Describe how to solve an absolute value equation
*will give brainliest*

Answers

Answer 1

Answer:

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Step-by-step explanation:

Answer 2

Answer:

Rewrite the absolute value equation as two separate equations, one positive and the other negative

Solve each equation separately

After solving, substitute your answers back into original equation to verify that you solutions are valid

Write out the final solution or graph it as needed

Step-by-step explanation:


Related Questions

Which of the following is a rational number?

square root 97
square root 98
square root 99
square root 100

Answers

Answer:

[tex]\sqrt{100}[/tex] is a rational number

Step-by-step explanation:

[tex]\sqrt{97}=9.848857.....\\\\\sqrt{98}=\sqrt{2*7*2}=2\sqrt{7}\\\\\sqrt{99}=\sqrt{3*3*11}=3\sqrt{11}[/tex]

 Square root of all prime numbers are irrational numbers

Jack received $300 for his 13th birthday. If he saves it in a bank account with 8% interest compounded yearly, how much money will he have in the bank by his 18th birthday?

Answers

300(1.08)^5

440.798423

Noah had to water 7 plants. Each plant needed 14 ounces of water. Noah multiplied to find out how much water he would need. Which equation shows the addition equation he could use to check his answer?

14 + 14 + 14 + 14 + 14 + 14 = 84
14 + 7 = 21
14 + 14 + 14 + 14 + 14 + 14 + 14 = 98
7 + 7 + 7 + 7 + 7 + 7 + 7 = 49

Answers

Answer:

n3 14 + 14 + 14 + 14 + 14 + 14 + 14 = 98

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Can someone please help meee

Answers

Answer:

b

basically 5/8 goes to 1/2 0.8 times which is 4/5

solve 2(1/9)× = 2/81 for x​

Answers

Answer: x=1/9

Step-by-step explanation:

[tex]2\left(\frac{1}{9}\right)x=\frac{2}{81}[/tex]

[tex]\frac{2}{9}x=\frac{2}{81}[/tex]

multiply both sides by 9

[tex]9\cdot \frac{2}{9}x=\frac{2\cdot \:9}{81}[/tex]

[tex]2x=\frac{2}{9}[/tex]

divide 2 on both sides

[tex]x=\frac{1}{9}[/tex]

Help fast please!! Which expression is equivalent to..

Answers

Answer:

1/8 = 2³ * 2⁻⁶

Step-by-step explanation:

2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8

You buy 3 pairs of pants for $19 each and 5 shirts for $10 each. Which of the following is a good estimation of how much money you spent?

Answers

Answer

19 X 3= 57

10 X 5= 10

57 + 10=

Therefore your answer is $67

Hope this helps! (づ ̄3 ̄)づ╭❤~

Step-by-step explanation:

This rectangular wall is to be painted. Paint is sold in tins. How much does it cost to paint the wall?

Answers

Answer:

£23.96

Step-by-step explanation:

Area to be painted:

3.6 m * 8.3 m = 29.88 m^2

The area to be painted is 29.88 m^2.

A tin of paint covers 8 m^2. We divide to find the number of tins needed.

29.88/8 = 3.735

Since full tins must be bought, the smallest number of tins needed is 4.

Now we find the price of 4 tins. 1 tin costs £5.99, so 4 tins cost:

4 * £5.99 = £23.96

Isabella saved $13,000 and bought a car that cost $11,675. The insurance for the car will cost $650 per year.
How many full years will Isabella be able to pay for car insurance with her remaining savings?

Answers

Answer:

isabella will be able to pay 2 full years of insurance with her remaining savings

Step-by-step explanation:

as we know isabella saved $13,000

the car cost $11,675 - so subtracting that from her total we will know that she has: $1,325 remaining

insurance for a year costs $650,

so we will divide her remaining sum by the yearly cost giving us -

1,325/650

= ‎‎‎2.0.3....

this means that she will be able to pay for 2 full years of insurance with her remaining savings

hope this helped:)

Answer:  2 years

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

Explanation:

x = number of years

Since it costs $650 a year for insurance, she will pay 650x dollars of insurance in total over those x years.

For example, if x = 4, then 650*x = 650*4 = 2600 dollars is paid in insurance.

The expression 650x is added onto the 11675 which is the cost of the car.

Overall, Isabella pays 650x+11675 dollars as the combined cost of the car itself and the insurance over those x years.

Set this equal to 13000 and solve for x

650x+11675 = 13000

650x = 13000 - 11675

650x = 1325

x = 1325/650

x = 2.03846 which is approximate

Rounding down to the nearest whole number gets us to x = 2

She will be able to afford 2 full years of insurance

Note that if x = 3, then,

650x+11675

650*3+11675

13625

Which is 625 dollars over her budget. This shows that she cannot have x = 3 or larger.

PLEASE HURRY I HAVE 5 MINUTES LEFT

A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expression can be used to find the total cost of the meal with the gratuity?

a) 0.18p

b) 0.82p

c) 1.18p

d) 18.00p

Answers

Answer:

18.00p maybe...............

7. solve for x!
please help

Answers

(3x/6) + 2 = 8

=> 3x/6 = 8 - 2

=> 3x/6 = 6

=> 3x = 6 × 6

=> 3x = 36

=> x = 36/3

=> x = 12

Answer:

x=12

Step-by-step explanation:

3x/6+2=8

3x/6=8-2

      =6

3x/6(6)=6(6)

3x=36

x=12

An executive for a large company is considering a change to health insurance plans offered to the employees. To
assess employee satisfaction with the current plan, the executive sends an email to all company employees asking
their opinion of the current plan. A summary of the results received shows that 27% of company employees are
"highly satisfied" with the current health insurance plan. Which statement about the results is most likely to be true?

Answers

Answer:

not D

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

5000 X 10 X 10 X 50​

Answers

Answer:

25000000

5000 X 10 is 50000

50000 X 10 is 500000

500000 X 50 is 25000000

Step-by-step explanation:

Answer:

25000000

Step-by-step explanation:

A way to tackle this is to split all the numbers up into a digit and a power of 10.

5000 = 5*1000, and 1000 can be written as 10^3

10 = 1*10, and obviously 10 is 10^1

50 = 5*10, where 10 is 10^1

Now we have (5*10^3) * (1 * 10) *(1 *10)*(5 *10)

Gathering all the digits, we have 5*1*1*5, giving us 25

Gathering all the powers of 10, we have 10^3*10*10*10 = 10^6

expanding and multiplying gives us the final answer of 25000000

The 4th term of an exponential sequence is 108 and the common ratio is 3. Calculate the value of the eighth term of the sequence.

Answers

Answer:

8748

Step-by-step explanation:

The formula for the nth term in a geometric sequence is ar^n-1.

We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.

a = 4.

We find the 8th term using this:

(4)(3)^8-1 = (4)(3)^7 = 8748.

Combine f(x) =(x)(2x + 5) and g(x) = 2x2 - 13x + 6

Addition

Answers

Answer:

f(x) + g(x) is 2(2x² - 4x - 3)

Step-by-step explanation:

[tex]f(x) + g(x) = (x)(2x + 5) + ( {2x}^{2} - 13x + 6) \\ = (2 {x}^{2} + 5x) + (2 {x}^{2} - 13x + 6) \\ = 4 {x}^{2} - 8x - 6 \\ = 2(2 {x}^{2} - 4x - 3)[/tex]

2. What is the volume of the regular pyramid to the nearest whole number?
14 cm
12 cm

Answers

291 cm^3

The volume of a pyramid is (area of base x height) / 3
In this case the base is an equilateral triangle with side 12cm.
Using the semi perimeter formula gives
Base = sr( 18 x 6 x 6 x 6) = 62.3538...
Volume = 62.3538... x 14 / 3 = 290.9845...
= 291 to nearest whole number

You could find the base area using Pythagoras and 1/2bh or the Sine formula


Simplify the expression:
4 + 4f2 + 6f - 6f

Answers

Answer:

4f^2 +4

Step-by-step explanation:

4 + 4f^2 + 6f - 6f

Combine like terms

4f^2 +4

Someone help please

Answers

Answer:  Choice A

[tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex]

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

Explanation:

Recall that [tex]\tan(x) = \frac{\sin(x)}{\cos(x)}[/tex] and [tex]\cot(x) = \frac{\cos(x)}{\sin(x)}[/tex]. The connection between tangent and cotangent is simply involving the reciprocal

From this, we can say,

[tex]\tan(\alpha)*\cot^2(\alpha)\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\left(\frac{\cos(\alpha)}{\sin(\alpha)}\right)^2\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\frac{\cos^2(\alpha)}{\sin^2(\alpha)}\\\\\\\frac{\sin(\alpha)*\cos^2(\alpha)}{\cos(\alpha)*\sin^2(\alpha)}\\\\\\\frac{\cos^2(\alpha)}{\cos(\alpha)*\sin(\alpha)}\\\\\\\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex]

In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.

All of this shows why [tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex] is identical to [tex]\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex]

Therefore, [tex]\tan(\alpha)*\cot^2(\alpha)=\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex] is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.

You can visually confirm that [tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex] is the same as [tex]\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex] by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.

Help me plss!!!!!
Consider the graph of the function below.
Which statement about the graph below is incorrect?
A. The degree of the polynomial is even.
B. There is a positive leading coefficient.
C. There is one relative minimum.
D. There is one relative maximum.
a
A
b
B
С
d
D

Answers

Answer: A) The degree of the polynomial is even

We can determine this by noticing that the end behavior is different on both sides. The left end goes downward while the right end goes upward. This opposing nature indicates we have an odd degree function like a cubic. If this was an even degree function, then the left end must also point upward to mirror the right end. That's why choice A is the final answer.

Choice B can be ruled out since it's a true statement. This is because the right end behavior goes to positive infinity. Such end behavior is tied to positive leading coefficients (whether even or odd functions, it doesn't matter).

Choice C is also true and can be ruled out because this function curve does have one relative minimum. It's the location where the curve bottoms out in the valley at around x = 3.5 or so. It's the lowest point in the neighborhood/interval of points.

Choice D can be ruled out for similar reasons as choice C, except this time we're looking at the highest point in a certain neighborhood. That highest point occurs somewhere between x = 1.5 and x = 2 where the peak of the hill is located.

To rephrase those last three paragraphs: choices B through D are true statements, so they can be ruled out.

WILL MARK BRAINLIEST !! find the coordinates F after a dilation about the origin of 2.5 write your answer in AB form​

Answers

Answer:  (5,0)

Explanation:

Point F is located at (2,0)

Multiply each of those coordinates by the scale factor 2.5

2.5*2 = 52.5*0 = 0

This means point F(2,0) moves to F ' (5,0) after applying the dilation, where the dilation is centered at the origin.

You invested $8,307 into stocks of a company which
were priced at $13.71/sh. How many shares did you
purchase?

Answers

Answer:

606 shares

Step-by-step explanation:

Number of shares= (Total money spent)/(Each share price)

Number of share=(8307)/13.71=605.9≈606

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE QUESTION!!

Answers

Answer:

(base x height x length)/2 = volume

6x8x8 = 384/2 = 192in^3

hope that answers your question

The Yogurt Packaging company is now re-designing their factory. They are going to construct a building in
the shape of a square box. Their contractor has told them that the diagonal braces needed to make the roof
are 150 feet long.(please help)


1. What would be the floor plan of the building? Label the diagonal braces



2. Find the dimensions of the new factory



3.Find the perimeter of the new factory


4.the yogurt machines will be placed along the wall of the new factory . Each machine is 10 feet wide.

Find the company fit 40 of the machines in the building Why or Why not ?

Answers

Answer:

1.  see attached diagram

2. The dimensions are 75 sqrt(2) by 75 sqrt(2) ft

3. The perimeter is 300 sqrt(2) ft

4. cannot fit 40 machines along the walls

Step-by-step explanation:

We are using a top down view.  We have a square building with side length s.  The diagonal is 150 ft

Using the Pythagorean theorem

s^2 + s^2 = 150^2

2s^2 = 22500

s^2 =11250

Taking the square root of each side

sqrt(s^2) = sqrt(11250)

s = sqrt(6225*2)

s = 75 sqrt(2)

The dimensions are 75 sqrt(2) by 75 sqrt(2) ft

The perimeter of a square is given by

P = 4s = 4(75 sqrt(2)) =300 sqrt(2) ft

The perimeter is 300 sqrt(2) ft

Assuming the machines are square ( that they are as wide as they are long) 75 sqrt(2) is approximately 106 ft  so you can fit 10 along the wall

Putting them along the top and bottom walls = 20 machines

We are only left with 86 ft along the side walls

86/10 = 8 machines  

machines * 2 walls = 16

We can fit 20+16 machines = 36 machines not 40

The largest prime factor of 1224. Explain with definition.​

Answers

Factors of 1224 are numbers that, when multiplied in pairs give the product as 1224. There are overall 24 factors of 1224 among which 1224 is the biggest factor and 2, 3, 17 are its prime factors. The Prime Factorization of 1224 is 23 × 32 × 171.

-1/2 divided by 1/19

Answers

Answer:

-19/2 or

-9 1/2

Step-by-step explanation:

-1/2 ÷ 1/19

Copy dot flip

-1/2 * 19/1

-19/2

-9 1/2

Algebra 1 need help ASAP

Answers

Answer:

first one ( x ≥ -12)

Step-by-step explanation:

when you divide by -12 for both sides, the inequality reverses as the value is negative.

First one is the answer I think so

A trader buys tea for $1200 and sells it for $1500. Per sack of tea he makes a profit of $50. How many sacks of tea did he have?

Answers

Answer:

6 sacks

Step-by-step explanation:

Buying Price = $1200

Selling Price = $1500

Total profit = Selling price - Buying Price

= $1500 - $1200

= $300

Given that the profit on each sack of tea is $50

Number of Sacks of Tea = Total Profit ÷ profit per sack

= $300 ÷ 50

= 6 sacks

The number of sacks of tea he has is 6.

The first step is to determine the total profit earned by the trader. Profit is the selling price less the cost price.

Profit = selling price - cost price

$1500 - $1200 = $300

The second step is to divide the total profit by the profit made per sack of tea.

Number of sacks = $300 / $50 = 6

To learn more about division, please check: https://brainly.com/question/194007

HELP!! The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium? Show your work.

Answers

Answer:

Answer is 36 I think

Step-by-step explanation:

im not sure

Find the indicated side of the right triangle

Answers

Answer:

Step-by-step explanation:

tan30°=3/x

xtan30°=3

x=3/tan30°

x= 5.2

f(x)=3-2x whats f(0) =?

Answers

Answer:

The answer would be F(x)= 3

Step-by-step explanation:

you just substitute the 0 for all the x's in this case the x next to the 2.

f(x)= 3-2(0)

Then you multiply the 2 to the 0 which will give you 0.

f(x)= 3-0

And lastly you would subtract the 3 from the 0 and your answer will be

F(x)=3

Hope this helped!!!

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