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
Gala2k [10]
2 years ago
6

Guys please which one is the right answer

Mathematics
2 answers:
kirza4 [7]2 years ago
8 0

Answer: I think the answer is B

Step-by-step explanation:

8(x-4) = 8(1-4) = 8-32

2(4x-16) =2(4*1-16) = 8-32

8(x-4) = 8(2-4) = 16-32

2(4x-16) = 2(4*2-16) = 16-32

Zepler [3.9K]2 years ago
6 0

Answer:

B. Infinitely many solutions.

Step-by-step explanation:

8(x - 4) = 2(4x - 16)

^--This is the original equation.

If we replace x with 1...

we have the same equation, but we add an extra set of brackets. (You'll see why in a second)

8(1 - 4) = 2{4(1) - 16}

1 - 4 = -3

We start by subtracting 4 from 1. When using positive numbers, we can't do this, however. This gets us to -3. leave it in the parenthesis though!

8(-3) = 2{4(1) - 16}

4(1) = 4

Now, the reason we made an extra set of brackets is because 4x is asking you to multiply 4 by x. but as a number, you have to make an extra set of parenthesis to show that. 4 x 1 = 4 so it stays as a 4.

8(-3) = 2(4 - 16)

^-- Now, we are given this new equation. We'll move away from 8(-3) for just a second, to finish the other parenthesis. But still don't remove the parenthesis for 8(-3)!

4 - 16 = -12

We know that 4-16 would also not be possible with positive numbers, but for this equation, as said before.. you're using negative numbers. so 4 - 16 = 12

8(-3) = 2(-12)

^-- And again, we have a new equation. 8(-3) = 2(-12). Don't remove the parenthesis, as I have said before.

8(-3) = -24

Again, the equation shows with parenthesis, it wants us to multiply. Now we take 8, and multiply it by -3. This is a bit tricky, as it is with negative numbers. But in the end, you should have -24.

-24 = 2(-12)

^--The equation becomes -24 = 2(-12). We'll have to multiply again, so keep the parenthesis.

2(-12) = -24

2(-12) Is also asking you to multiply, so now we do the same as before, which again, is a bit tricky because we are using negative numbers. You should end up with -24 though.

-24 = -24

^--Now, you have -24 = -24. This is true since both are the same number.

8(x - 4) = 2(4x - 16)

^-- Here's our wonderful equation again! Let's replace X with a 2 this time!

If you don't understand, read the tips from above to understand what I'm doing in the following equations!

8(2 - 4) = 2{4(2) - 16}

2 - 4 = -2

8(-2) = 2{4(2)-16}

4(2) = 8

8(-2) = 2(8 - 16)

8 - 16 = -8

8(-2) = 2(-8)

8(-2) = -16

-16 = 2(-8)

2(-8) = -16

-16 = -16

And again, we get the same two numbers!

Hope I helped! <3

You might be interested in
Part 1: Write mathematical equations of sinusoids.
Ilya [14]

Answer:

Part 1: Write mathematical equations of sinusoids.

1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.

a) What is the phase shift, c, of this curve? (2 points)

b) What is the vertical shift, d, of this curve? (2 points)

c) What is the amplitude, a, of this curve? (2 points)

d) What is the period and the frequency factor, b, of this curve? (2 points

e) Write an equation using the cosine function that models this data set. (5 points)

2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to

model the curve using the sine function

Step-by-step explanation:

<em> </em><em>p</em><em>l</em><em>z</em><em> </em><em>f</em><em>o</em><em>l</em><em>o</em><em>w</em><em> </em><em>m</em><em>e</em>

5 0
3 years ago
If I chose a number uniformly from the integers from 1 to 25, calculate the conditional probability that the number is a multipl
topjm [15]

Answer:

<h2>1/7</h2>

Step-by-step explanation:

If I choose a number from the integers 1 to 25, the total number of integers I can pick is the total outcome which is 25. n(U) = 25

Let the probability that the number chosen at random is a multiple of  6 be P(A) and the probability that the number chosen at random is is larger than 18 be P(B)

P(A) = P(multiple of 6)

P(B) = P(number larger than 18)

A = {6, 12, 18, 24}

B = {19, 20, 21, 22, 23, 24, 25}

The conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is expressed as P(A|B).

P(A|B) = P(A∩B)/P(B)

Since probability = expected outcome/total outcome

A∩B = {24}

n(A∩B) = 1

P(A∩B) = n(A∩B)/n(U)

P(A∩B) = 1/25

Given B = {19, 20, 21, 22, 23, 24, 25}.

n(B) = 7

p(B) = n(B)/n(U)

p(B) = 7/25

Since P(A|B) = P(A∩B)/P(B)

P(A|B) = (1/25)/(7/24)

P(A|B) = 1/25*25/7

P(A|B) = 1/7

<em></em>

<em>Hence the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is 1/7</em>

7 0
3 years ago
1+1? i'm just doing this to set up my acc lol
charle [14.2K]
2 ;) was this helpful? mark me as the best!
8 0
3 years ago
Read 2 more answers
Twelve dogs and cats receive 77 biscuits.
Andrews [41]

Answer:

6 dogs are there who ate the biscuits

8 0
3 years ago
Read 2 more answers
I need help with the problem
Kobotan [32]
There are 99 miles left.  43(7)=301.   400-301=99.
7 0
3 years ago
Read 2 more answers
Other questions:
  • One of the characteristics of legal English is _____.
    10·2 answers
  • What is the value of B after the equation A=3/7(B-25)
    9·1 answer
  • Every evening Jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she
    12·1 answer
  • A group of 12 people is traveling in three vehicles. If 4 people ride in each​ vehicle, in how many different ways can the peopl
    12·1 answer
  • 6a+2b-6c+4 if a=5,b=3,and c=-1
    14·2 answers
  • Help me solve this question please
    8·1 answer
  • What is (5,-4) y=-3/5+4
    8·1 answer
  • Which impooper fraction is equal to 3 1/2?
    14·1 answer
  • Pls help me i need it​
    13·1 answer
  • Isabella is travelling in Brazil during the summer, She knows that a 15-minute phone call home to her family costs $45.85 and a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!