1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kirill [66]
3 years ago
11

How come this person didn’t divide EVERYTHING on the left by 2? I thought you had to...

Mathematics
1 answer:
damaskus [11]3 years ago
5 0

The short answer is that algebra doesn't work that way. You wouldn't divide *everything* by 2, but every term that contains a factor of 2.

In the expression

2 (6<em>x</em> - 1) + 2 (2<em>x</em> + 5)

both terms have a factor of 2 (the 2 out in front of them). They're the ones that get canceled when dividing by 2:

(2 (6<em>x</em> - 1) + 2 (2<em>x</em> + 5)) / 2 = 2/2 (6<em>x</em> - 1) + 2/2 (2<em>x</em> - 5)

… = 1 (6<em>x</em> - 1) + 1 (2<em>x</em> - 5)

… = (6<em>x</em> - 1) + (2<em>x</em> - 5)

and so on.

Looking ahead, it turns out that the equation is solved by <em>x</em> = 7. This makes 6<em>x</em> - 1 = 41 and 2<em>x</em> + 5 = 19. So the equation is saying that, if you make these replacements,

2×41 + 2×19 = 120

If you divide *everything* on the left by 2, you end up with fractions:

(2/2)×(41/2) + (2/2)×(19/2) = 41/2 + 19/2

but 41 + 19 = 60, so the end result would be 30, but that's not the same as 120/2 = 60.

You might be interested in
14.4 A Book and a Cake A book costs $45. Sales tax on the book is 7%. Write two different expressions that represent the final c
snow_tiger [21]

Answer: 1. $45*1.07 | $45(1.07) 2. (0.85)*32 represent the final price of the cake in dollars because (0.85) is the 15% off in decimals.

Step-by-step explanation:

1 if you multiply 45 by 1.07 it will be 48.15 and that's the final cost of the book, same with $45(1.07) is just another way to represent the multiplication.

2 As I said the 0.85 represent the 15% off, and when you multiply it will be less.

3 0
3 years ago
The Product of 2 rational numbers with different signs is a _________ number
likoan [24]

Answer:

first blank negitave

second blank positive

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I need the work and the answers
serg [7]

Answer:

.

Step-by-step explanation:

4 0
3 years ago
A number picked at random from the numbers 1 through 15 is prime. This "question" is on my study guide for Unit 6 Probability an
Sphinxa [80]

Solution:

we are given that

A number picked at random from the numbers 1 through 15 is prime.

As we know the number between 1 and 15 which are primes are listed below

2,3,5,7,11,13.

Here total number of favourable outcomes are 6.

The numbers 1 through 15 are as below:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15.

Here total number of possible outcoes are 15.

Hence the probability that if a number picked at random from the numbers 1 through 15 is prime=\frac{6}{15}=\frac{2}{5}=0.40

Hence the probability that if a number picked at random from the numbers 1 through 15 is prime is 0.4

6 0
3 years ago
Read 2 more answers
 PLEASE HELPPPPP ME PLEASE I DONT KNOW WHAT TO DO ☹️#7
nirvana33 [79]

Given:

The function is:

f(x)=-2x+5

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

f(x)=-2x+5

Step 1: Substitute f(x)=y .

y=-2x+5

Step 2: Interchange x and y.

x=-2y+5

Step 3: Isolate variable y.

2y=5-x

y=\dfrac{5-x}{2}

Step 4: Substitute y=g(x).

g(x)=\dfrac{5-x}{2}

Hence, the inverse of the given function is g(x)=\dfrac{5-x}{2} and the graphs of these functions are shown below.

8 0
3 years ago
Other questions:
  • An urn contains 3 red, 8 yellow and 13 green balls; another urn contains 5 red, 7 yellow and 6 green balls. We pick one ball fro
    13·1 answer
  • Expand and simplify 2(3x-5)+3(2x+3)
    14·2 answers
  • Jeremy bought a new truck for $32,000. The value of the truck after t years can be represented by the formula V = 32,000(.8)t. W
    7·1 answer
  • PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
    12·1 answer
  • WILL GIVE BRAINLIEST. PLEASE HELP. In order to inscribe a circle in a triangle, the circle's center must be placed at the incent
    15·2 answers
  • Please help!
    11·1 answer
  • Please help important I need now​
    9·2 answers
  • If 2x -3y = 3 then find 16x 64y =?​
    6·2 answers
  • II. Direction: Rewrite using exponent.
    11·2 answers
  • 14. Mashud and Iqbal are security guards at a top secret federal vault. They each work 8 hour shifts, consecutively. If Mashud b
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!