I need help with steps of solving this equation.

I Need Help With Steps Of Solving This Equation.

Answers

Answer 1

Answer:

x = {-1/5, 1}

Step-by-step explanation:

(5x - 2)² - 1 = 8

Add 1 to both sides

(5x - 2)² = 9

Take the square root of both sides

5x - 2 = ±3

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

Solution I for 5x - 2 = +3

5x - 2 = 3

add 2 to both sides

5x = 5

Divide both sides by 5

x = 1

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

Solution II for 5x - 2 = -3

5x - 2 = -3

add 2 to both sides

5x = -1

Divide both sides by 5

x = -1/5

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

x = {-1/5, 1}


Related Questions

Indiana now has 8 different area codes. How many different phone numbers are available within Indiana if the numbers can repeat? Remember that phone numbers have an area code followed by 7 digits.

Answers

Answer:

Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.

Step-by-step explanation:

:D

An 18% tip was left on a $105 restaurant bill. How much are money should be
left for the bill?

Answers

Answer:

to calculate a 18 percent tip on a $105 bill.

What should I tip on 105 dollars? How much is the tip for $105?

Tip $18.90

Total $123.90

Step-by-step explanation:

Put the percentage in decimal form (0.18) then multiply the cost by this number. 26.50 * 0.18 = 4.77. So your tip is $4.77.

3
Solve 3 x 5* =
125
for x
Qns b)

Answers

Step-by-step explanation:

3 x 5 ^x =3/125

5^x =(3/125)x(1/3)

5^x = 1/125

5^x = (1/5)^3

5^x = 5^-3

x=-3(bases are equal)

96g + 80f and explain

Answers

Answer:

16(6g + 5f)

Step-by-step explanation:

To factor 96g + 80f, we must find the GCF of 96 and 80. We don't factor g and f since they're totally different and can't be factored.The GCF of 96 and 80 is 16.

To factor the equation:

96g + 80f

16(6g + 5f)

I need help with all of this...

Answers

Answer:

sorry it might be a bit hard to read but basically when you go up the scale you will move the decimal point over to the right and add zeros. when you are going up the scale you are going to move the decimal point over to the left and take away zeros depending on how many step you go up or down

How is everbody doing today?

Answers

Answer:

:)))))))))))))))))) boring

Answer:

Doing alright.

Thanks for asking.

Step-by-step explanation:

MODELING REAL LIFE A survey asked students to choose their favorite social media website Social Media Website Number of Students Website A 35 Website B 13 Website C 22 Website D 10 a. What fraction of the students chose Website A?


__ chose Website A.

b. What percent of the students chose Website C?

__ % chose Website​

Answers

Answer: For A = 35/80 or 43.75% C = 22/80 or 27.5 %

Step-by-step explanation:

I’m not sure if this is right but since 35 students choose A that would be the numerator and the denominator is how many people voted and when you add all 4 options you get 80 so it would be 35/80 and same apply to C which would be 22/80

pls help finding this out

Answers

there are only 2 right angles
I’m not too sure but I think the corner S is the only right angle

Measurements were taken from snails of the shell weights and the widths of the opercula. Plot a graph of opercula width (y-axis) versus shell weight (x-axis). Estimate the correlation coefficient and test to see if there is a significant association shell weights and the widths of the opercula. Use a 5% level of significance.
Opercula width
Shell weight (g) (mm)
12 10.1
10 9.0
7 5.5
14 9.9
11 8.3
8 8.5
10 8.0
9 6.4
6 6.2
13 8.1 2.306

Answers

Answer:

Yes,there is a significant association shell weight and the widths of the opercula

Step-by-step explanation:

Using a correlation Coefficient calculator :

Given the data above :

The Coefficient of correlation(r) obtained is :

0.7632

Obtaining the test statistic :

T = r² / √(1 - r²) / (n - 2)

T = 0.7632² / √(1 - 0.7632²) / (10 - 2)

T = 0.58247424 / 0.2284528

Test statistic = 2.550

The Pvalue from r score , N = 10

Pvalue(0.7632, 10) = 0.01022

α = 0.05

If Pvalue < α ; reject H0

Pvalue < α ; We conclude that there is a significant association shell weights and the widths of the opercula

What is the area of the quadrilateral and what is the perimeter

Answers

Answer:

Area of Trapezoid = (b1 + b2)h

                                         2

Area = (9 in + 17 in) (3 in = 1/4 ft)

                      2

A = (26 in)(3 in)/2

A = 78 in2/2

A = 39 in2

Perimeter = bi + b2 + 2l

             P = 9in + 17 in + 2(5 in)

             P = 26 in + 10 in

             P = 36 inches

13. Describe the type of solution for the
linear system of equations given below.
(x+4y=7
8y = 14 - 2x

Answers

Answer: infinite solutions

Step-by-step explanation:

Find the zeros of the function y=x(x+2)(x-4)

Answers

Answer:

first x= -2

second x= 2

third x= 4

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

90+51+x=180(sum of interior angles of a triangle)

141+x=180

x=180-141

x=39 degree

Step-by-step explanation:

What is angle M and N and the length of NP

Best answer gets brainliest!!!!

Answers

Answer:

3

Step-by-step explanation:

Answer:

Angle M and N is 45 degrees, and the length of NP is approximately 6 cm

Step-by-step explanation:

With angle P being 90 degrees. The angles of M and N, must add up to 90 degrees as well.

 *triangles add up to a total of a 180 degrees, (180 - 90 = 90)

   9 ÷ 2 = 45

   So: ∠M = 45° and ∠N = 45°

To find the length of NP, use the pythagorean theorem.

a² + b² = c²

a = MP = 5

b = NP = x

c = MN = 7.8

(5)² = 25

(7.8)² = 60.48

25 + x² = 60.48

x² = 60.48 - 25

x² = 35.84

x = √35.84

x = 5.986 = 5.99

NP = 5.99 = 6

please ill mark brainliest just gotta tell me how xd

Answers

Answer:

gkxodydyodylxlyculxylxl


D is the answer here

Answers

Nice maybe next time you will get it correct

this is pythagorean theorem and i do not understand pls help me !!

Answers

Answer:

What are we supposed to find?

If you’re trying to find the 3rd triangle measurement do 9^2 + 7^2 = c^2
9^2= 81
7^2= 49
81+49= 130
130= c^2
Then you need to square root 130
Which should be 11.4

Hank spends 7 hours doing work outside each week as part of his chores. For every extra hour he spends working outside beyond
the 7 hours, his parents pay him $9. How much money will he be paid if he spends 12 hours working outside?
A. $45
ОВ.
$14
C. $171
D. $108

Answers

9514 1404 393

Answer:

  A.  $45

Step-by-step explanation:

12 hours is 5 more than 7 hours.

Hank will be paid 5 × $9 = $45 if he spends 12 hours working outside.

Simplify the following expression:
5(3x) – 3(7x – 2)

Answers

Answer:

[tex]5(3x) - 3(7x - 2) \\ = 15x - 21x + 6 \\ = - 6x + 6 \\ = 6(1 - x)[/tex]

Answer:

-6x+6

Step-by-step explanation:

Cassie rolls a fair number cube with 6 faces labeled 1-6. She rolls the number cube 300 times. Which result is most likely?

a.Cassie will roll a 1 or 2 about 50 times.

b.Cassie will roll an even number exactly 150 times.

c.Cassie will roll a 1 or 2 exactly 50 times.

d.Cassie will roll an even number about 150 times

Answers

Answer: B

Step-by-step explanation:

Process of elimination:

A: 1 or 2 is 2 favorable outcomes

2/6 or 1/3

one third of 300 is 100, not 50

B: 2, 4, and 6 are even numbers (3 favorable outcomes)

3/6 or 1/2

1/2 of 300 is 150

I say the answer is B. Sorry if I’m wrong.

no fake annswer help needed!!!!!!

Answers

Answer:

C.

Step-by-step explanation:

Answer:
C.

Steps to solve it:

Lexi is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 16 feet away from the hook. If Lexi is 20 feet away from the fish, how far below Lexi is the hook?

Answers

I don't know what that is

Step-by-step explanation:

One Pythagorean Triple is 3, 4, 5. 32 + 42 = 52

Any multiple of the three numbers is also a Pythagorean Triple:

(3 · 3)2 + (3 · 4)2 = (3 · 5)2

92 + 122 = 152

Pick the geometric term that matches the real-world object.



triangular prism
cylinder
rectangular prism
cube
sphere

Answers

Answer:

Sphere

Step-by-step explanation:

MPG (miles per gallon) Formula:
Example Problem: Abdullah drove 1800 miles on 50 gallons of
gasoline. Find his gas mileage, rounded to the nearest whole
number, mpg.
PLEASE HELP

Answers

Answer:

36 mpg

Step-by-step explanation:

the gas mileage= 1800/50 = 36 mpg

help quicklyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answers

Answer: A.

Explanation: 4 + -4 = 0 and 3 - 3 = 0

Answer;

I think the answer is

(c.) 1 and -12

Two angles are complementary. One has a measure of 25 degrees. What is the measure of the other angle

90 degrees
65 degrees
25 degrees
155 degrees

Answers

9514 1404 393

Answer:

  (b)  65 degrees

Step-by-step explanation:

When angles are complementary, their total is 90°. The measure of the other angle is ...

  90° -25° = 65° . . . . . the measure of the other angle

Gotta make this fast, im running out of points.

Answers

Answer:

335 mm²

Step-by-step explanation:

This will be so easy, that you can do it in the future by yourself!

Okay let's start by splitting this figure, the easiest way seems to be by cutting off that little part, you know what just let me show a picture.

Okay you shuold be able to see the picture, so the small square has an area of 20, since 5 times 4 is 20 mm! The larger square has an area of 315!

How did I find this? Take that small 10mm in the side and add it to 5mm, that would be 15. 15 times the bottom the width, it would be 15 * 21. 15 times 21 is equal to 315.

Now, we add both those areas together, to get ourselves a nice little 335 mm²

I hope that helped, have a great day!!

A sample of 300 subscribers to a particular magazine is selected from a population frame of 9,000 subscribers. If, upon examining the data, it is determined that no subscriber had been selected in the sample more than once:________.
A. the sample could not have been random
B. the sample may have been selected without replacement or with replacement
C. the sample had to have been selected without replacement
D. the sample had to have been selected with replacement

Answers

Answer:

C

Step-by-step explanation:

It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.

What is the sample?

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.

Therefore, the correct answer is C. the sample had to have been selected without replacement.

Learn more about the sample here:

https://brainly.com/question/11045407

#SPJ6

Twelve people ordered calculators. The least expensive was $5.95 and the most expensive was $12.95. Half ordered a $9.95 calculator. Select the best estimate of the amount spent on calculators.(1 point)

$125

$90

$160

$140

Answers

Answer:

Round up all costs

Least expensive: $6

Most expensive: $13

Half (half of 12 people is 6) ordered $10 calculators so 6x10=$60

Other half

(6+13)/2= $9.5 round up to $10 so 6x10=$60

$60 + 60=$120 best estimate $125

Step-by-step explanation:

The required, best estimate of the amount spent on calculators is $125.  Option A is correct.

What is rounding of values?

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Since half of the twelve people ordered a calculator costing $9.95, there are 6 such people. Let the remaining 6 people have ordered the cheapest calculator, which costs $5.95. Then the total amount spent on calculators is:

6 x $5.95 + 6 x $9.95 = $35.70 + $59.70 = $95.40

However, we also need to take into account the possibility that some people may have ordered more expensive calculators. We know that the most expensive calculator costs $12.95, so let's assume that all 12 people ordered this calculator. Then the total amount spent on calculators would be:

12 x $12.95 = $155.40

Since the actual amount spent is somewhere between $95.40 and $155.40, the best estimate of the amount spent on calculators is around the midpoint of these values:

($95.40 + $155.40) / 2 = $125.40

Therefore, the best estimate of the amount spent on calculators is $125.

Learn more about round the decimal here;

brainly.com/question/867784

#SPJ2

CAN ANYONE HELP? I’ll give Brainly!!! I’ve been stuck :(

Answers

Answer:

Angles that form a linear pair always =180

so set up an equation 4x+4+4x-32=180

now solve for x

Step-by-step explanation:

Two angles whose sum is 180° are called supplementary angles. The value of x is 26.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

The two given angles are supplementary to each other, therefore, the sum can be written as,

4x+4+(4x - 32) = 180

4x+4+4x-32=180

8x=180+32-4

8x=208

x = 26

Hence, the value of x is 26.

Learn more about supplementary angles here:

https://brainly.com/question/2882938

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