what algebraic expression represents GK?

What Algebraic Expression Represents GK?

Answers

Answer 1
Answer:

Explanation:

GK = GH + HJ + JK

But GJ = 3x + 5, HJ = x, HK = 4x - 1

Find GH:

GH = GJ - HJ
GH = (3x + 5) - x
GH = 3x + 5 - x
GH = 2x + 5

Find JK:
JK = HK - HJ
JK = (4x - 1) - x
JK = 4x - 1 - x
JK = 3x - 1

Find GK:

GK = GH + HJ + JK
GK = 2x + 5 + x + 3x - 1
GK = 6x + 4

Therefore, GK = 6x + 4

Related Questions

Evaluate f (x) = 2x – 13 for f (x) = 9, x =

Answers

Answer:

11

Step-by-step explanation:

f(x) = 2x - 13

9 = 2x - 13                   Add 13 to both sides

9 + 13 = 2x                  Add the left

22 = 2x                       Divide by 2

22/2 = x

x = 11

Solve for x 9x - 1 = -11

Answers

Answer:

x=[tex]-\frac{10}{9}[/tex]

Step-by-step explanation:

We start by moving the constant to the right. In this case -1 (it becomes positive 1).

9x=-11 +1

9x= - 10

divide 9 by both sides.

x=- [tex]\frac{10}{9}[/tex]

Seven is part of all of the following sets of numbers except
O irrational numbers
O integers
O rational numbers
natural numbers

Answers

Answer:

Seven isn't part of the set of irrational numbers.

Step-by-step explanation:

Seven and the Set of all Natural Numbers

Start with the smallest set among the choices. The set of all natural numbers, [tex]\mathbb{N}[/tex], starts with [tex]0[/tex] (or [tex]1[/tex], for some people.) A number [tex]n[/tex] is in [tex]\mathbb{N}\!\!\![/tex] (write [tex]n \in \mathbb{N}[/tex]) if and only if [tex](n - 1)[/tex] is in [tex]\mathbb{N}\![/tex]. Conversely, if [tex]n\![/tex] is indeed in [tex]\mathbb{N}\!\!\!\!\![/tex], then [tex](n + 1)[/tex] would also be in [tex]\mathbb{N}\!\!\!\!\!\!\![/tex]. For [tex]7[/tex]:

[tex]1 \in \mathbb{N} \implies 2 \in \mathbb{N}[/tex].

[tex]\vdots[/tex].

[tex]6 \in \mathbb{N} \implies 7 \in \mathbb{N}[/tex].

Therefore, [tex]7[/tex] is indeed in the set of all natural numbers.

Seven and the Set of all Integers

Similarly, a number [tex]n[/tex] is in the set of integers, [tex]\mathbb{Z}[/tex], if and only if either [tex](n - 1)[/tex] or [tex](n + 1)[/tex] is (or both are) in [tex]\mathbb{Z}\!\![/tex].

Conversely, if a number [tex]n[/tex] is in [tex]\mathbb{Z}[/tex], then both [tex](n - 1)[/tex] and [tex](n + 1)[/tex] will be in [tex]\mathbb{Z}\![/tex].

It can be shown in a similar iterative way that [tex]7 \in \mathbb{Z}[/tex].

Alternatively, consider the fact that the set of all natural numbers, [tex]\mathbb{N}[/tex], is a subset of the set of all integers, [tex]\mathbb{Z}[/tex]. Therefore, [tex]7 \in \mathbb{N}[/tex] implies that [tex]7 \in \mathbb{Z}[/tex].

Seven and the Set of all Rational Numbers

A number [tex]m[/tex] is a member of the set of all rational numbers [tex]\mathbb{Q}[/tex] if and only if there exists two integers [tex]p[/tex] and [tex]q[/tex] such that:

[tex]\displaystyle m = \frac{p}{q}[/tex].

[tex]1[/tex] and [tex]7[/tex] are both integers. If [tex]p = 7[/tex] and [tex]q = 1[/tex], then [tex]\displaystyle 7 = \frac{7}{1} = \frac{p}{q}[/tex]. Hence,

Alternatively, note that the set of all integers, [tex]\mathbb{Z}[/tex], is a subset of the set of all rational numbers, [tex]\mathbb{Q}[/tex]. Therefore, the fact that [tex]7 \in \mathbb{Z}[/tex] would imply that [tex]7 \in \mathbb{Q}[/tex].

Seven and the Set of all Irrational Numbers

A number is in the set of all irrational numbers if and only if:

this number is in the set of all real numbers, andthis number is not in the set of all rational numbers. (Hence "irrational.")

Therefore, the fact that [tex]7[/tex] is a rational number implies that it is not an irrational number.

Answer:

irrational numbers

Step-by-step explanation:

Please answerrr I need help with hw and I still can't solve this!!!

Answers

The answer would be 16 all you have to do is multiply the length by the width which is 2 and 8.

Solve the following equation: 3x - 7 = 9 + 2x.
A)12
B)16
c)20
d)24

Answers

answer:
B

the equation:
3x-7=9+2x

step 1: subtract 2x from both sides
x-7=9

step 2: add 7 to both sides
x=16

Answer:

Option B

Step-by-step explanation:

[tex]3x - 7 = 9 + 2x\\\\3x-7+7=9+2x+7\\\\3x = 9 + 7 + 2x\\\\3x=16+2x\\\\3x-2x=16+2x-2x\\\\\boxed{x=16}[/tex]

Hope this helps!


The amount of money invested in a retirement fund is an example of which of the following?
a. investment asset
b. liquid asset
c. long term asset
d. use asset

answer: investment asset e2020

Answers

Answer:

A.

Step-by-step explanation:

Retirement funds are not liquid assets. You fund them with investment assets.  However, Roth IRA's and 401 (k) are not assets in the traditional sense. It may be confusing, but the way they grow is by investments. The answer is A.

The amount of money invested in a retirement fund is an example of an investment asset. which is the correct answer would be an option (A)

What is an Investment?

An Investment is defined as an asset or object purchased with the intention of generating income or appreciation is referred to as an investment. The term "appreciation" describes a rise in an asset's worth over time. When a person buys a product as an investment, they don't intend to utilize it right away; instead, they plan to use it to make money later on.

An investment always entails the expenditure of some capital today—time, effort, money, or an asset in the anticipation of receiving a larger return than what was first invested.

Investment portfolios are not movable property. They are financed by investments. One type of investing asset is the amount of money invested into a retirement fund.

Hence, the amount of money invested in a retirement fund is an example of an investment asset. which is the correct answer would be an option (A)

Learn more about an Investment asset here:

https://brainly.com/question/23611837

#SPJ2

Simplify: 5m (5m* +5m -4)
A 10m +10m² + m
B 10m + 10m + m
25m + 25m-20m
D 25m + 25m-20m

Answers

C I think because if you multiply 5 to everything you would get c

-5/6 + 1/4 = is what???
Please help th points is 100...

Answers

Answer:

-7/12

Step-by-step explanation:

Find common denominators. Note that what you do to the denominator, you do to the numerator.

Set the common denominator to 12:

(-5/6)(2/2) = -10/12

(1/4)(3/3) = 3/12

Combine the terms:

-10/12 + 3/12 = 3/12 - 10/12 = -7/12

-7/12 is your answer.

~

What is the domain in interval notation. do not include any spaces in your answers! Type in the word infinity if needed

Answers

Answer:

(-6,5]

Step-by-step explanation:

Domain includes all of the x-values a function contains. In this case, it goes from -6 to 5. The open dot on the left indicates that this number is not included in the answer, and in interval notation you would use a parentheses. The filled in dot on the right coordinate indicates that this number is included, so you would use a bracket.

(-6,5] and step but step

Round 10.999244792948 to the nearest whole number

Answers

Answer:

11

Step-by-step explanation:

1. Listing Information

The number is 10.999244792948.

Simply put, numbers below 5 are rounded down and numbers that are greater than or equal to five are rounded up.

The tenths place value in 10.999244792948 is 9.

2. Solving the Problem

With the previous information in mind, 9 is greater than 5. Because of this, 10.999244792948 should be rounded to 11.

the sum of two numbers is 58. The larger number is 22 more than the smaller number. What are the numbers?

Answers

the two numbers are 40 and 18

Determine if the following relations represent y as a function of x. x=y^4

Answers

Answer:

x = y⁴ does not represent y as a function of x

Step-by-step explanation:

Let's first isolate this equation for the 'y' value :

[tex]\mathrm{Switch\:sides} : y^4=x,\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)} : y=\sqrt[4]{x},\:y=-\sqrt[4]{x}[/tex]

So as you can tell, we have two functions. However, they can be rewritten as one function, y = ± ⁴√x. As we have two values of x that correspond to one value of y, this relation is not a function.

Solution: x = y⁴ does not represent y as a function of x

is 1 1/2 a rational number?

Answers

yes. It would be an irrational number if it didn't repeat in a pattern.

hope it helps comment if u have any questions

Answer:

Yes.

Step-by-step explanation:

Yes 1 [tex]\frac{1}{2}[/tex] is a rational number because because it can be converted to a decimal, which is 1.5

How do you write.09 in words?

Answers

Answer:

zero point 9

0 and nine tenths

Step-by-step explanation:

Nathan is stocking bathrooms at the hotel where he works. he has 18 rolls of toilet paper and 9 bars of soap. if he wants all bathrooms to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest combination of bathrooms Nathan can stock

Answers

I would say 3 because 18/3 is 6, and 9/3 is 3. So you could put 6 rolls of toilet paper in each bathroom and three bars of soap. I probably just got this wrong but hope I helped out :)

PLEASEEE HELPPP

Solve for x:

Answers

Second option, just do Pemdas backwards.

Perform row operations: The three elementary row operations can be performed in MATLAB using the following commands Type I: A([i,j], :)=([j,i],:) interchanges row i and row j Type II: A(i,:)=2*A(i,:) multiplies row i by a Type III: A(i, :)=A(i, :)+ q*A(j,:) multiplies row j by a and adds it to row i Enter the following matrix: [ 3 5 4 -12 -23 -14 6 4 14] Perform row operations in MATLAB that reduce the matrix A to Row Echelon Form. Use format rat.

Answers

Answer:

The solution and the calculation is shown on the first uploaded image

Step-by-step explanation:

5. Solve the following equations for the indicated variable.
a. 5(3x + 7)=20-2(x +1) for x
b. 2x - y= 24 for y
c. m(3 – 4m)= 7+4(8 – m2) for m
d. 5x(x + 3) =(x)(5x – 3) + 36 for x

Answers

Answer:a) x =−1

B) x=1/2y+12

C) m=13

D) x=2

Step-by-step explanation:a) Let's solve your equation step-by-step.

5(3x+7)=20−2(x+1)

Step 1: Simplify both sides of the equation.

5(3x+7)=20−2(x+1)

(5)(3x)+(5)(7)=20+(−2)(x)+(−2)(1)(Distribute)

15x+35=20+−2x+−2

15x+35=(−2x)+(20+−2)(Combine Like Terms)

15x+35=−2x+18

15x+35=−2x+18

Step 2: Add 2x to both sides.

15x+35+2x=−2x+18+2x

17x+35=18

Step 3: Subtract 35 from both sides.

17x+35−35=18−35

17x=−17

Step 4: Divide both sides by 17.

17x/17=−17/17

x=−1

B) Let's solve for x.

2x−y=24

Step 1: Add y to both sides.

2x−y+y=24+y

2x=y+24

Step 2: Divide both sides by 2.

2x/2=y+24/2

x=1/2y+12

C) Let's solve your equation step-by-step.

m(3−4m)=7+4(8−m2)

Step 1: Simplify both sides of the equation.

−4m2+3m=−4m2+39

Step 2: Add 4m^2 to both sides.

−4m2+3m+4m2=−4m2+39+4m2

3m=39

Step 3: Divide both sides by 3.

3m/3=39/3

m=13

D) Let's solve your equation step-by-step.

5x(x+3)=x(5x−3)+36

Step 1: Simplify both sides of the equation.

5x2+15x=5x2−3x+36

Step 2: Subtract 5x^2 from both sides.

5x2+15x−5x2=5x2−3x+36−5x2

15x=−3x+36

Step 3: Add 3x to both sides.

15x+3x=−3x+36+3x

18x=36

Step 4: Divide both sides by 18.

18x/18=36/18

x=2

2/5 divided 1/2 as a unit rate

Answers

Answer:

2/5 divided 1/2 as a unit rate .what do you mean

2/5 divided 1/2 is 3/7 as a unit rate

34+987=what please help

Answers

Answer:

1021

Step-by-step explanation:

i added 34 +987 and got 1021

1021 because 34+987= 1021

The segment with endpoints (-1,4) & (2,8) has a distance of

Answers

Answer:

5

Step-by-step explanation:

(X1,Y1) = (-1,4)

(X2,Y2) = (2,8)

solve this equation
3x+6=-2-2x

Answers

Answer:

x = -8/5

x = -1.6

Step-by-step explanation:

3x+6=-2-2x

Add 2x to each side

3x+2x+6=-2-2x+2x

5x+6 = -2x

Subtract 6 from each side

5x+6-6 = -2-6

5x= -8

Divide each side by 5

5x/5 = -8/5

x = -8/5

x = -1.6

K(h-j)+10’ if h= 7, j=-8, and k=5

Answers

Answer:

49

Step-by-step explanation:

5(7-8)+10

49

it's equals 49

Write the next 4 digits in the repeating decimal 4.715

Answers

Answer:

4.7157157

Step-by-step explanation:

because it is a repeating decimal, it will repeat the terms that come first such as 715.

Please help. I don’t understand this math problem.

Answers

Answer:

(7) The value of -j is 9.

(8) The value of -(-j) is -9.

(9) The value of (-j)(-j) is 81.

Step-by-step explanation :

Part 7:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j).

-j = - (-9) = 9

The value of -j is 9.

Part 8:

Given algebraic expression is:

j = -9

Now we have to determine the value of -(-j).

- (-j) = - [-(-9)] = -9

The value of -(-j) is -9.

Part 9:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j)(-j).

(-j)(-j) = [- (-9)] ×  [- (-9)] = 9 × 9 = 81

The value of (-j)(-j) is 81.

What is the sum?

−1.5+1.9

Enter your answer, as a decimal, in the box.

Answers

Answer:

0.4

Step-by-step explanation:

Answer: it's 0.4 as a decimal

Step-by-step explanation:

108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)

Answers

Answer:

-44

Step-by-step explanation:

108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)

= 108 ÷ 9 x (-12) ÷ 6 - (20)

= 12 x (-12) ÷ 6 - (20)

= -144÷ 6 - (20)

= -24 - (20)

= -44

Help please TYSM IF YOU DO!

Answers

Answer:

I think it is mean

Step-by-step explanation:

because mean would be the average of the scores

Answer: The mean

Step-by-step explanation:

The mean will show the average of the teams scores.

During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?

Answers

Answer:

Step-by-step explanation:

$0.30

Step-by-step explanation:

1 bar of candy = $0.20

3 bars of candy = $0.50

To solve, multiply for both:

If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:

9 x 0.20 = $1.80

If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:

9/3 = 3

3 x 0.50 = $1.50

Subtract the total cost of the individual from the pack:

$1.80 - $1.50 = $0.30

. $0.30 is your answer.

Answer to this PLEASE GOD BLESS YOU

Answers

Answer:

the answer to this question is b

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