Please answer as soon as possible.

Please Answer As Soon As Possible.

Answers

Answer 1

Answer:

9(4 +3)5(9 +5)8(2+9)

Step-by-step explanation:

Problems like these are aided immensely by your knowledge of multiplication tables.

1) 36 = 1·36 = 2·18 = 3·12 = 4·9 = 6·6

  27 = 1·27 = 3·9

The greatest common factor is 9, so the sum can be written as 9(4+3).

__

2) 45 = 1·45 = 3·15 = 5·9

  25 = 1·25 = 5·5

The greatest common factor is 5, so the sum can be written as 5(9+5).

__

3) 16 = 1·16 = 2·8 = 4·4

  72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9

The greatest common factor is 8, so the sum can be written as 8(2+9).


Related Questions

Which expression is equivalent to 8/15?
A. 8÷1/5
B. 8÷15
C. 15÷1/8
D. 15÷8



Answers

Answer: B is the answer

Step-by-step explanation:

8 over 15 means 8 divided by 15, so B is the correct answer.

How would you solve 4n-2n=4?

Answers

Answer:

n = 2

Explanation:

Simplify both sides of the equation

4n − 2n = 4

4n + −2n = 4

(4n + −2n) = 4 (Combine Like Terms)

2n = 4

2n = 4

Divide both sides by 2

2n / 2 = 4 / 2

n = 2

4n-2n=4

4n-2n= 2n

2n=4

÷2

n=2

A package of 35 pencils cost $5.25. At his rate what is the cost of 1 pencil

Answers

The correct answer is: 35 divided by 5.25 =0.15

A group of students go out for lunch. If two have
hamburgers and five have hot dogs, the bill will be
$8.00. If five have hamburgers and two have hot dogs,
the bill will be $9.50. What is the price of a hamburger?

Answers

Answer:

1.50$

Step-by-step explanation:

2 hamburgers would equal 3$ and if the hot dogs are 1$ each it woul make the equation true

Final answer:

To find the price of a hamburger, set up a system of equations and solve for the price using the given information. So, the price of a hamburger is $2.50

Explanation:

To find the price of a hamburger, we can set up a system of equations based on the given information.

Let x be the price of a hamburger.

From the first scenario, we have 2x + 5(0.50) = 8.00.

From the second scenario, we have 5x + 2(0.50) = 9.50.

Simplifying these equations gives us 2x + 2.50 = 8.00 and 5x + 1.00 = 9.50.

Solving these equations, we find that x = $2.50.

Therefore, the price of a hamburger is $2.50.

Learn more about price of a hamburger here:

https://brainly.com/question/28948054

#SPJ2

old mcdonald has 100 chickens and goats in the barnyard. Altogether, there are 284 feet. How many chickens and how many goats are in the barnyard?

Answers

Answer:

58 chickens, 42 goats

Step-by-step explanation:

there are a total of 100 chickens and goats

c + g = 100....c = 100 - g

there are 284 feet....chickens have 2 feet and goats have 4 feet

2c + 4g = 284

2(100 - g) + 4g = 284

200 - 2g + 4g = 284

-2g + 4g = 284 - 200

2g = 84

g = 84/2

g = 42 <===== goats

c + g = 100

c + 42 = 100

c = 100 - 42

c = 58 <==== chickens

Final answer:

To solve the problem, set up equations based on the number of feet each animal has, then use substitution to find there are 58 chickens and 42 goats in the barnyard.

Explanation:

How to Solve Problems Involving Numbers of Chickens and Goats

Old McDonald has 100 chickens and goats in the barnyard, and altogether, there are 284 feet. To find out how many chickens and how many goats are there, we can set up a system of equations based on the information given. A chicken has 2 feet and a goat has 4 feet. Let's assign the variable C to represent the number of chickens and G to represent the number of goats.



We are given two pieces of information which we will translate into two equations:

Equation 1: C + G = 100 (since there are 100 chickens and goats in total)

Equation 2: 2C + 4G = 284 (since chickens have 2 feet and goats have 4 feet)



To solve for C and G, we can multiply Equation 1 by 2 to align it with the coefficients of Equation 2:

2C + 2G = 200

Now, subtract this new equation from Equation 2 to solve for G:

(2C + 4G) - (2C + 2G) = 284 - 200

2G = 84

G = 42

With G known, we can substitute it back into Equation 1 to find C:

C + 42 = 100

C = 58

Therefore, there are 58 chickens and 42 goats in the barnyard.

What is bigger -8 or 5

Answers

5 is bigger because its right of your number line and it isn’t -8 because it below 0 and left of the number

5 because -8 is less 0

The endpoints of cd are C (-4,10) and D (-4,10) the coordinates of the midpoint M of CD are

Answers

The endpoints C and D has no midpoint M.

Step-by-step explanation:

step 1: The given endpoints of C and D are (-4,10) and (-4,10)

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

step 3: Here, C(-4,10) = (x1,y1)

                      D(-4,10) = (x2,y2)

step 4: The midpoint represents the half distance of the line CD. Since C and D are same points, they cannot form a line. Therefore, the endpoints CD have no midpoint.

Line V has a slope of 8/9. Line w is perpendicular to V. What is the slope of line W?

Answers

Answer:

W = -9/8

Step-by-step explanation:

for two perpendicular lines

W*V = -1

W = 9/8*(-1)

W= -9/8

Final answer:

The slope of line W, which is perpendicular to line V with a slope of 8/9, is -9/8.

Explanation:

The slope of a line perpendicular to another in a two-dimensional plane is the negative reciprocal of the original line’s slope. Given that line V has a slope of 8/9, the slope of the perpendicular line W would be -9/8. This is because the product of the slopes of two perpendicular lines is -1 (negative one). Therefore, the slope of the line W, which is perpendicular to V, is -9/8.

Raj has a $25 budget to spend on decorations for a party he has already spent $18.60 he now wants to get some helium balloons that’s cost $0.80 each write and solve an inequality to show the number of balloons the raj could buy

Answers

Answer:

The number of balloons Raj could buy is 8.

Step-by-step explanation:

Given:

Raj has a $25 budget to spend on decorations for a party.

He has already spent $18.60.

He wants to get some helium balloons that’s cost $0.80 each.

Now, to write and solve an inequality to show the number of balloons Raj could buy.

Let the number of balloons be [tex]x.[/tex]

Cost of each balloons = $0.80.

So, the total cost of balloons = [tex]0.80x.[/tex]

He already spent = $18.60.

Total budget Raj has = $25.

Now, to solve an inequality to show the number of balloons:

[tex]0.80x+18.60\leq 25[/tex]

Subtracting both sides by 18.60 we get:

[tex]0.80x\leq 6.40[/tex]

Dividing both sides by 0.80 we get:

[tex]x\leq 8.[/tex]

Therefore, the number of balloons Raj could buy is 8.

Supposed that a defined population is all men and a survey is being conducted. which of these is an example of selection bias?

Answers

Answer:no it's not because bias Is your opinion ( like if you say dogs are the best that's your opinion only

Step-by-step explanation:

Answer:

Excluding women with children from the selection process of the survey

Step-by-step explanation:

The correct answer is: Excluding women with children from the selection process of the survey.

10 minus three times a number is no more than 61​

Answers

Answer:

n ≥ -17

Step-by-step explanation:

Writing a symbolic inequality, we get:

10 - 3n ≤ 61

Solve this for 3n by adding 3n to both sides of this equation:

10 ≤ 61 + 3n

Solve for n by subtracting 61 from both sides and then dividing all of the resulting terms by 3:

-51 ≤ 3n (divide both sides by 3):

-17 ≤ n, or

n ≥ -17

Which of the following is equal to the rational expression when X not equal -4 or 3?
x2 - 4x + 3
X^2+ X - 12

Answers

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{x^2-4x+3}{x^2+x-12}[/tex]

Factorise the numerator and denominator

x² - 4x + 3 = (x - 1)(x - 3)

x² + x - 12 = (x + 4)(x - 3), thus

= [tex]\frac{(x-1)(x-3)}{(x+4)(x-3)}[/tex] ← cancel (x - 3) on numerator/denominator

= [tex]\frac{x-1}{x+4}[/tex] → A

Rational expression are written as fractions. The simplified form of the expression is [tex]\frac{x-1}{x+4}[/tex]

Rational expressions

Rational expression are written as fractions.

Given the rational expression

[tex]\dfrac{x^2-4x+3}{x^2+x-12}[/tex]

Factorize the numerator and denominator

[tex]=\dfrac{x^2-4x+3}{x^2+x-12}\\=\dfrac{x^2-3x-x+3}{x^2+4x-3x-12}\\=\frac{(x-3)(x-1)}{(x+4(x-3)} \\=\frac{x-1}{x+4}[/tex]

Hence the simplified form of the expression is [tex]\frac{x-1}{x+4}[/tex]

Learn more on rational fractions here;  https://brainly.com/question/12088221

#SPJ2

What is the next step in the construction of a regular hexagon?​

Answers

Answer:

With compass setting the same as line segment PA, place the compass

at C and draw an arc that intersects the circle ⇒ answer D

Step-by-step explanation:

Lets revise the step of construction a regular hexagon

1. Draw circle with center P; put point A on the circle's edge at

any place

2. With compass setting the same as line segment PA, place the

compass at A and draw an arc that intersects the circle at B

3. With compass setting the same as line segment PA, place the

compass at B and draw an arc that intersects the circle at C

4. With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle at D

5. Contain with the same step of placing the compass at the previous arc and draw an arc with same distance of PA until you reach point A again, then join each arc on the circle forming the regular hexagon

The given steps are:

Circle with center P; point A is along the circles edge, an arc at point B

is along the circles edge, and an arc at point C is along the circles edge

According to the steps above, the next step is:

With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle (step 4)

Predictions : https://brainly.com/question/13382035

The next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

Given that,

To determine the next step in the construction of a regular hexagon.

What is a polygon?

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of the polygon, equilateral triangle, square, pentagon, etc

Here,
The next step is to draw a straight edge through the corresponding arc to the side AB, to form the second equilateral triangle.

Thus, the next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ2

Find the value of x. Round to the nearest degree.
Select one:
a. 53
b. 37
c. 49
d. 39

Answers

Answer:

a. 53

Step-by-step explanation:

The side with length 15 is opposite the right angle, so it is the hypotenuse of the right triangle.

For angle x, the side measuring 12 is the opposite leg.

Our 3 items of interest are: angle, opposite leg, hypotenuse.

The trig ratio that relates the opposite leg to the hypotenuse is the sine ratio.

sin x = opp/hyp

sin x = 12/15

sin x = 0.8

Now we take the inverse sine of 0.8 to find the measure of the angle.

x = sin^(-1) 0.8 = 53 deg

The answer will be 53!

Suppose you deposit $7500 in a saving account that has as interest rate of 5.5.
If the interest is compounded monthly, what will the approximate balance of this saving account be in 3 years?

Answers

Answer:

ok so im going give the equation to fiqure this along with the awnser,

the basic equation is A=P (1+R/N)N(T)

P= Principle (Starting amount)

R= Interest rate

N= Amount of time compounded PER YEAR  

T= amount of years

Step-by-step explanation:

so this would be A=$7500 (1+ 0.055/12)12(3)

which come to A=$7500 (1.178948602)

which comes to a total of $8842.11

hope this helps

Final answer:

The balance of a savings account with an initial deposit of $7500 and an annual interest rate of 5.5%, compounded monthly, will be approximately $8863.52 after 3 years.

Explanation:

The question involves the concept of compound interest, more specifically how much the balance of a savings account with an initial deposit of $7500 and an annual interest rate of 5.5%, compounded monthly, will be in 3 years. To calculate this, we use the compound interest formula: A = P(1 + r/n)^(nt), where:

A = the amount of money accumulated after n years, including interest.P = the principal amount (the initial amount of money).r = the annual interest rate (decimal).n = the number of times that interest is compounded per year.t = the time the money is invested for, in years.

For the given problem:

P = $7500r = 5.5% or 0.055 (as a decimal)n = 12 (since it's compounded monthly)t = 3 years

We can substitute the values into the formula:

A = 7500(1 + 0.055/12)^(12*3)

Calculating this out, we find:

A = 7500(1 + 0.0045833)³⁶

A = 7500(1.0045833)³⁶

A = 7500(1.1811360235)

A = $8863.52 (approximately)

Therefore, the approximate balance of the savings account after 3 years will be $8863.52.

BRAINLIEST AND 50 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Which statement is correct about the product of 4/5 ​​and ​ 11/9 ​?

A. Because 11/9 is greater than 1, the product of 4/5 and ​ 11/9 ​ is greater than ​ 4/5 ​.

B. Because 11/9 is less than 1, the product of 4/5 and ​ 11/9 ​ is less than ​ 4/5 ​.

C. Because 11/9 is greater than 1, the product of 4/5 and ​ 11/9 ​ is less than ​ 4/5 ​.

D. Because 11/9 is less than 1, the product of 4/5 and ​ 11/9 ​ is greater than ​ 4/5 ​.

Answers

Answer:

The answer is A. Because 11/9 is greater than 1, the product of 4/5 and ​11/9 ​is greater than ​4/5

9/9 is exactly 1. 11/9 is greater than 9/9, so 11/9 is greater than 1. If I added 4/5, the answer is larger than 11/9, therefore the answer is A.

Answer:

A. Because 11/9 is greater than 1, the product of 4/5 and 11/9 is greater than 4/5

Step-by-step explanation:

Hope this helps!

Determine the slope of the line that passes through points (0, -4) and (-1,2).
6
-6
-1/6
1/6

Answers

Answer:

B) -6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-(-4))/(-1-0)

m=(2+4)/(-1)

m=6/-1

m=-6

the answer is B, -6, because if you graph it the line goes down and it rises up 6

what is the slope a ski run that rises 8 feet for every horizontal change of 72 feet

Answers

Answer:

the slope of the ski run is 9

Enter the unknown value that makes this statement true.
20% of ______ is 120

Answers

Answer:

20% of 600 is 120

Step-by-step explanation:

We shall use X as the variable

20% of x is 120

To find 20 percent of something, divide by 5.

Alternatively, you can find 10% of it then multiply by two.

600÷5 is 120

We see that 20% of 600 is 120

A line is perpendicular to y= 1/2x-9 and intercepts the point (3,2) what is the perpendicular line

Answers

Answer:

Y= -2x +8

Step-by-step explanation:

We know the line is perpendicular so the slope is negative inverse of 1/2, which is -2.

Now to find b, plug into equation

Y= -2x+ b

2= -2(3) +b

2= -6+ b

2+6= b

8=b

Answer:

-2x+8

Step-by-step explanation:

what is 3y+14-2=0 in substitution

Answers

Answer:

y=-4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3y+14−2=0

3y+14+(−2)=0

(3y)+(14+(−2))=0 (Combine Like Terms)

3y+12=0

3y+12=0

Step 2: Subtract 12 from both sides.

3y+12−12=0−12

3y=−12

Step 3: Divide both sides by 3.

3y/3= −12/3

y=−4

Answer:

y=−4

f(1)=−1.8 f(n)=f(n−1)⋅9 ​ Find an explicit formula for f(n)

Answers

Answer:

f(1) = - 1.8

f(n) = f(1) x 9ⁿ⁻¹

Step-by-step explanation:

f(1) = - 1.8

f(n) = f(1) x 9ⁿ⁻¹

f(1) = - 1.8 x 9⁰ = -1.8

f(2) = - 1.8 x 9¹

f(3) = - 1.8 x 9²

check:

f(1)=−1.8

f(n)=f(n−1)⋅9

f(2) = f(1) x 9 = -1.8 x 9¹

f(3) = f(2) x 9 = (- 1.8 x 9) x 9 = -1.8 x 9²

Answer: f(n)= -1.8*9^n-1

Step-by-step explanation:

What is the product (3x-6)(2x2-7x+1)

Answers

Answer:

[tex]\large\boxed{6x^3-33x^2+45x-6}[/tex]

Step-by-step explanation:

[tex]\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(3x-6)(2x^2-7x+1)\\\\=(3x)(2x^2)+(3x)(-7x)+(3x)(1)+(-6)(2x^2)+(-6)(-7x)+(-6)(1)\\\\=6x^3-21x^2+3x-12x^2+42x-6\qquad\text{combine like terms}\\\\=6x^3+(-21x^2-12x^2)+(3x+42x)-6\\\\=6x^3-33x^2+45x-6[/tex]

F^-1(4) when f(x) = 3x - 4/ 5

Answers

Answer: [tex]f^{-1}(4)=\frac{8}{5}[/tex]

Step-by-step explanation:

1. You need to find the Inverse function [tex]f^{-1}(x)[/tex]:

- Given the function f(x):

[tex]f(x) = 3x - \frac{4}{ 5}[/tex]

- Rewrite it with [tex]f(x)=y[/tex]:

[tex]y= 3x - \frac{4}{ 5}[/tex]

- Now you must solve for "x":

[tex]y+\frac{4}{ 5} = 3x\\\\(y+\frac{4}{ 5})(3)=x\\\\x=\frac{y}{3}+\frac{4}{15}[/tex]

- Now you must exchange the variables:

[tex]y=\frac{x}{3}+\frac{4}{15}[/tex]

- Then:

[tex]f^{-1}(x)=\frac{x}{3}+\frac{4}{15}[/tex]

2. Substitute [tex]x=4[/tex] into the Inverse function and then evaluate:

[tex]f^{-1}(4)=\frac{(4)}{3}+\frac{4}{15}\\\\f^{-1}(4)=\frac{8}{5}[/tex]

y = 0.0043x3 − 0.24x2 + 0.583x + 199.8

what does this look like graphed ?

Answers

Answer:

Table and graph attached

Step-by-step explanation:

Graph of a Function

Given a real function f(x), we can construct its graph by taking random values for x, computing f(x) for each selected value, and plotting the pairs (x,f(x)) in a rectangular grid. By joining the points we get an approximate graph.

It's not always easy to find an appropriate set of values for x which makes the important part of the graph be clearly shown in the graph. We select the range for x between -30 and +70. The results are shown in the table below.  

The graph is also shown in the second image provided.

systems of equations
15x-4y=62
5x+8y=86

Answers

Answer:

y = 7 and x = 6

Step-by-step explanation:

15x-4y=62 ---------------------------(i)

5x+8y=86-----------------------------(ii) X 3

15x+24y=258---------------------------(iii)

(iii)-(i)

28y = 196

y = 7

Sub. for y in (I) to get x

x = 6

Final answer:

The system of equations 15x - 4y = 62 and 5x + 8y = 86 is solved using the method of elimination, yielding the solution x = 6 and y = 7.

Explanation:

We are asked to solve a system of equations:

15x - 4y = 625x + 8y = 86

We will use the method of elimination to solve this system, which involves manipulating the equations so that adding or subtracting them will eliminate one of the variables, allowing us to solve for the other.

Multiply the second equation by 3: 15x + 24y = 258.Subtract the first equation from the modified second equation: 15x + 24y - (15x - 4y) = 258 - 62.This gives us 28y = 196, and solving for y gives us y = 7.Substitute y = 7 into the first original equation to find x: 15x - 4(7) = 62.Solve for x: 15x - 28 = 62, which gives x = 6.

Therefore, the solution to the system of equations is x = 6 and y = 7.

p. John roller skates with a constant
speed of 12 miles per hour. How long
will he take to travel a distance of
30 miles?

Answers

Answer:

2 1/2 hours

Step-by-step explanation:

1. multiply 12 by 2 to get 24

2. divide 12 by 2 to get 6 mph (miles per hour)

3. Add the 6 and 24

-12 * 7/2
Please explain

Answers

Answer:-42

Step-by-step explanation:

-12*7/2

Is also represented like this

-12/1*7/2 proper fraction

Multiple -12*7 and divide by 2

-84/2= -42

Answer:

Using BIDMAS the answer equates to -42.

Step-by-step explanation:

The average score on the statistics final exam was 85 and the standard deviation was 2.5 . Chris scored a 95 . Chris scored higher than what percent of his class?

Answers

Answer:

55%

Step-by-step explanation:

its honestly just a guess

prove equal chord of a circle substend equal angle at centre​

Answers

Answer:

The Proof for  "Equal chord of a circle subtends equal angle at the Center".

Step-by-step explanation:

Consider a Circle with center as C,

Radius AC ,BC ,DC and EC

Chord AB = Chord CD

To Prove:

"Equal chord of a circle subtends equal angle at center".

i.e ∠ACB = ∠ECD Which are Center angle

Proof:

In  Δ ABC and Δ DEC

Chord AB ≅ Chord DE     .….{Given}

AC ≅ DC                           …..{Radius of Same Circle}

BC ≅ EC                           ….{Radius of Same Circle}

Δ ABC ≅ Δ DEC               ….{By Side-Side-Side Congruence Postulate}

∴∠ACB ≅ ∠ECD  ...{Corresponding Parts of Congruent Triangles are Congruent or CPCTC} ....Proved

i.e Equal chord of a circle subtends equal angle at the Center.

Other Questions
Why did Filipinos become such an important part of Californias agricultural workforce? Select all of the following descriptions that are true about market economies. Select all that apply: a. The government decides what methods of production will be used and how much workers will be paid. b. A market economy is based on private enterprise. c. Economic effort is devoted to goals passed down from a ruler or ruling class. d. A person's income is based on his or her ability to convert resources (especially labor) into something society values. multiple choiceWhich of the following would an A/V technician NOT typically do? (Select all that apply).connect equipment for school presentationswrite a script for a moviemake their own recordingsnegotiate ticket prices for concerts and plays What is a result of the development of the point-and-shoot camera in the late 1800s?A) . An investor sees on the Internet that his stock has risen.B) . A band distributes some original songs on CD .C) . A refugee camp is featured on the cover of a magazine.D) . A college student's shirts turn pink when they are mixed with red sheets in the washing machine. The process of monitoring activities to ensure that objectives are being accomplished as planned and corrections made where significant deviations occur is known as___________. Regardless of the level of intellectual study and training, it is important for actors to prepare before taking the stage often through various exercises such as: Fatter sociable weaver birds spend more time foraging where they are vulnerable to predation, are more attractive to predators, and are less likely to escape an attack. Conversely, thin birds risk starvation. Therefore, sociable weaver of an intermediate weight have a selective advantage. This is an example of ____ selection.a. frequentb. directionalc. disruptived. stabilizinge. mutational Whats the theme of men in the storm If you can not see clearly 100 ft in both directions when approaching an uncontrolled intersection, what should your rate of speed be? Need help ASAP please and thank you Can someone help me on this question plz Karen measured 20 cm between two points on the map below. What is the actual distance between the two points at the campground?A:150 miles B: 25 C: 50 D:100 If a tenant occupies a leased property without the consent of the landlord after a lease expires, the type of estate that results is called: The three elements of Value Proposition, Key Customers, and Capabilities operate within an environment. Which of the following is NOT part of that environment?a. Competitionb. Regulationc. Technologyd. Founder's ideology Mo is thinking of a number. Eleven more than one third of the number is -1. Find mos number. What would be printed out as a result of the following code? Question 7 options: 1) The quick brown fox jumped over the \nslow moving hen. 2) The quick brown fox jumped over the slow moving hen. 3) The quick brown fox jumped over the slow moving hen. 4) Nothing. This is an error. Despite popular mythology, studies have continually found that there are no harmful effects associated with smoking marijuana, even over an extended period of time.true-false The diagram shows the movement of particles from one end of the container to the opposite end of the container. A cylindrical container is shown sealed at the top and bottom, with a solid layer with one small hole in it in the middle. The top part of the container has many small balls in it; the bottom part has only 4 balls. Arrows point down through the hole in the center layer. Which event is most likely occurring? diffusion because particles move from regions of high concentration to regions of low concentration diffusion because particles move from regions of low concentration to regions of high concentration effusion because there is a movement of a gas through a small opening into a larger volume effusion because there is a movement of a gas through a large opening into a smaller volume A 480 item pencil and paper standardized test of 20 personality dimensions used in selecting managers, sales associates and leadership positions is ___________. f(x) = x 8, g(x) = x2 Find (f + g)(x) 15 POINTSquestion 9A student finds the slope of the line between (14, 1) and (18, 17). She writes 1 - 17 over 18 - 14. What mistake did she make?a.She should have added the values, not subtracted them.b.She did not keep the order of the points the same in the numerator and the denominator.c.She mixed up the x- and y-values.d.She used y-values where she should have used x-values. Steam Workshop Downloader