In algebra, we use an(n)___ to represent a variable.

Answers

Answer 1

Answer:

A letter.

You can use any letter of the alphabet, but the ones that are most commonly used are x, y, and z.


Related Questions

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!

Answers

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

A rectangular prism has a length of 12 feet, a height of 13 feet, and a width of 8 feet. What is its volume, in cubic feet?

Answers

Answer:

1248 cubic feet

PLEASE HELP!! can somebody please estimate what this equation would be or what the real answer would be!!! thank you

Answers

Answer:

see below

Step-by-step explanation:

-2 1/4 * 7.89 + 13/3 ÷ (-4.17)

Estimate

Multiply and divide  from left to right

-9/4 * 8 + 4 ÷ -4

-18 -1

-19

The exact answer is -18.79166.....

1. Show work and find the value of the circumference of the circle with a 12 cm radius.

Answers

Answer:

75.36

Step-by-step explanation:

3.14(pi) x 24(diameter) = 75.36(circumference)

What is the value of x, tanx=7 to the nearest hundredth?

a. 54.94 degrees
b. 56.94 degrees
c. 81.87 degrees
d. 85.94 degrees

Answers

the answer is C. 81.87

Two similar prisms have surface areas that are 95
square inches and 1,520 square inches, respectively. How
many times larger is the second prism than the first prism?

Answers

Answer:

16 times larger

Step-by-step explanation:

Simple math here just do 1520/95=16 because your trying to find out how they scale to eachother, therefore finding out the difference in size by dividing.

Hope this helps:)

what is the answer to 18x-5 < 3(6x-2) ?

Answers

Answer:

No solution

Step-by-step explanation:

18x - 5 < 3(6x - 2)       Distribute the 3 to (6x - 2)

18x - 5 < 18x - 6

-18x        -18x               Subtract 18x from both sides

-5 < -6                         There is no solution because -5 is not less than -6.

If this answer is correct, please make me Brainliest!

Simplify the expression (10 + 3i)(10 - 3i)

91
109
100-30i
100+30i

Answers

Answer:

(10 + 3i)(10 - 3i)=109

Step-by-step explanation:

[tex](10+3i)(10-3i)=(10^{2} -10*3i)+(3*10i-3*3i^2)\\ =100-30i+30i-9i^2\\=100-9*(-1)\\=100+9=109[/tex]

Answer:

B) 109

Step-by-step explanation:

I took the test and got a 100%

Calculate the following percent using fraction equivalents. 50% of 64

Answers

Answer:

Step-by-step explanation:

50% is [tex]\frac{50}{100}[/tex] but we're working with 64 units, not 100. So, we must find a number that represents 50 but in 64 units.

[tex]\frac{50}{100}=\frac{x}{64}[/tex]

If you solve for x, you get:

[tex]x=\frac{50*64}{100}\\ x=32[/tex]

[tex]\frac{50}{100}=\frac{32}{64}[/tex]

If r+s/r =3 and t+r/t =5, what is the value of s/t ? (A) 12 (B) 35 (C) 4 (D) 8 (E) 16

Answers

Answer:

The answer of this question is (D) 8

Help Resources
Find the maximum value of
C = 3x + 2y
Subject to the following constraints:
x > 0
y>0
x + 3y <15
4x + y <16
Enter

Answers

Answer:

Given:

x > 0

y > 0

And,

x + 3y < 15

4x + y < 16

<=>

4x + 12y < 60

4x + y < 16

<=>

11y < 44

<=> y < 4

Otherwise

x + 3y < 15

4x + y < 16

<=>

x + 3y < 15

12x + 3y < 48

<=>

11x < 33

<=>

x < 3

=> C = 3x + 2y < 3*3 + 2*4 = 9 + 8 = 17

=>  C < 17

Hope this helps!

:)

The maximum value of  C is an illustration of objective functions

The maximum value of C is 25

The objective function is given as:

[tex]\mathbf{C = 3x + 2y}[/tex]

The constraints are:

[tex]\mathbf{x + 3y < 15}[/tex]

[tex]\mathbf{4x + y < 16}[/tex]

[tex]\mathbf{x,y > 0}[/tex]

Plot the graphs of the constraints

From the graph (see attachment), the only optimal point is (3,4)

Substitute 3 for x and 4 for y in the objective function.

So, we have:

[tex]\mathbf{C = 3x + 2y}[/tex]

[tex]\mathbf{C = 3(3) + 2(4)}[/tex]

[tex]\mathbf{C = 9 + 8}[/tex]

[tex]\mathbf{C = 17}[/tex]

Hence, the maximum value of C is 17

Read more about optimizing functions at:

https://brainly.com/question/14778650

Will Give Brainliest!!!! On Time Limit Hurry Please Wrong answer will be deleted!!
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? (negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot) (negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot) {–12, 2} {–2, 12}

Answers

Answer:

x = - 12, x = 2

Step-by-step explanation:

Given

x² + 10x = 24

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(5)x + 25 = 24 + 25

(x + 5)² = 49 ( take the square root of both sides )

x + 5 = ±  = ± 7 ( subtract 5 from both sides )

HOPE THIS HELPS

Answer:

x  =  2 ,  − 12

Step-by-step explanation:

Use the formula  ( b /2 ) (^)2  in order to create a new term. Solve for  x  by using this term to complete the square.

What is the solution to the equation sqrt2x+6-sqrtX+4=1?

Answers

Answer:

the first answer is 5

the second answer is 23

Step-by-step explanation:

edge

Answer:

x=5 and the other one is x=23

Step-by-step explanation:

Which statement is true?

Answers

Answer:

all parallelograms are rectangles

Step-by-step explanation:

the have 2 sets of parallel lines that are equal in length

20 POINTS

Triangle TUV is transformed according to the rule . (180º rotation about the origin)


What are the coordinates for U’ ?

a

(4, 6)

b

(4, –6)

c

(6, 4)

d

(6, –4)

Answers

Answer:

d. (6,-4)

Step-by-step explanation:

After 180° rotation:

(x , y) --> (-x,-y)

(-6,4) --> (6,-4)

SOMEONE HELP PLSSS
suppose your friends parents invest $10,000 in an account paying 5% compounded annually. what will the balance be after 5 years?

Answers

Answer:

12,762.82$

Step-by-step explanation:

10,000(1+0.05)^5

Solve for y in the circle below.
(400)
(4x)
D180°
(27-20)
y = 15
!
!
!

Answers

Answer:

y = 40.

Step-by-step explanation:

The opposite sides of a cyclic quadrilateral sum to 180, so:

3y + 2y - 20 = 180

5y = 180 + 20 = 200

y = 40.

Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?

On a coordinate plane, a triangle has points X prime (negative 2, 2), Y prime (0, 6), Z prime (1, 1).

On a coordinate plane, a triangle has points X (2, negative 2), Y (6, 0), Z (1, 1).
On a coordinate plane, a triangle has points X (2, 2), Y (6, 0), and Z (1, negative 1).
On a coordinate plane, a triangle has points X (negative 2, negative 2), Y (6, 0), Z (negative 1, 1).
On a coordinate plane, a triangle has points X (negative 2, 2), Y (negative 6, 0), Z (negative 1, negative 1).

Answers

A rotation of 90° about the origin includes the interchange of the position of  x, and y in the ordered pair and a change of one of the signs of the pair.

The option that shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin is the option;

On a coordinate plane, a triangle has points X(2, 2), Y(6, 0), and Z(1, -1).

Reasons:

The given transformation the gives the X'Y'Z' = 90° rotation about the origin

The given coordinates of X'Y'Z' are;

X'(-2, 2), Y'(0, 6), and Z'(1, 1)

Required:

The figure that shows the preimage of X'Y'Z'

Solution:

Given that X'Y'Z' is obtained by the rotation of XYZ 90°, therefore, the

coordinates of XYZ are given by the rotation of X'Y'Z' in the reverse

direction either counterclockwise and clockwise.

(x, y) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] (-y, x)

(x, y) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] (y, -x)

Therefore, we have;

X'(-2, 2) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] X(-2, -2)

Y'(0, 6) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Y(-6, 0)

Z'(1, 1) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Z(-1, 1)

Similarly, we get;

X'(-2, 2) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex]  X(2, 2)

Y'(0, 6) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex]  Y(6, 0)

Z'(1, 1) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] Z(1, -1)

The above coordinates of XYZ; X(2, 2), Y(6, 0), and Z(1, -1), corresponds to

the option;

On a coordinate plane, a triangle has points X(2, 2), Y(6, 0), and Z(1, -1).

Therefore, XYZ was rotated 90° clockwise to form X'Y'Z'

Learn more about rotation transformation here:

https://brainly.com/question/4738741

Answer: the first box is 90 degrees and the second box is 2 :D

Step-by-step explanation: ed 2020

hope you have a goody day / night ^^

208 divided by 6.4
What is the quotient for the equation above?
3.25
32.5
325
3,250

Answers

Answer:

B)32.5

Step-by-step explanation:

hope this helps

Answer:

32.5 or B

Step-by-step explanation:

good luck on the rest of your quiz

The sum of three mixed numbers is 20 17/30
Two of the numbers are 6 1/3 and 8 5/6
What is the third number?

Answers

Answer:

Step-by-step explanation:

6 1/3 plus 8 5/6 is 15 1/6

20 17/30 minus 15 1/6= 5.4 or 5 2/5

evaluate the following function for x=-4 f[x]=2x+5

Answers

Answer:

-3

Step-by-step explanation:

substitute -4 into the equation f(x)

Please help I don’t understand

Answers

Answer:

B

Step-by-step explanation:

what is the first step in solving for “b”?

Answers

Answer:

c

Step-by-step explanation:

Answer:

c)

Step-by-step explanation:

There were 23 students running in a race. How many different arrangements of first, second, and third place are possible?

Answers

Answer:

10626 different arrangements

Step-by-step explanation:

As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.

The formula for a permutation of n choose p is:

P(n,p) = n! / (n-p)!

So, using n = 23 and p = 3, we have:

P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626

So we have a total of 10626 different arrangements of first, second and third place.

Median income is the
A. the middle income reported
B. income in the middle of the data set when incomes are arranged from least to greatest
C. total incomes reported divided by the total number of people surveyed
D. income reported most frequently

Answers

The answer might be B

Median income is the income in the middle of the data set when incomes are arranged from least to greatest.

What is the median income?

Median is a measure of central tendency that is used to describe the number that is in the middle of a set of numbers that are arranged either in ascending or descending order

For example, the income of 3 workers for march are : $1000, $5000, $10,000. The median income is $5000.

To learn more about median, please check: https://brainly.com/question/14746682

#SPJ2

giving a lot of pts. Which expression is equivalent to 7(a+2) when a=6

7(6)

9(6)

7(6+2)

7(6+14)

Answers

Answer:

9(6)

Step-by-step explanation:

i just took the test and yea!!!!!!!!

Answer:

D. 7(6)+4

Step-by-step explanation:

I tried the answer above me but it was wrong that's why I got 90/100

but here is the REAL ANSWER

Solve for x: 3x − 2 > 5x + 10.

Answers

Answer: hopefully this is what you need

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality form:

X < -6

Interval Notation:

(-♾, -6)

What is 2.08x10^7 written in standard notation?

Answers

Answer:

D) 20,800,000

Step-by-step explanation:

josh built a circular flower bed in his backyard. the radius of the flower bed is 12 feet. he wants to find the circumference of the flower bed. he uses 3.14 for pi. what is the approximate circumference for the flower bed?

Answers

75.34

Step-by-step explanation:

1.To find the circumference, you have to multiply the diameter times pi (3.14).

2.The radius (12) is half of the diameter

3. The diameter (12x2) is 24.

4. 24x3.14 is 75.36

So, the approx. circumference is 75.36.

Answer:

Step-by-step explanation:

Answer:75ft

I need an answer quick!!!!

Answers

Answer:

investment 2 $400 Simple Interest Rate

Step-by-step explanation:

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