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Solve the equations in Parts A and B using inverse operations. Check your solutions. In your final answer, include all of your work.

Part A: 5 + x^2 = 2x^2 + 13

Part B: 5 + x^3 = 2x^3 + 13

Answers

Answer 1

Answer:

x = - 2√2

x = -2

Step-by-step explanation:

A . 5 + x² = 2 x² +13

    5 + x² - 2 x² - 13 = 0

      - x² -8 = 0

      - x² = 8

         x² = -8

         x = - √8

          x = - 2√2

B . 5 + x³ = 2 x³ + 13

    5 + x³- 2 x³ - 13 = 0

       - x³ -8 = 0

        -x³ = 8

         x³ = -8

      x = - ∛8

         x = -2


Related Questions

I need help with this

Answers

Answer:

B

Step-by-step explanation:

Q(8,7), r(-7,2) s(8,13),t(-11,2) is it parallel

Answers

Answer:

it’s neither parallel or perpendicular

Step-by-step explanation:

easy 8th grade math please help

Answers

Answer:

25x<25x

Step-by-step explanation:

i think its that

Answer:

1 ≤ x

Step-by-step explanation:

20 + 5x [tex]\leq[/tex] 5(1 + 4x)

20+ 5x ≤  5 + 20x

      -5x           -5x

20 ≤ 5 + 15x

-5     -5

15 ≤ 15x

÷15   ÷15

1 ≤ x

4.)
Given ZBAM is a right angle and mZBAM = 4x + 22,
determine the value of x. Enter the NUMBER only.
Do NOT put x = . It will mark it wrong.
Your answer
I

Answers

Answer:

17

Step-by-step explanation:

ZBAM= 90

90=4x+22

90 minus 22= 68

68=4x

68 divided by 4=17

What kind of transformation is illustrated in this figure?  

A) reflection
B) translation
C) dilation
D) rotation​

Answers

Answer:

Translation

Step-by-step explanation:

Translation means that it moves without changing shape, and here it just moves to the right, but the shape is still the same

An equivalent fraction for 2/3 is ____

2/6

10/15

8/15

1/3

Answers

1/3 APEX I have on my test

12. The perimeter of a rectangle is 50 feet. The width is 5 less than the
length. What are the dimensions of the rectangle? (Write your answer as
Length, Width)

Answers

Step-by-step explanation:

Length = x

Width = (x-5)

Perimeter = 2 lengths + 2 widths

50 ft = x + x + (x-5) + (x-5)

50 ft = 4x - 10

60 ft = 4x

15 ft = x

length = x = 15 ft

width = (x-5) = (15 -5) = 10 ft

dimensions = length × width

= 15 ft × 10 ft

if you wanna check,

50 ft = x + x + (x-5) + (x-5)

50 ft = 15 + 15 + (15-5) + (15-5)

50 ft = 30 +(10+10)

50 ft = 30 + 20

50 ft = 50

8+6x-5x+2+2x=12 whats x ?

Answers

Answer:

The answer is 1

Step-by-step explanation:

combine like terms!

[tex]8+6x-5x+2+2x=12\\8+2+6x-5x+2x=12\\10+6x-5x+2x=12\\10+x+2x=12\\10+2x=12\\2x=2\\x=1[/tex]

hope this helps!!

what is the absolute of the integer of 6​

Answers

Answer:

i think its 6...

Step-by-step explanation:

it's basically how far is it from 0 sooo

Answer:

6

Step-by-step explanation:

Positive 6 is six away from 0, therefore the answer is 6.

-95=14x-7+30x

plz show work ty :)

Answers

Answer:

x = -2

Step-by-step explanation:

-95= 14x - 7 + 30x (collect like terms)

-95 = 44x - 7 (add 7 on each side)

-88 = 44x (divide by 44 on each side)

-2 = x

-95= 14x-7+30

-95= 14x+23
-23= 14x

-118=14x
X=8.42

What is the rate of change of the following equation? 2y + x = -2​

Answers

Answer:

-1/2

Step-by-step explanation:

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f(x)=x2,[2,3]f(x)=x2,[2,3]

−12-12

Jessica had 167 dollars to spend on 6 books. After buying them she had 17 dollars. How much did each book cost ?

Answers

Answer:

6 $

Step-by-step explanation:

167$-17$=150$cost 6 books

150 $:6 =25$cost a book

HELP PLZ RN<3
which graph displays a rate of change of 2.5?

Answers

Answer:

The second graph.

Step-by-step explanation:

The first graph has a negative slope, so that can't be the right answer.

The last graph isn't steep enough to show a rate of 2.5.

This leaves us with the middle graph which is correct.

On Monday, Jayla raised $30 and Carlos raised $50.
After that, Jayla raised $12 per day and Carlos
raised $7 per day. After how many days will they
have raised the same amount?

They will raise the same amount after days.

Answers

Answer:

84 days

Step-by-step explanation:

You would use the LCM to solve this.

12 and 7 don't share any common factors other than 1,

so you would multiply 12 x 7, which gets you 84.

After 84 days they would have raised the same amount.

Angad was thinking of a number. Angad doubles it and gets an answer of 46.8.
What was the original number?

Answers

23.4. Doubling is twice the amount. So dividing 46.8 by 2 will give you the original number

The cost of a DVD box set increased from $30 to $35. A student says that this represents a 5% increase in the price. Explain the student’s error. What is the actual percent increase?

Answers

Answer:

17%

Step-by-step explanation:

$30-100%

$35-x%

x%=35*100/30

x%=116.6%

116.6%-100%=16.6%~17%

How many 1/8's are in 1/2 inch?
A.
8.
B
6
c
4
D
3

Answers

Answer:

C

Step-by-step explanation:

C because 4/8 = 1/2................................

x-2y=-13 4x=2y=18 subsitutuion

Answers

X=1,y=7
These are the answers

Write the expression below in standard form.

8h - 3(4 + 5h)

Answers

8h - 3(4 +5h)
= 8h - 12 + -15h is the answer, I think.

Answer:

Distributed: 8h - 12 + 15hSimplified: 23h - 12

Step-by-step explanation:

Apply the distributed property: 8h - 12 + 15hCombine like terms: 23h - 12

I hope this helps!

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.​

Answers

Answer:

x3+y3+z3=k  with k is integer from 1 to 100

solution x=0 , y=0 and z=1 and k= 1

For K= 1 , we have the following solutions (x,y,x) = (1,0,0) ; or (0,1,0) ; or (0,0,1) ,

For k =1 also (9,-8,-6) or (9,-6,-8) or (-8,-6,9) or (-8,9,-6) or (-6,-8,9) or (-6,9,8)

And (-1,1,1) or (1,-1,1)

=>(x+y)3−3x2−3xy2+z3=k

=>(x+y+z)3−3(x+y)2.z−3(x+y).z2=k

=>(x+y+z)3−3(x+y)z[(x+y)−3z]=k

lety=αand z=β

=>x3=−α3−β3+k

For k= 2 we have (x,y,z) = (1,1,0) or (1,0,1) or (0,1,1)

Also for (x,y,z) = (7,-6,-5) or (7,-6,-5) or (-6,-5,7) or (-6,7,-5) or (-5,-6,7) or (-5,7,-6)

For k= 3 we have 1 solution : (x,y,z) = (1,1,1)

For k= 10 , we have the solutions (x,y,z) = (1,1,2) or (1,2,1) or (2,1,1)

For k= 9 we have the solutions (x,y,z) = (1,0,2) or (1,2,0) or (0,1,2) or (0,2,1) or (2,0,1) or (2,1,0)

For k= 8 we have (x,y,z) = ( 0,0,2) or (2,0,0) or (0,2,0)

For k= 17 => (x,y,z) = (1,2,2) or (2,1,2) or ( 2,2,1)

For k = 24 we have (x,y,z) = (2,2,2)

For k= 27 => (x,y,z) = (0,0,3) or (3,0,0) or (0,3,0)

for k= 28 => (x,y,z) = (1,0,3) or (1,3,0) or (1,3,0) or (1,0,3) or (3,0,1) or (3,1,0)

For k=29 => (x,y,z) = (1,1,3) or (1,3,1) or (3,1,1)

For k = 35 we have (x,y,z) = (0,2,3) or (0,3,2) or (3,0,2) or (3,2,0) or 2,0,3) or (2,3,0)

For k =36

we have also solution : x=1,y=2andz=3=>

13+23+33=1+8+27=36 with k= 36 , we have the following

we Have : (x, y,z) = (1, 2, 3) ; (3,2,1); (1,3,2) ; (2,1,3) ; (2,3,1), and (3,1,2)

For k= 43 we have (x,y,z) = (2,2,3) or (2,3,2) or (3,2,2)

For k = 44 we have ( 8,-7,-5) or (8,-5,-7) or (-5,-7,8) or ( -5,8,-7) or (-7,-5,8) or (-7,8,-5)

For k =54 => (x,y,z) = (13,-11,-7) ,

for k = 55 => (x,y,z) = (1,3,3) or (3,1,3) or (3,1,1)

and (x,y,z) = (10,-9,-6) or (10,-6,-9) or ( -6,10,-9) or (-6,-9,10) or (-9,10,-6) or (-9,-6,10)

For k = 62 => (x,y,z) = (3,3,2) or (2,3,3) or (3,2,3)

For k =64 => (x,y,z) = (0,0,4) or (0,4,0) or (4,0,0)

For k= 65 => (x,y,z) = (1,0,4) or (1,4,0) or (0,1,4) or (0,4,1) or (4,1,0) or (4,0,1)

For k= 66 => (x,y,z) = (1,1,4) or (1,4,1) or (4,1,1)

For k = 73 => (x,y,z) = (1,2,4) or (1,4,2) or (2,1,4) or (2,4,1) or (4,1,2) or (4,2,1)

For k= 80=> (x,y,z)= (2,2,4) or (2,4,2) or (4,2,2)

For k = 81 => (x,y,z) = (3,3,3)

For k = 90 => (x,y,z) = (11,-9,-6) or (11,-6,-9) or (-9,11,-6) or (-9,-6,11) or (-6,-9,11) or (-6,11,-9)

k = 99 => (x,y,z) = (4,3,2) or (4,2,3) or (2,3,4) or (2,4,3) or ( 3,2,4 ) or (3,4,2)

(x,y,z) = (5,-3,1) or (5,1,-3) or (-3,5,1) or (-3,1,5) or (1,-3,5) or (1,5,-3)

=> 5^3 + (-3)^3 +1 = 125 -27 +1 = 99 => for k = 99

For K = 92

6^3 + (-5)^3 +1 = 216 -125 +1 = 92

8^3 +(-7)^3

Step-by-step explanation:

Triangle ABC is rotated by 135 degrees about point S to create A'B'C' what is the perimeter of ABC

Answers

Answer: 12.9

Step-by-step explanation:

5.1 + 2 + 5.8 = 12.9

The perimeter of the triangle ABC is 12.9 units.

What is the perimeter of a triangle?

The perimeter of a triangle is the sum of length of three sides of the triangle.

Given, the triangle ABC is rotated by 135 degrees about point S to create the triangle A'B'C'.

We know, after rotation of a figure, the whole dimension of the figure remains the same.

Therefore, AB = A'B' = 5.1 units

BC = B'C' = 2 units

CA = C'A' = 5.8 units

Hence, the perimeter of the triangle ABC

= (5.1 + 2 + 5.8) units

= 12.9 units

Learn more about the perimeter of a triangle here: https://brainly.com/question/19219426

#SPJ3

If you buy a ticket in a certain lottery game, 30% of the players will get paid 1
$2,20% of the players will get paid $5, and 5% of the players will get paid
$25. All other players get paid nothing. What is the expected amount that a
player of this lottery game will get paid?

Answers

Answer:

most are expected to get nothing

Answer:

You're at a carnival and you see a game. For $2 you roll a standard six-sided die. If the number showing is a six you win $10, otherwise, you win nothing. If you're trying to make money, is it in your interest to play the game? To answer a question like this we need the concept of expected value

Step-by-step explanation:

Solve for z -7z/35=3

Answers

Answer:

Z= [tex]-\frac{3}{245}[/tex]

Step-by-step explanation:

suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4

Answers

Answer:

15

Step-by-step explanation:

I hope you have a great day and welcome to brainly!

I need help !!!!! Please !!!! Thank youuu

Answers

by the looks of the photo, it seems like R and S are the same. therefore, the answer would be B. 55
if R is the same as S, and R is 55 degrees, S will be the same.
i hope i helped!

Answer:

∠ S = 55°

Step-by-step explanation:

∠ R and ∠ S are vertical angles and congruent, thus

∠ S = ∠ R = 55°

simplify.show work
(3·9-3²)-10


thanks please show work

Answers

Answer:

8

Step-by-step explanation:

We will use a variety of elementary arithmetic skills to evaluate this expression.

The order of operations goes as follows:

P-Parentheses

E-Exponents

M-Multiplication

D-Division

A-Addition

S-Subtraction

For M and D, they are to be done left to right. Same with A and S. Now, we will apply this to our expression.

[tex](3*9-3^2)-10\\(3*9-9)-10\\(27-9)-10\\18-10\\8[/tex]

What is an equation of the line that passes through the points (4, -1) and
(-8, – 7)? Put your answer in fully reduced form.

Answers

Answer:

y= x/2-3

Step-by-step explanation:

Is a teachers popularity independent of their effectiveness? Yes or No

Answers

Answer:

Yes it is (Hope this helped!)

Bonnie bought 5 pounds of apples for 8$. Don bought apples for $0.40 more per pound than Bonnie. How much did Dan spend per pound for his apples?

Answers

Bonnie paid 1.6$ per pound and Dan paid 2$ per pound
So the answer is 2$

4. A person is earning P600 per day to do a certain job. Express the total salary
S as a function of the number n of days that the person works.​

Answers

Answer: S = P600 × n

Step-by-step explanation:

Amount earned per day = P600

Number of days used = n

The total salary s, will be the value of p600 multiplied by n. This will be:

= P600 × n

Therefore, the function regarding the total salary, s will be: P600 × n

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