Write an expression in the form ax+b, where a and b represent rational numbers, that is equivalent to 6 (-1/2x + 2) + 1/4 (18x-12)


I need this answered by today, please!!

Answers

Answer 1

Answer:

[tex]6x + 6[/tex]

Step-by-step explanation:

Given

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]

Required

Express as [tex]ax + b[/tex]

We have:

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]

Open brackets

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6 *-\frac{1}{2}x + 6*2 + \frac{1}{2} *18x-\frac{1}{2} *12[/tex]

Evaluate all multiplications

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = -3x + 12 + 9x-6[/tex]

Collect like terms

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 9x-3x + 12-6[/tex]

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6x +6[/tex]

Hence, the expression in form of [tex]ax + b[/tex] is [tex]6x + 6[/tex]


Related Questions

HELP ITS URGENT
a. b. c. or d.???

Answers

Answer:

It's the last option, (a-c)√x + b√y

Step-by-step explanation:

Andrea is selling scooters. This equation shows how Andrea's revenue () depends on the number of scooters sold (x). y = 4x How much revenue does Andrea get for each scooter?​

Answers

Answer:

Andrea get for each scooter?​

Step-by-step explanation:

Which of the following phrases describes the expression 12−2x?

A
2 times a number decreased by 12

B
2 decreased by 12 times a number

C
a number times the quantity 12 decreased by 2

D
12 decreased by 2 times a number

Answers

Answer:

D

Step-by-step explanation:

it's self explanatory

12 is being decreased by 2x (x is a variable for a number)

which of the following mean the same as x-intercept?

Answers

Answer:

(A), (D), and (E)

Step-by-step explanation:

In a quadratic function, the solutions are always on the x-axis, which means that it can be another word for x-intercept. Also, a zero and a root are the same thing, and they are both x-intercepts. Hope this helps!

I need help on this question pls help see this A.S.A.P

Answers

Answer:

A, E

Step-by-step explanation:

a quadrilateral is a four-sided figure.

it is a square

57:50
What is the solution to the equation?
-9
a+53 -
3+53-9
a-
at
9
a
a+

Answers

Answer:

a-

Step-by-step explanation:

hi

Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches

Answers

The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.

To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.

In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:

diagonal = √(side^2 + side^2 + side^2)

Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:

diagonal = √(7^2 + 7^2 + 7^2)

diagonal = √(49 + 49 + 49)

diagonal = √147

diagonal ≈ 12.124 inches

Therefore, the correct answer is:

12 inches

This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.

For more such questions on metal rod

https://brainly.com/question/14071390

#SPJ8

find the distance.show your work.
intial velocity is 30.20 meter per second and time Is 32.8 second​

Answers

Answer:

990.56

Step-by-step explanation:

because, Distance=velocity× time

Can someone please help me

Answers

its f^8!!!!!!!!!!!!!!
You add up the powers to get f^8
Hope this helps

True or false
You always have to use x and y as your variables when writing
equations for word problems.

Answers

Answer:

false

Step-by-step explanation:

you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something


Sharon filled the bathtub with 38 gallons of water. How many quarts of water did she put in the bathtub?

Answers

Answer:

152 US quarts

Step-by-step explanation:

4 x 38 = 152

quarts = 4 of something

Answer:

152

Step-by-step explanation:

38 x 4 = 152

I need help! would appreciate it

Answers

Answer:

X is about 58.41 degrees

Step-by-step explanation:

For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.

Therefore, with the equation for sine, we would get

sin(x) = 23/27

sin(x) = 0.851

Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.

x = sin-1 23/27

Last, use a calculator to get the answer.

X is about 58.41 degrees

Mike saves $42 a week for 7 weeks. During his 8-day vacation, he plans to spend $8.25 each day for snacks. Which expression shows how much money he will have left?

Answers

Answer:

($42 × 7)  - ($8.25 × 8)

Step-by-step explanation:

Given that

Mike saves $42 a week for 7 weeks

And, his 8 day vacation, he plans to spend $8.25 each day

We need to find out the expression of how much he would have left

So,

Since the amount $42 is for a week

So for 7 weeks, it would be

= $42 × 7

And, he spends $8.25 each day,

And, for 8 days, it would be

= $8.25 × 8

So, the expression is

= ($42 × 7)  - ($8.25 × 8)

36/9+2/9 fraction adding!!!

Answers

Answer: 38/9

Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).

how do we say the expression in words?


can somebody help me pls rn

Answers

Answer:

Step-by-step explanation:

1 Escritura unida

Según la NGLE se unen las palabras que se interpretan como una unidad y en las que, por tanto, la marca de plural solo afecta al último elemento:[1]

el bajorrelieve, los bajorrelieves

la mediapunta, las mediapuntas

En un buen número de casos, el primer elemento puede seguir teniendo individualidad para parte de los hablantes y admitir la marca del plural. La Gramática admite algunos de esos casos, de modo que las dos formas son posibles, que se escribirán unidas o separadas según se dé ese plural o no:

el puercoespín, los puercoespines; el puerco espín, los puercos espines

el arcoíris, los arcoíris; el arco iris, los arcos iris

el medioambiente, los medioambientes; el medio ambiente, los medios ambientes.

el pavorreal, los pavorreales; el pavo real, los pavos reales

La Gramática prefiere, como norma general, la forma en una palabra.

Please help!
Acellus
Find the volume of the following
square pyramid.
6 cm
6 cm
6 cm
V = [?] cm3
Enter

Answers

Answer: 72

Step-by-step explanation:

V=1/3bh

B= 6*6= 36

H=6

1/3*36*6

Answer: 72

Step-by-step explanation: 6*6*6/3

A dog shelter had 19 puppies last month. This month, 38 puppies are at the shelter. What is the percent of change?

im in 7th grade

Answers

Answer:

I believe the answer MAY be 1.9%

yeah what notsosmartxo said

Find the missing term: (x+3)² = x² + 6x + _____

Answers

Answer:

9

Step-by-step explanation:

The formula for (a + b)^2 expands out to: a^2 + 2ab + b^2. In the case of this problem, a equals x and b equals 3. We can substitute to get:

(a + b)^2 = a^2 + 2ab + b^2

(x + 3)^2 = x^2 + 2(x)(3) + (3)^2

(x + 3)^2 = x^2 + 6x + 9

So, the missing term is 9.

Another way to do this is to multiply (x + 3)(x + 3) since it's the same thing:

(x + 3)(x + 3)

x^2 + 3x + 3x +9

x^2 + 6x + 9

By solving this way, you get the same answer.

Answer:

It would be 9.

Step-by-step explanation:

To do this, lets expand the equation (x+3)^2 by turning it into:

(x+3)(x+3)

Now, lets try something called the FOIL method. This is where all of the terms of the equation are multiplied in the order:

1) First

2) Outer

3) Inner

4) Last

So in (x+3)(x+3), each of the first parts of each parentheses box are x's, and x times itself equals x^2 so:

x^2 + ? + ? so far.

Next, with the Outer & Inner parts, they would be x * 3 and 3 * x. With this, you would get 3x and 3x. These can be added to get 6x, the middle part of the equation.

x^2 + 6x + ? so far.

Lastly, for the answer. Time to do the last part of each parentheses box, you would get 3 * 3, which gives you 9.

x^2 + 6x + 9.

Dakota earned ​$8.75 in interest in Account A and ​$28 in interest in Account B after 21 months. If the simple interest rate is 3% for Account A and ​4% for Account​ B, which account has the greater​ principal?

Answers

so B should be the answer

Step-by-step explanation:

account a would have 16.42 in their account after 21 months and b would have 64.77 after 21 months also

PLSSSSSSSSSSS ANSWER FASSTTT!!!!!!

Answers

Answer:

the only solution is 0

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2(x+3)=2x+6

Multiply 2 with the numbers in the parenthesis

2x+6=2x+6

If you flip a coin and roll a six sided die what is the probability that you will flip a heads and roll at least a three

Answers

Answer:

1/3

Step-by-step explanation:

H3,H4,H5,H6

p=1/2×1/6+1/2×1/6+1/2×1/6+1/2×1/6

=4×1/2×1/6=1/3

April has 5 milligrams of zinc and 0.25 milligrams of copper. How much more zinc does she have than copper?​

Answers

Answer:

the answer is 4.75

Step-by-step explanation:

5-0.25=4.75

37 1/2 of 56 in percent?

Answers

Answer:

hi. im looking for fr33 p01nts. hope u understand. it could also help if u would give brain1est.

Step-by-step explanation:

Patti records the heights and the shoe sizes of the girls on her volleyball
team. She plots the data and makes a scatterplot comparing shoe size and
height. Patti finds that the trend line that best fits her results has the equation
y= 2x + 52.
If a girl on her team wears a size 3 shoe, how many inches tall would Patti
expect her to be?
A. 58 inches B. 60 inches. C. 64 inches D. 62 inches

Answers

Answer:

58 inches

Step-by-step explanation:

Just did it

Answer:

( A ) p 3 x

Step-by-step explanation:

Robert paid $41.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents? Type in your answer without the '$' sign.

Answers

Answer:

10.25

Step-by-step explanation:

hope this helps with the problem

10.25 (ten dollars and twenty five cents)

The perimeter of a rectangular building is 462 meters. It is 131 meters long. How wide is it?

Answers

100 metres

131 x 2 = 262
462 - 262 = 200
200 / 2 = 100

g(n) = n2+ 2; Find g(3)

Answers

Answer: 8

Step-by-step explanation: in this problem n=3 so you are to substitute 3 in for the variable n.

3*2+2

3*2=6

6+2=8

g(3)=8

Hope this helps (^_^)

Answer:

8

Step-by-step explanation:

g(3) means to plug 3 in as the n-value

g(3)= (3)2+2

=6+2

g(3)=8

Hey I need help, what is the area of this!

Answers

Answer:

12 cm^2

Step-by-step explanation:

Here the base and height of a triangle are given.  To find the area, we use the formula A = (1/2)(base)(height), which here is

A = (1/2)(8 cm)(3 cm) = 12 cm^2

what are the inequalities​

Answers

15 - 5
14 - 5
13 - 5
12 - 5
11 - 5
10 - 5
9 - 5
8 - 5
7 - 5
6 - 5
5 - 5

I’m not sure if this was the answer you were looking for but I hoped it helped

Answer:

an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.

PLZ HELP!!! I got the 1 of the answers but I can't seem to figure out the other.

Answers

Answer:

It would be 11 since in the equation 11(x+3), you would need to multiply 11 * x along with 11 * 3 to get your answer.

Full Answer: 11x+11*3

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