18,54,162,...

we know that
a1=6
a2=18
a3=54
a4=162

a2/a1=18/6--------> 3
a3/a2=54/18-------> 3
a4/a3=162/54------> 3

therefore

a(n+1)=an*3
a1=6
for n=1
a(1+1)=a1*3---------> a2=a1*3--------> a2=6*3------> a2=18

for n=2
a(2+1)=a2*3---------> a3=a2*3--------> a3=18*3------> a3=54

for n=3
a(3+1)=a3*3---------> a4=a3*3--------> a4=54*3------> a4=162

therefore

the equation for the sequence is
a(n+1)=an*3

Which is the equation of a line that is perpendicular to the line represented represented by y = 3/4x - 1/2 ?

Answers

It will be
.. y = -4/3x +c . . . . . for some value of c

_____
The slope of the perpendicular line will be the negative reciprocal of the slope of the given line, which is 3/4.

The equation of a line that is perpendicular to the given line is                 y = -4/3x + c.

What is equation of a line?

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

For the given situation,

The equation of a line is y = 3/4x - 1/2 ------ (1)

The general form of equation of line in slope intercept form is

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

On comparing the equation 1 with general form,

Slope of the line, [tex]m=\frac{3}{4}[/tex]

Then, the slope of the line perpendicular to the given line is [tex]\frac{-1}{m}[/tex]

⇒ [tex]\frac{-1}{m}=\frac{-1}{\frac{3}{4} }[/tex]

⇒ [tex]\frac{-1}{m}=\frac{-4}{3}[/tex]

No points were defined that this 'normal' should pass through, so its intercepts are indeterminate.

Thus the equation of line in slope intercept form is

[tex]y=\frac{-4}{3}x+c[/tex]

Hence we can conclude that the equation of a line that is perpendicular to the given line is y = -4/3x + c.

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Which of the following is an example of inductive reasoning?
A)Math seems fun so you conclude that everyone loves math.
B)All of your friends love math so you conclude that everyone loves math.
C)All of your friends love math. Jo loves math, therefore Jo is your friend.
D)You love math. Jo doesn't love math. Jo is not your friend.

Answers

The correct answer is Choice A

Inductive reasoning takes into consideration all available fact, and puts them together to reach a valid conclusion. The other statement contain an error of logic, but choice A has a logical conclusion based on the premise.

Answer:

The answer is A

How many hours of training would you need to have a salary of $1,265? 20 points


Hours of Training / Monthly Salary
10 1250
20 1400
30 1550
40 1700
50 1850
60 2000
70 2150

Answers

ratio problem.

[tex] \frac{1250}{10 } = \frac{1265}{x} [/tex]
solve for x

1250x=12650
[tex]12650 \div 1250 = x[/tex]
x=10.12 hours
Hmm, well I think it is 11 hours? Sorry if I wrong haven't done these in awhile.

Explain why the equation x^2+y^2=1 does not define y as a function of x

Answers

A vertical line crosses the graph of it in two places. When that is true, the relation does not meet the definition of a function. A function must be single-valued for each distinct value of the independent variable.
function by definition can have only one possible y value for any given x value.

So take x = sqrt (5)
Substituting into the equation we get:
y^2 = (sqrt 5)^2 - 1
y^2 = 5 - 1
y^2 = 4

So what y value, when it is squared, gives us 4? It could be either 2 or -2. So there are two y-values that match one x value and the equation is not a function.

x^2 + y^2 = 4 is actually the equation for a circle with center at the origin and a radius of 2. Try graphing it by hand by choosing x = 0, -2, and 2 to get four points on the circle.  Unless they specify that X Does not equal to one, then this isn't a function. Say X DOES = 1 then you'd have 1/(1^2-1) which would give you 1/0 which isn't a function. So like the other have said, it IS a function UNLESS x=1 Hope that helps!

what is the value of x
plz do not guess will mark brainlist do not comment any questions evrey thing you need is up there just post the answer

Answers

The value of x can be found using the sine function.

sin 30 = x/8
8 (sin 30) = x
4 = x

WXYZ is a square. If WT=3, find each measure

Answers

WXYZ is a square. If WT=3, find each measure


Hope this helps.

ZX


Solution: 
The diagonals  of a square are congruent, and bisect each other.

So, ZX = WY = 2(WT) = 6

In this exercise we have to use the knowledge of quadrilaterals to calculate the measures of each side of the square, in this way we can say that it will be valid:

[tex]ZX = WY = 6[/tex]

Given in the exercise that each the value of:

WT=3

The diagonals  of a square are congruent, and bisect each other, that will help to find:

[tex]WT=3\\ ZX = WY = 2(WT) = 6[/tex]

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(15,-9) is dilated by a scale factor of 3 what is its new location

Answers

For this case what you should do is follow the following transformation:
 (x, y) ---> k (x, y) ---> (kx, ky)
 Applying the transformation to the ordered pair we have:
 (15, -9) ---> 3 (15, -9) ---> ((3) * (15), (3) * (- 9)) ----> (45, -27)
 Answer:
 its new location is: 
 (45, -27)

An urn contains six red balls, five black balls, and four green balls. If two balls are selected at random without replacement from the urn, what is the probability that a red ball and a black ball will be selected. Please explain how to do it

Answers

First compute all the possibilities:
[tex]15\times14=210[/tex]
The favorable cases, number of possibilities:
[tex]6\times5=30[/tex]
Now we get the probability by dividing the above two numbers:
[tex] \frac{30}{210}=0.14 [/tex]
The probability that a red ball and a black ball is selected is 0.14.

geometry easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answers

Your answer choices are appropriate, even if the questions are not.*

The 1st selection in the 4th panel is appropriate.

___
* The figure is not necessarily a trapezoid if the diagonals do not bisect each other. It can be any quadrilateral with at least one pair of non-parallel opposite sides, a kite, for example.

Is 5,783 − -500,500 positive or negative?

Answers

I remember when I was a baby, my teacher always sang me a song, she said:

*positive (minus) a negative equals a positive*.

It has always stayed in my mind ever sense.

And because of this, I could be able to help you on this question.

This would be known to be a "positive".

As we mentioned above, (+)-(-)= (++).

Your answer: Positive.

we know that

A positive number minus a negative number is equal a positive number

so

we have

[tex]5,783-(-500,500)=5,783+500,500=506,283[/tex]

therefore

the answer is

A positive number

Which graph represents the function?

Answers

The bottom factors to (x - 30(x + 2) so there are asymptotes  at x = -2 and x = 3. Also y intercept id  at (0,1) so its either graph 2 or graph 4.
Between x = 0 and x = 3   y  is increasing so the correct graph is Graph 2.
Of course, I would just graph it on Desmos.com or my graphing calculator and be done.

f(x) can be factored as
.. f(x) = (x -6)(x +1)/((x -3)(x +2))

so will have zeros at x = {-1, 6}, vertical asymptotes at x = {-2, 3}, and sign changes at all of those points.

The Upper Right graph is the only one with the zeros and asymptotes in the right places.
Other Questions
Read this excerpt from President John F. Kennedys inaugural address on January 20, 1961: In the long history of the world, only a few generations have been granted the role of defending freedom in its hour of maximum danger. I do not shrink from this responsibilityI welcome it. I do not believe that any of us would exchange places with any other people or any other generation. The energy, the faith, the devotion which we bring to this endeavor will light our country and all who serve itand the glow from that fire can truly light the world. And so, my fellow Americans: ask not what your country can do for youask what you can do for your country. My fellow citizens of the world: ask not what America will do for you, but what together we can do for the freedom of man. Based on the excerpt, what is the central idea of this speech? A football team is practicing outdoors in October. The temperature is 86F, and the relative humidity is 40 percent. It is noon, and the day is bright and sunny. What is the maximum amount of equipment that the players are allowed to wear? List the equipment by name. What is the minimum frequency of breaks that the players must be granted to drink fluids? 1. Solve the equation. -4x = 0X = -4X = 4X = 0X = 12. decide whether the given number is a solution of the given equation. Is 8 a solution of y + 9 = 17 ? Yes or no3. simplify the expression by combining like terms. 10x - x - 2x - x8xx + 8x6x -x2 + 8x4. Name the property shown. 12x( y ) = 12(xy) Find an nth degree polynomial function with real coefficients satisfying the given conditions. calculator The line plot shows the measurement of a certain liquid (in milliliters) in nine beakers. If you combined the liquids and then put an equal amount of liquid in each beaker, how much liquid would be in each beaker?A)1/8 mlB)1/2 mlC)7/29 mlD)1/4 ml Functionalists believe that societies stratify by whereas conflict theorists think they stratify by Find a rational number that is between 9.5 and 9.7 According to the south carolina department of mental health web site, for every 200 u.s. women, the average number who suffer from anorexia is one. a group of 600 u.s. women is randomly chosen. part (a) correct: your answer is correct. part (b) correct: your answer is correct. part (c) how many are expected to suffer from anorexia One of the easiest ways to assess if you are at a healthy weight is to The Rorschach personality test requires you to look at ten black and white ink blots.Please select the best answer from the choices providedTF Which of the following statements is true of planetary movement in our solar system? A. Only the first three planets revolve around the Sun. B. The Earth and planets all revolve around the Earth's moon. C. The Sun revolves around the Earth and other planets. D. The Earth and other planets revolve around the Sun. Read the passage. Students may use cell phones between classes and during the lunch break, as long as they do not create a distraction or cause the student to be tardy for class. During class, cell phones will be secured in lockers or vehicles. Cell phones are not allowed in classrooms, locker rooms, or restrooms. Students may not use cell phones to take or transmit pictures. Cell phone use while on the bus is decided by the bus driver. Students who violate these rules will have their cell phones taken away until the end of the school year. What is the punishment for not following the schools cell phone rules? A) Cell phones will be taken away until the end of the school year. B)Cell phones will be taken away for a month. C)There is no punishment for breaking the rules. D)School officials will call the students parents. ABC is congruent to FGH, AB=8.3, BC=10.4, and CA=4.2. What is the measure of segment GH? Analyze the graph of the quadratic function that contains the points (0,-2), (1,0) and (3,10). Create the equation of the function given the three points. Having a little trouble with this question. Would greatly appreciate a little help, thank you! If a cell at metaphase of mitosis contains 20 sister chromatids, how many chromosomes will be present in a g1 cell Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2.9. What is the margin of error, assuming a 90% confidence level? Round your answer to the nearest tenth. 0.01 What early American thinker from Virginia argued in 1776 that only treason and murder should be punishable by death? What the answer to simplifying( 6 to the power of negative 2) by (3 to the power of negative 3) and (36) to the power of 4 which describes the correlation shown?