Solve by completing the square:
x^2 + 2x - 3 =0
a. - 3 or 1
b. X-3 or -1
C. - 3 or -1
d. 2-3 or 1
Please select the best answer from the choices provided

Answers

Answer 1

Answer:

a

Step-by-step explanation:

Given

x² + 2x - 3 = 0 ( add 3 to both sides )

x² + 2x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 3 + 1

(x + 1)² = 4 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 1 from both sides )

x = - 1 ± 2

Thus

x = - 1 - 2 = - 3

x = - 1 + 2 = 1


Related Questions

Slope intercept of (-2,2) (0,-2)

Answers

Answer:

-4/2

Step-by-step explanation:

given the parallel lines cut by. a transversal , determine the value of x . please help due in 30 minutes

Answers

Answer:

x = 20

Step-by-step explanation:

The angles are same side interior angles so the add to 180

3x-10 + 5x+30 = 180

Combine like terms

8x +20 =180

Subtract 20 from each side

8x+20 -20 =180-20

8x = 160

Divide by 8

8x/8 =160/8

x = 20

Answer: x = 25

Step-by-step explanation:

When lines are parallel, the same side interior angles are supplementary, meaning they add up to 180 degrees. So to find x, you would add the two expressions and make it equal to 180 degrees.

3x - 10 + 5x + 30 = 180

8x - 20 = 180

8x = 200

x = 25

The answer is x=25

Y= 1/2x+5
2x + 3y = -6
Solution:

Answers

Answer:

ask your teacher

Step-by-step explanation:

What does * mean in mathematics?

Answers

Answer:

multiply

Step-by-step explanation:

for example:

4 * 5 = 20

other ways of writing multiply:

4 x 5 = 20

 4(5) = 20

Answer:

Usually in math it is used to indicate multiplication.

Step-by-step explanation:

Most of the time people will use * instead of x for multiplication on a calculator or computer.

Hope this helps. Plz give brainliest.

please help me im stuck .................

Answers

Answer: Choice A) Empty set

This is another way of saying "no solutions"

============================================

Explanation:

Your teacher made a typo. The given inequalities will have boundary lines that both have positive slopes, not negative slopes. So the boundary lines should go uphill as you move from left to right.

See the diagram below to see what the graph should look like.

The upper dashed line is y = (1/2)x+3. The lower dashed line is y = (1/2)x-2

The upper dashed line represents the boundary for y > (1/2)x+3. Region 1 is the set of solution points for y > (1/2)x+3

While the solution set for y < (1/2)x-2 is represented with region 3

There is no overlap between regions 1 and 3 due to the parallel boundary lines.

Put another way: there are no (x,y) points that are in both region 1 and region 3 at the same time.

So that's why there are no solutions to this system of inequalities.

---------------------

Alternative method:

Convert the first inequality into Ax+By > C form

y > (1/2)x+3

2y > x + 6 .... multiply both sides by 2

-x+2y > 6 ... subtract x from both sides

z > 6 .... let z = -x+2y

Convert the second inequality into Ax+By < C form

y < (1/2)x-2

2y < x - 4

-x+2y < -4

z < -4 .... let z = -x+2y

We have some number z that is both z > 6 and z < -4 at the same time, but no such number exists. So this is another way to see we have an inconsistent system with no solutions.

A recycling center was offering cash for different types of recyclables. For each pound of paper recycled they offered $1.41, for each pound of aluminum they offered $1.53 and for each pound of plastic they offered $0.33. Jerry took in 5 pounds of paper, 15 pounds of aluminum and 6 pounds of plastic. How much money did he earn?

Answers

Answer:

Total amount earn = $31.98

Step-by-step explanation:

Given:

Cost of paper = $1.41

Cost of aluminium = $1.53

Cost of plastic = $0.33

Amount of paper = 5 pound

Amount of aluminium = 15 pound

Amount of plastic = 6 pound

Find:

Total amount earn

Computation:

Total amount earn = ($1.41)(5) + ($0.33)(6) + ($1.53)(15)

Total amount earn = $7.05 + $1.98 + $22.95

Total amount earn = $31.98

This Equation has only one solution 5(x-1) +3x = 7(x + 1) its an emergancy

Answers

Answer:

12

Step-by-step explanation:

5(x-1) +3x = 7(x + 1)

5 × x - 5×1 + 3x = 7 × x + 7 × 1

5x-5+3x=7x+7

8x-5=7x+7

8x-7x=7+5

x=12

hope it helps you!!

how can you determine whether a fraction is larger or smaller than 1/4

Answers

If the fraction Has a lesser numerator

Evaluate the following expression when a = -3, b = 2, c = 5, and
d = -4.
2a + 3b

Answers

Answer:

2a + 3b = 0

Step-by-step explanation:

So we are given that a = -3, b = 2, c = 5, and d = -4 and we are asked to evaluate the expression 2a + 3b. To evaluate the expression, we would have to plug in -3 for a, 2 for b, 5 for c, and -4 for d:

2a + 3b = 2(-3) + 3(2) = -6 + 6 = 0

So by evaluating the expression we get 0.

I hope you find my answer and explanation to be helpful. Happy studying.

kjlwhdoqhwdoiqhwdohnvm

Answers

Kjiwhdoqhwoiqhwdohnvm


Pamela is 7 years older than Jiri. The sum of their ages is 53. What is Jiri's age?

Answers

Answer:

46

Step-by-step explanation:

if there ages in total  is 53 and pamela is 7 years older than jiri

53-7  would give u jiri age

pls help me! i will give u brainliest

Answers

Answer:

1st is rational 2nd is irrational 3rd is irrational 4th is rational 5th is irrational

Step-by-step explanation:

19. the sum of twelve and sixteen divided by the sum of three and four

Answers

Answer:

4

Step-by-step explanation:

Add 12 and 16 ( 28 ) then add 3 and 4 ( 7 ) lastly, you will divide 28 and 7 to get 4

See attachment for math work and answer.

2.
8
6
4
2
1
2
4
6
8
10
-2
-4
"6
"8
)
Domain
Range =
Function: Yes or No?

Answers

Answer:

Note that the range is only the elements that were used. Yes, the relation {(3,2), (4,1), (5,9), (6,12), (7,12)}is a function. No x-value repeats.

Step-by-step explanation:because is a function

For problems 1 & 2 determine favg [tex]f(x)=8x−3+5e2−x on [0,2][/tex]for the function on the given interval

Answers

Answer:

hellooooo

Step-by-step explanation:

mkay

"the advrage a of 2 numbers c and d is equal to half the sum of c and d " this whole qustion confuses the I am basically supposed to put it into a equation but it's just not clicking for me can you help?​

Answers

Answer:

[tex] \frac{c + d}{2} [/tex]

Step-by-step explanation:

this is the equation used to find the average of two numbers.

Four less than 5 times a number is the same as 26 more than twice the number.

Answers

Answer:

False

Step-by-step explanation:

5x - 4 versus 2x + 26

Imagine x equals 1, then the equations would be:

5(1) - 4 and 2(1) + 26

1 and 28 are not equivalent.

Another example would be x = 6

5(6) - 4 and 2(6) + 26

26 and 38 are not equivalent.

No matter what you replace x with, the expressions are never equal.

The following statement is an example of: every fall there have been hurricanes in the tropics. Therefore, there will be hurricanes in the tropics this coming fall.



Is it deductive, indutive reasoning or a conjecture.

Answers

Answer:

Deductive reasoning

Step-by-step explanation:

Here, we want to know the kind of reasoning the statement is.

In this question, the kind of reasoning is deductive

In the deductive reasoning type, we go from general cases to specific cases

It is just like saying the reason why there will be hurricanes in the tropics this fall is because there is an hurricane every fall

So we have gone from a general case to give a specific case

The kind of reasoning which is depicted by the statement given above is deductive reasoning.

From the statement, we are moving from a general perspective, which is the fact that, hurricane occurs every fall in the tropics.

Using these general precedence, we deduce that the same event will occur again.

We are basing a reasoning on a general fact, hence, the reasoning is deductive.

Therefore, the reasoning in the scenario above is deductive.

Learn more :https://brainly.com/question/22645767?referrer=searchResults

Write an
equation for the line parallel to the given line that contains C.
4
C(-2,5); y=5X-8

Answer fast please!!!

Answers

It’s very blurry for me I can’t see the question

John went to an electronics store to purchase a new computer. The electronics store allowed John to make payments on the computer instead of paying the entire amount upfront. If John decides to purchase a computer that costs $1,260, and he makes 6 equal monthly payments, what would be his monthly payment?

Answers

Answer:

The monthly payment is $210

Step-by-step explanation:

The computation of the monthly payment is shown below:

Given that

The cost of the computer i.e. purchased is $1,260

And, there are 6 equal monthly payments

So, the monthly payment is

= Computer cost ÷ number of equal monthly payments made

= $1,260 ÷ 6 payments

= 210

hence, the monthly payment is $210 and the same is to be considered

What’s the answer 6^8n+6=1296

Answers

Answer:

So I did it and I got 4 it might be right might not I hope this helped.

Step-by-step explanation:

The sign of the product of any two positive number is

Answers

Answer:

The product of two positive integers or two negative integers is a positive integer. That means if you multiply two OF the same sign numbers, the product is always positive.

“The sign of the product of any 2 positive number is” *postive*

Identify a pair of same-side interior angles

Answers

Answer:

I cant see the attachment

Step-by-step explanation:

???

Answer:

ITS 4 AND 7 Step-by-step explanation:

Between what two integers on a number line would 8√ be plotted?

Answers

Answer:

81 and 49

Step-by-step explanation:

Which shows the steps for performing long division in the correct order?
multiply, subtract, divide, repeat
multiply, divide, subtract, repeat
divide, subtract, multiply, repeat
divide, multiply, subtract, repeat

Answers

Answer:

divide, multiply, subtract, repeat

Step-by-step explanation:

first you divide  then multiply subtract and repeat and then you will get your Answers

option d

Step-by-step explanation:

Help please timed homework. 50 points

Answers

Answer:

I mean that's quite an interesting question

A student wants to conduct an investigation to find out how much heat energy a 100-gram rock can transfer to water. He has the rock and 300 grams of water in an insulated container. The water is at 20°C. He heats up the rock to 50°C, and places it in the water. What is the most important data for the student to record for this investigation?

I need help with 7th grade science

Answers

Answer: The temperature change of the water

The most important data that the student would have to record for the investigation that he is carrying out is temperature.

What is temperature?

This is the term that is used to refer to the degree of hotness or the degree of coldness of a given body.

The temperature is the solution here because the factor that the student is set to find out would be how heat is able to transfer to water.

The variable that would be used to represent heat is going to be temperature. This is what would help to determine the amount of heat that has transferred.

This can be checked with the use of a thermometer. The investigation that the student is carrying out here would be what is called a research study.

Heat is one of the variables that is used in the research study. Therefore we can conclude by saying that the most important data that is going to be used in this research would be what is called temperature.

Read more on research investigations here: https://brainly.com/question/25578076

#SPJ1

Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select THREE options.

•0
•5xy3
•9x2y
•8y4
•4xy3

Answers

Answer:

I JUST DID THE TEST ON EDGE. The answer is: A (0) C (9x2y) And E (4xy3)

Step-by-step explanation:

I hope this helps!!!

Answer:

the answer is a , c e :)

Step-by-step explanation:

what is the answer to this

Answers

The answer is= 2 6/10

Help pls I don’t get it it’s due in a few minutes

Answers

I think it's the first option

Answer:

The correct answer is A the slope will be -0.75

Step-by-step explanation:

See the chart below

Hope this helps.

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