Craig solves the following system of equations using the elimination method.

2x+4y=164x+8y=−16

He chooses to eliminate the variable y.

Which statement correct describes his process and solution?


A. Craig multiplies 2x + 4y = 16 by 2 and then adds the equations. He finds the result is an identity, so there are infinitely many solutions.

B. Craig multiplies 2x + 4y = 16 by 2 and then subtracts the equations. He finds the result is a contradiction, so there is no solution.

C. Craig multiplies 2x + 4y = 16 by 2 and then subtracts the equations. He finds the result is an identity, so there are infinitely many solutions.

D. Craig multiplies 2x + 4y = 16 by 2 and then adds the equations. He finds the result is a contradiction, so there is no solution.

Answers

Answer 1

Answer:

the answer is b. I know this because ima teacher.

Step-by-step explanation:

Answer 2

Craig multiplies 2x + 4y = 16 by 2 and then subtracts the equations. He finds the result is a contradiction, so there is no solution. The correct option is B.

What is system of equations?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between two or more variables.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Given equations are 2x+4y=16 and 4x+8y=−16. The equations will be solved as below,

2x+4y=16

4x+8y=−16

Multiply the first equation by 2 and solve,

4x+8y=16

4x+8y=−16

Therefore, Craig multiplies 2x + 4y = 16 by 2 and then subtracts the equations. He finds the result is a contradiction, so there is no solution. The correct option is B.

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Related Questions

PLEASE HELP 4) Moira plans to deposit $1000 into a bank account and leave it in the bank to gather interest for 5 years. She
researches the interest rates at two banks. Her findings are in the table below.
Bank A
interest rate: 4%
compounded monthly
A = P (1+r/n)nt^
Bank B
interest rate: 4%
compounded continuously
A = Pe^rt

Compute the amount of money that Moira would have in each bank after 5 years. Which bank should Moira
Choose and why?

Answers

Answer:

Compounded continuously $221.40  Compounded monthly $221.00  Moira should pick bank B with a total of $1221.40 - Moira will earn more with Bank B.

what does the g in 5 = g/8 ?​

Answers

Answer:

UMM WHAT

Step-by-step explanation:

Alberto invests his $90 for 2 years at r % per year simple interest.
At the end of 2 years the amount of money he has is $99.
Calculate the value of r.

Answers

Answer:

rate=55 percent

Step-by-step explanation:

SI=PRT

p=90

r=?

t=2

si=99

R=SI÷PT

R=99÷90×2

r=99÷180=0.55

r=0.55×100

R=55%

easy question i just dont know how to do it! help immediately will give brainliest thanks!!!

Answers

Answer:

I can do this faster than you can flick your bean

An angle is geometric figure that consists of

Answers

Answer:

the union of two rays that share a common endpoint.

Step-by-step explanation:

Answer:two rays that share a common end point

Step-by-step explanation:

Please help :) (10 points)

Answers

I think the answer
Is 273

Answer:

I think it is 256 you take3×-23 you get 20× then you minus the 2 and to end up with 18 then you times it by 3 and you and up with 72×

3. Sarah just got back from a vacation. She had been traveling for 3 days, driving 8 hours each
day. How many hours altogether was she in the car?

Answers

Answer:

some people answered it

y = 1/2x + 8
What does x equal?

Answers

X=-16 should be the answer :)

x= -16

substitute y=0

0=1/2x+8

multiply both sides

=0=x+16

move the variable to the left

-x = 16

change the signs

final ; x = -16

The issue of capital punishment is a hotly debated topic. Do more Republicans than Democrats support capital punishment? A researcher randomly selects 100 republicans and 100 democrats and asks them if they support or do not support capital punishment. In this problem, we want to make inferences about:

A. one meanB. comparing means from dependent samplesC. comparing means from two independent samplesD. one proportionE. comparing proportions from two independent samplesF. comparing proportions from dependent samples

Answers

Answer:

E. comparing proportions from two independent samples

Step-by-step explanation:

First of all, we have two different populations: Republicans (group A) and Democrats (group B). We want to be able to compare if group A favors/likes certain policy more than group B. In order to do so, we must take independent samples from each population. Only after we have processed our data and calculated the results, can we compare between both groups.

What's a real number between -1/10 and 0?

Answers

Answer:

The answer is at the bottom!!

Step-by-step explanation:

And All of those Natural Numbers will be starting with 1 so we will be having other Numbers as well on which No Number will be mapped like 2 or 211 or 79 So This Means Set of Natural Numbers is Grater then Real Numbers Between 0 and 1. So Set of Real Numbers Between 0 and 1 is Countably Infinite.

Hope this helps!!

Find the arithmetic of the numbers 109, 113, 56, 87, 39, 68, 116, 79, 111, 91, 78, 121, 56

Answers

56 would be your answer because it’s the lowest number

The arithmetic of the given numbers should be considered as the 86. In this, we basically take an average.

Calculation of the average:

Since the sequence is 109, 113, 56, 87, 39, 68, 116, 79, 111, 91, 78, 121, 56

And, if we count it so it is 12

Now we have to add all of these

= 109 + 113 + 56 + 87 + 39 + 68 + 116 + 79 + 111 + 91 + 78 + 121 + 56

= 1,124

Now the arithmetic should be

[tex]= 1124 \div 13[/tex]

= 86

hence, The arithmetic of the given numbers should be considered as the 86. In this, we basically take an average.

Learn more about number here: https://brainly.com/question/24294485

Students can buy up to 10 books at a book fair. The cost of the books is
shown in the graph. What is the domain of this graph?
Cost of Books
110
10
80
70
2345 6789 10 11
Number of books

Answers

Answer:

C. All whole numbers from 0 to 10

Step-by-step explanation:

Options:

A. All nonnegative real numbers

B. All rational from 0 to 10

C. All whole numbers from 0 to 10

D. All real numbers

Given:

A student can not buy more than 10 books.

The domain is the x-axis which is the number of books.

You can not buy half or a fourth of a book.

Nonnegative real numbers  would include 0.1, 0.2, 0.3, 0.4, 1.5, etc.

Rational numbers from 0 to 10  would include integers, fractions, and repeating decimals which include 1/3, 2/4, 3/4, 6/5, etc.

Whole numbers from 0 to 10 would include integers and a rational.

Real numbers include negative number, but the students are not selling books.

what is the slope? Rise/Run​

Answers

Answer: divided by 3

Step-by-step explanation: x is rise y is run

Answer:

The answer is 1/3

Step-by-step explanation:

y2 - y1 0 - (-1)

_______ = ______ = 1/3

x2 - x1 0 - (-3)

PLS I NEED HELP BRAINLIEST IS UP FOR GRABS
I don’t need the answer I need to know how to do it (but the answer would be greatly appreciated) BUT THE ANSWER IS NOT REQUIRED I would just like to know how to write an inequality for this

Answers

Answer:

(a) x > 4   (b) y < -2

Step-by-step explanation:

Domain is referring to the x-values while the range is referring to the y-values.

Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.

The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.

Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.

the ndhevekenevegegrrjeveecrxzrtxtj4ejeobde ecsudddje​

Answers

Answer:

yes

Step-by-step explanation:

A punch recipe calls for 26 liters of lemon lime soda and 14 gallons of
vanilla ice cream. If Tanya wants to make this recipe, but she only has 7 gallons of
vanilla ice cream, how much lemon lime soda will she need?

Answers

13 liters of lemon lime soda.

Find the slope between (4,-8) and (-1,3).

Answers

Answer:

7

Step-by-step explanation:

(4, -8) and (-1, 3), formula used will be [tex]y_{1}-y_{2}[/tex]/[tex]x_{1} -x_{2}[/tex] so:

-1 - (-8)/3 - 4 = -1 + 8/1 = 7/1 = 7

i edited my answer a few times cause i read the points wrongly so just know that this is the correct one.

What is 10log3 in precalculus

Answers

WHEN WE ARE GIVEN the base 2, for example, and exponent 3, then we can evaluate 23.

23 = 8.

Inversely, if we are given the base 2 and its power 8 --

2? = 8

-- then what is the exponent that will produce 8?

That exponent is called a logarithm.  We call the exponent 3 the logarithm of 8 with base 2.  We write

3 = log28.

We write the base 2 as a subscript.

3 is the exponent to which 2 must be raised to produce 8.

A logarithm is an exponent.

Since

104 = 10,000

then

log1010,000 = 4.

"The logarithm of 10,000 with base 10 is 4."

4 is the exponent to which 10 must be raised to produce 10,000.

"104 = 10,000" is called the exponential form.

"log1010,000 = 4" is called the logarithmic form.

Here is the definition:

logbx = n   means   bn = x.

That  base  with that  exponent  produces x.

Example 1.   Write in exponential form:   log232 = 5.

Answer.   25 = 32.

  Example 2.   Write in logarithmic form:  4−2  =    1

16 .

  Answer.   log4  1

16  = −2.

Problem 1.   Which numbers have negative logarithms?

To see the answer, pass your mouse over the colored area.

To cover the answer again, click "Refresh" ("Reload").

Do the problem yourself first!

Proper fractions.

Lesson 20 of Arithmetic

Example 3.   Evaluate  log81.

Answer.   8 to what exponent produces 1?  80 = 1.

log81 = 0.

We can observe that, in any base, the logarithm of 1 is 0.

logb1 = 0

Example 4.    Evaluate  log55.

Answer.   5 with what exponent will produce 5?   51 = 5.  Therefore,

log55 = 1.

In any base, the logarithm of the base itself is 1.

logbb = 1

Example 5 .   log22m = ?

Answer.   2 raised to what exponent will produce 2m ?   m, obviously.

log22m = m.

The following is an important formal rule, valid for any base b:

logbbx = x

This rule embodies the very meaning of a logarithm.  x -- on the right -- is the exponent to which the base b must be raised  to produce bx.

The rule also shows that the exponential function bx is the inverse of the function logbx.  We will see this in the following Topic.

  Example 6 .   Evaluate  log3  1

9 .

 Answer.    1

9  is equal to 3 with what exponent?    1

9  = 3−2

log3  1

9   =   log33−2  =  −2.

Compare the previous rule.

Example 7.   log2 .25 = ?

Answer.   .25 = ¼ = 2minus2.  Therefore,

log2 .25 = log22−2 = −2.

Example 8.   log3Logarithms = ?

Answer.   Logarithms = 31/5.  (Definition of a rational exponent.)  Therefore,

log3Logarithms = log331/5 = 1/5.

Problem 2.   Write each of the following in logarithmic form.

To see the answer, pass your mouse over the colored area.

To cover the answer again, click "Refresh" ("Reload").

  a)     bn = x    logbx = n      b)     23 = 8    log28 = 3

  c)     102 = 100    log10100 = 2      d)     5−2 =  1/25.    log51/25 = −2.

Problem 3.   Write each of the following in exponential form.

 a)   logbx = n    bn = x   b)   log232 = 5    25 = 32

 c)   2 = log864    82 = 64   d)   log61/36 = −2    6−2 = 1/36

Problem 4.   Evaluate the following.

 a)   log216   = 4   b)   log416   = 2

 c)   log5125   = 3   d)   log81   = 0

 e)   log88   = 1   f)   log101   = 0

Problem 5.   What number is n?

 a)   log10n = 3   1000   b)   5 = log2n   32

 c)   log2n = 0    1    d)   1 = log10n    10

 e)   logn   1

16  = −2    4      f)   logn  1

5  = −1    5

 g)   log2   1

32  = n   −5      h)   log2 1

2  = n    −1

Problem 6.   logbbx  =  x

Problem 7.   Evaluate the following.

 a)   log9 1

9    = log99−1 = −1

 b)   log9  1

81    = −2     c)   log2 1

4    = −2

 d)   log2 1

8    = −3     e)   log2  1

16    = −4

 f)   log10 .01  = −2     g)   log10 .001  = −3

 h)   log6Logarithms   = 1/3     i)   logbLogarithms = 3/4

An astronaut who weighs 126 pounds on Earth weighs only 21 pounds on
the moon. How much would a person who weighs 31 pounds on the moon
weigh on Earth? Show your work to receive full credit.

Answers

Answer:

186 pounds

Step-by-step explanation:

let x = pounds on Earth

set up a proportion:  [tex]\frac{126}{21}[/tex] = [tex]\frac{x}{31}[/tex]

cross-multiply:  21x = 3906

divide by 21:   x = 186

Answer:

186 pounds.

Step-by-step explanation:

By proportion 126/21 =  x/31

6 = x/31

x = 6*31

= 186 pounds.

Leon opened a savings account at the beginning of the year so that he would have money to spend during summer vacation. He started the account with $125, and he deposits $10 each week. How long will it take him to save exactly $375?

Answers

Answer:

it would be 25 weeks, hope this helps

Step-by-step explanation:

125+50=175--5 weeks

175+200=375--20 weeks

PLZ HELP ME ON THIS MATH I HAVE DONE IT 4 TIMES AND MADE2 25% and 1 45% so i really need help its worth 100 points

Answers

Answer:

Whats the question?

Step-by-step explanation:

The answer is A: 74 m^2

Find the unit rate

24 roses in 4 vases

Answers

Answer:
6

Explanation:
24 / 4 = 6

A store sells a pack of 24 AA batteries for $13.20. What is the cost per battery?

Answers

$13.20 divided by 24 is $0.55
so it is $0.55 per battery

Answer:

0.55 dollors

Step-by-step explanation:

13.20 divided by 24

=$0.55

Find the inequality represented by the graph. If you don’t know, don’t answer.

Answers

This is the inequality that is represented by the graph.

I took a screenshot of your question and I took it one of tutors on here so you can get it quicker!

Use____to isolate the variable

Answers

Answer:

inverse operation(s)

Step-by-step explanation:

If Jace had 77 blue pens,23 red pens 15 pink pens and 4 purple pens what is the part to whole ratio for red pens to all of the pens?

Answers

Answer:

23:119

Step-by-step explanation:

all pens:

77 blue + 23 red + 15 pink + 4 purple

77 + 23 + 15 + 4 = 119

119 total pens

23 red / 119 total

23/119

23 is prime, so this cannot be simplified further

the ratio of red : total pens is 23:119

Answer:

23 to 119 (23:119)

Step-by-step

you first have to add all of the pens together and then take the number of red pens and make that a ratio

Solve for x. 10 + 5x +4 = -2x + x + 2

Answers

9514 1404 393

Answer:

  x = -2

Step-by-step explanation:

Collect terms.

  14 +5x = -x +2

Add x-14

  6x = -12

Divide by 6

  x = -2

The answer is x = -3

Plz help me this is due today

Answers

josh could say the blueberries weigh 3 fifths of a pound assuming he rounds down

1. Which list shows the numbers in increasing
order?
A-3, -2.25 -2.5, -1,0
B -3, -2.5, -2.25, -1,0
C 0,-1, -2.25, -2.5, -3

Answers

Answer:

B

Step-by-step explanation:

2.5 is smaller than 2.25 because 2.5 = 2.50

Please find the value of x and y.​

Answers

Answer:

x = 11

y = 3

Step-by-step explanation:

ΔTUV ≅ Δ HJK

JK = UV    {Corresponding parts of congruent triangles}

2x - 4 = 18

      2x = 18 + 4

      2x = 22

         x = 22/2

         x =  11

HK = TV

6y - 5 = 4y + 1           {Subtract 4y form both sides}

6y - 5 - 4y = 1

      2y - 5 = 1        {Add 5 to both sides}

           2y = 1 + 5

          2y = 6

            y = 6/2

            y = 3

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