Plz help me solve this algebra

Plz Help Me Solve This Algebra

Answers

Answer 1

Answer:

[tex]x=5, \\x=-1[/tex]

Step-by-step explanation:

Given [tex](x-2)^2=9[/tex], to solve for [tex]x[/tex], our goal is to isolate [tex]x[/tex].

Take the square root of both sides:

[tex]x-2=\pm\sqrt{9},\\x-2=\pm 3[/tex](recall that [tex]3^2=(-3)^2=9[/tex]).

Therefore, we have two cases:

[tex]\begin{cases}x-2=3,x=\boxed{5} \\x-2=-3, x=\boxed{-1}\end{cases}[/tex]


Related Questions

Element X is a radioactive isotope such that its mass decreases by 73% every
hour. If an experiment starts out with 680 grams of Element X, write a
function to represent the mass of the sample after t hours, where the rate of
change per minute can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the
percentage rate of change per minute, to the nearest hundredth of a percent.
Mi

Answers

Answer:

Step-by-step explanation:

The element decay percentage rate of change 2.22% per minute.

What is radioactive isotope?

Radioisotope, radionuclide, or radioactive nuclide, any of several species of the same chemical element with different masses whose nuclei are unstable and dissipate excess energy by spontaneously emitting radiation in the form of alpha, beta, and gamma rays.

Here, mass decreases by 73% every hour.

Weight of element X is 680 grams.

According to question,

f(t) = 680 (1 - 73%)ⁿ

f(t) = 680 (1 - 0.73)ⁿ

f(t) = 680 X 0.27ⁿ

f(t) = 680 X 0.9778ⁿ

f(t) = 680 X (1 - 0.02322)ⁿ

Thus, the element decay percentage rate of change 2.22% per minute.

Learn more about radioactive isotope from:

https://brainly.com/question/1907960

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Solving Systems of Linear Equations Algebraically - Qutz - Level H
Question 7
Solve.
3
b=0
a + b = 21
a = 20
a = 12
a = 20
a = 37
b = 11
0 = 371
%
b = 9
b = 15
b = -16
ET
6:26

Answers

Please reformat your question so that I can try to help.

the number 3.14063 written correct to 3 decimal places is

Answers

Answer:

3.141

Step-by-step explanation:

3 decimals is .xxx, and you round the last digit up, so it becomes 3.141

Answer:

3.141

Step-by-step explanation:

since the forth number behind the decimal place is bigger than 5 we round up the third number.

I hope this helps in anyway.

Find the median and mean of the data set below:
48,32,5, 13, 11, 22, 2

Answers

median is 13
mean is 19

Answer:

the median is 13 and the mean is 13

What is my answer if I Add
-9+84+(-2)

Answers

Answer:

73

Step-by-step explanation:

-9+84+(-2) =

-9+82 =

= 73

Hope this helps

2x+5y=20 y=-0.4x-1 i really need help over here

Answers

Answer:

x=6.25 and y=1.5

Step-by-step explanation:

Given equation

2x+5y=20

y=0.4x-1

Putting the value of y in above equation

2x+5(0.4x-1)=20

2x+2x-5=20

4x-5=20

4x=20+5

4x=25

x=6.25

Now,

y=0.4x-1( Given)

Putting the value of x=6.25 in above equation y

y=0.4(6.25)-1

y=2.5-1

y=1.5

A high school has 32 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 233 pounds

Answers

Answer:

[tex]\% = 11.96\%[/tex]

Step-by-step explanation:

Given

See attachment for box plot

Required

Percentage greater than or equal to 233

From the box plot, the maximum is:

[tex]Max = 244[/tex]

The minimum is:

[tex]Min = 152[/tex]

Percentage greater than 233 is calculated as:

[tex]\% = \frac{Max - 233}{Max - Min}[/tex]

[tex]\% = \frac{244 - 233}{244-152}[/tex]

[tex]\% = \frac{11}{92}[/tex]

Express as percentage

[tex]\% = \frac{11}{92}*100\%[/tex]

[tex]\% = \frac{1100}{92}\%[/tex]

[tex]\% = 11.96\%[/tex]

Leila buys candy that costs 8 dollars per pound. She will spend more than 40 dollars on candy. What are the possible numbers of pounds she will buy?

Answers

Answer:

She must buy more than 5 lbs

Step-by-step explanation:

First write the inequality

cost per pound * number of pounds >  total cost

8 * lbs > 40

Divide each side by 8

8 lbs /8 > 40/8

lbs > 5

She must buy more than 5 lbs

what is equivalent to 7w +7w

Answers

Answer:

14w

Step-by-step explanation:

Hope this helps

HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)

Answers

Given:

x-intercepts of the hyperbola are ±4.

The foci of hyperbola are [tex]\pm 2\sqrt{5}[/tex].

Center of the hyperbola is at origin.

To find:

The equation of the hyperbola.

Solution:

The general equation of a hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]            ...(i)

Where, (h,k) is the center of the hyperbola, ±a are x-intercepts, [tex](\pm c,0)[/tex] are foci.

Center of the hyperbola is at origin. So, h=0 and k=0.

x-intercepts of the hyperbola are ±4. So,

[tex]\pm a=\pm 4[/tex]

[tex]a=4[/tex]

The foci of hyperbola are [tex]\pm 2\sqrt{5}[/tex].

[tex]\pm c=\pm 2\sqrt{5}[/tex]

[tex]c=2\sqrt{5}[/tex]

We know that,

[tex]a^2+b^2=c^2[/tex]

[tex](4)^2+b^2=(2\sqrt{5})^2[/tex]

[tex]16+b^2=20[/tex]

[tex]b^2=20-16[/tex]

[tex]b^2=4[/tex]

Taking square root on both sides, we get

[tex]b=\sqrt{4}[/tex]                    [b>0]

[tex]b=2[/tex]

Substituting [tex]h=0,k=0,a=4,b=2[/tex] in (i), we get

[tex]\dfrac{(x-0)^2}{4^2}-\dfrac{(y-0)^2}{2^2}=1[/tex]

[tex]\dfrac{x^2}{4^2}-\dfrac{y^2}{2^2}=1[/tex]

Therefore, the correct option is (d).

PLS HELP TYSMMMM <33333333333333333333333333

Answers

54 ÷ (6 - 3) x 2

Explanation:
Use order of operations PEMDAS to check:
54 ÷ (6 - 3) x 2
= 54 ÷ 3 x 2
= 18 x 2
= 36

Please say if im correct

If im correct, mark me brainliest tysm!
Have a nice day
-SpaceMarsh

Answer:

dvide 54 by 6 then the answer you get  subrtact it by 3 then the answer you get multiply iy by 2 then thats will be your answer

Step-by-step explanation:

remember always use PEMDAS always add or subract wich ever comes first and if theres none of that then do Multiply or devide wich ever comes first  ( btw your answer is   ( 3 )

An English teacher needs to pick 4 books to put on his reading list for the next school year. He has narrowed down his choices to 8 novels and 6 plays.

a. How many different ways can he choose the books to put on the list if he wants to include at least two plays?
b. Find the standard deviation.

Answers

Answer:

A) 3 ways

B) sorry don't know.

Step-by-step explanation:

2 P and 2 N

3P and 1 N

4P

So 3 ways.

How do you solve a system of linear equations by graphing? ​

Answers

9514 1404 393

Explanation:

This is a self-answering question: you solve it by graphing the equations.

The solution is where the lines intersect. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.

__

The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.

High School Dropouts
Number of Dropouts
1990
2000
Male
Female
MAMD.M.D.3: Which of the
following is true about the graph?

Answers

Answer:

There are more females dropping than males each year and that there are more females than males

Help ASAP please!!

For a proof by induction of the math statement below,
identify the correct step for proving the theorem is true
for n=k+1

2+4+6+...+2n=n(n+1)

Answers

Answer:

2+4+6+...+2k+2(k+1) = k(k+1) + (k+1)(k+1)

Step-by-step explanation:

Proved case for n

2+4+6+...+2n = n(n+1) ................(1)

for n = k + 1, we replace n by k and add n = k+1 on both sides (

2+4+6+...+2k+2(k+1) = k(k+1) + 2(k+1))

rearrange by factoring the right-hand-side

2+4+6+...+2k+2(k+1) = (k+1)(k+2)

which if we substitute n=k+1, we get back

2+4+6+...+2(n-1) + 2(n) = n(n+1)  ...............(2)

This means that equation (1) is applicable to case n+1, and the proof by induction is completed.

How many Egyptian numerals (total) are needed to represent the following problem?

Answers

128 hope this helps love

Which graph represents the function f(x)=|x|-4?

Answers

See the graph in the attached image.

Rewrite each mixed number as a sum of two signed numbers,
3 1/5
-7 3/8

Answers

Answer:

31/5 as a mixed number: 6 and 1/5

-73/8 as a mixed number:-9 and 1/8

Step-by-step explanation:

Rewriting each mixed number as a sum of two signed numbers 3 1/5  and -7 3/8 are 3 and 1/5  and -8 and 5/8 respectively

The mixed number to rewrite as a sum of two signed numbers are as follows:

3  1 / 5-7  3 / 8

Rewriting as a sum of the two signed numbers can be represented as follows;

3 1/5 = 16 / 5

-7 3/ 8 = - 59 / 8

Therefore,

3 1/5  will be 3 and 1/5

-7 3/ 8 will be -8 and 5/8

Note

3 + 1/5 = 3 1/5

-8 + 5/8 = -7 3/8

learn more on fraction here: https://brainly.com/question/24645582

13. Find the area of the parallelogram.

Answers

Answer:

Step-by-step explanation:

make it 1 triangle and trapezium

1) 1/2 x 7 x 8 = 28 in2

Answer:

56 in^2

Step-by-step explanation:

A = b* h

A = (8) * (7)

A = 56

A = 56 in ^2

Hope this helps!

A local salesman has forty-five stacks of magazines. If the salesman plans to sell three-fifths of the stacks, how many stacks will he have left?

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Determine if each proportion on the left is True or False. Answer options on the right side may be used more than once.
True
False
28/16=14/8
3/5=9/15
4/32=10/78
3/4=12/16

Answers

Answer:

28/16=14/8 true

3/5=9/15 true

4/32=10/78 false

3/4=12/16 true

Step-by-step explanation:

DID IT ON BRIDGE

Find the volume in the shape

Answers

Answer:

1205.76 m^3

Step-by-step explanation:

given:

radius = 8m

height = 18 m

volume of a cone = πr2h/3

=3.14 * (8)^2 * 18/3

=3.14 *64 *18/3

=3617.28/3

=1205.76 m^3

The perimeter of the rectangle is 80 cm. The area of the rectangle is acm2 . (i) show that x 2 40x + a = 0.​

Answers

Answer:

Proved

Step-by-step explanation:

Given

[tex]p = 80[/tex] ---- perimeter

[tex]a \to area[/tex]

Required

[tex]x^2 + 40x + a = 0[/tex]

The perimeter is calculated as:

[tex]p = 2(x + y)[/tex]

Where

[tex]x,y \to[/tex] the rectangle dimension

So, we have:

[tex]2(x + y) = 80[/tex]

Divide by 2

[tex]x + y = 40[/tex]

Make y the subject

[tex]y = 40 - x[/tex]

The area of the rectangle is:

[tex]a = xy[/tex]

[tex]a = x * (40 -x)[/tex]

[tex]a = 40x -x^2[/tex]

Equate to 0:

[tex]x^2 - 40x + a = 0[/tex]

If function f has zeros at -3 and 4, which graph could represent function f?

Answers

Answer:

A

Step-by-step explanation:

f has zero means that f(x)=0

if f(x)=0 we have to look intersection point or points in the graph on the x-axis.

for A

y=0

x=-3, x=4

for B

y=0

x=-4, x=3

for C

y=0

x=-4, x=-3

for D

y=0

x=3, x=4

The answer is A the points are (0,-3) and (0,4)

Given m||n, find the value of x

Answers

Answer:

The answer is 104 degrees.

Step-by-step explanation:

M is equivalent to N, which means x is also 104 degrees.

A square dancing contest has 245 teams of 4 pairs each. How many dancers are participating in the contest?

Answers

Answer:

1960 dancers

Step-by-step explanation:

your are on "ace" level and need help here ?

a pair is 2 people

4 pairs is therefore 4×2 people = 8

245 teams of 4 pairs or 8 people each means

245×8 = 1960 people

32,131 round this to two decimal places​

Answers

Answer:

Is 32,13

Step-by-step explanation:

Because one is not bigger than five so it disappears.

Dan has an old lawn mower! It takes him 1 hour to mow the whole lawn. How many square yards does Dan cut in one minute? Hints: There are 60 minutes in 1 hour. To find the unit rate divide the area of the lawn by the amount of time it takes Dan to mow the whole lawn.
40 square yards per minute
400 square yards per minute
2400 square yards per minute
240 square yards per minute

Answers

Answer: You didnt mention how much Dan mows in 1 hour, but just do that divided by 60

Step-by-step explanation:



A spinner with 8 equal-size sections labeled as shown is spun 200 times. What is the sample
space for this experiment?

Answers

Answer:

hiiooioudzzxuxojxoufxodyzufxufxyfxuoxudr tztdxhxfuoxir d and

m) Factorise:
x2/9+1+9/x2​

Answers

Answer:

Cannot be factored

Step-by-step explanation:

Given

[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2}[/tex]

Required

Factorize

Take LCM

[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2} = \frac{x^4+9x^2+81}{9x^2}[/tex]

The expression cannot be factored

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