The table shows a relationship between X^ - values. Which statement describes the pattern created by the values ?

Answer:

The equation [tex]x=4[/tex] represents in R^2 c) a line

The equation [tex]x=4[/tex] represents in R^3 a) a plane

The equation [tex]y+3x=2[/tex] represents in R^3 a) a plane

The equation [tex]z-4y=8[/tex] represents d) a plane

The pair of equations [tex]y=2,z=8[/tex] represents a) a line

Step-by-step explanation:

Let's start by studying each question :

1)

In R^2 , [tex]x=a[/tex] with [tex]a[/tex] ∈ IR is the equation of all vertical lines

In this case, the only free variable is the variable ''y''

R^2 has two dimensions (x and y) so if we set [tex]x=4[/tex] we will have only one free variable in R^2 (which is a line in R^2). Therefore, [tex]x=4[/tex] represents a line in R^2

Now, in R^3 we have three dimensions (x, y and z) so if we set [tex]x=4[/tex] we will have only two free variables (y and z) and [tex]x=4[/tex] will represent a plane (which have two dimensions) in R^3.

2) The equation [tex]y+3x=2[/tex] in R^3 has the free variable ''z'' and given that we select a value (for example for ''x'') the another value from the variable ''y'' is determined. Finally, we have the free variables ''z'' and ''x'', and the variable ''y'' restricted for our choice of the variable ''x''.

The equation [tex]y+3x=2[/tex] in R^3 (given that we have two free variables) represents a plane.

Using the same reasoning, the equation [tex]z-4y=8[/tex] represents a plane (given that it has two free variables : ''y'' and ''x'')

Finally, the pair of equations [tex]y=2,z=8[/tex] set values for ''y'' and ''z'' leading us ''x'' as the free variable. With only one free variable we will have a ''one dimensional'' geometric form. The one dimensional forms in R^3 are lines.

The final answer is a) a line.

Answer:

1. After multiplying both sides by x you need to subtract 1 from both sides

2. You can assume x ≠ 0 because both sides are undefined if x = 0.

Step-by-step explanation:

Given

[tex]\frac{1}{x} + 3 = \frac{3}{x}[/tex]

Required

Which of the options shows the validity of Beth's action

The first option answers the question and the reason is as follows;

Multiply both sides by x

[tex]x * (\frac{1}{x} + 3) = \frac{3}{x} * x[/tex]

Open the bracket

[tex]1 + 3x = 3[/tex]

As stated in option 1; Subtract 1 from both sides

[tex]1 - 1 + 3x = 3 - 1[/tex]

[tex]3x = 2[/tex]

Divide both sides by 2

[tex]x = \frac{2}{3}[/tex]

Another correct option is the option 2

Because the expression is undefined if x = 0

See Proof by substituting 0 for x

[tex]\frac{1}{0} + 3 = \frac{3}{0}[/tex]

Division by 0 is undefined.

Hence, option 2 is also correct

The other options (3 and 4) are incorrect

Answer: A.-2 that the best answer hope this help yu

Step-by-step explanation:31 - (5 - 3 • 4)^2 + 2^6 / 4

31 - (5 - 12)^2 + 2^6 / 4

31 - (-7)^2 + 2^6 / 4

31 - 49 + 64 /4

31 - 49 + 16

-2

Answer:

A. -2

Step-by-step explanation:

31 - (5 - 3 • 4)^2 + 2^6 / 4

31 - (5 - 12)^2 + 2^6 / 4

31 - (-7)^2 + 2^6 / 4

31 - 49 + 64 /4

31 - 49 + 16

-2

Answer:

18

Step-by-step explanation:

you need to get from 9 to 36 in 2 steps by multiplying, so you need to find what gets 9 to 26 in one turn. 9*4=36, and because 4 is square we know you can multiply by 2 twice to get the same effect. 9*2=18. and just to make sure we can check that 18*2=36

Answer:

1/2 or 50%

Step-by-step explanation:

Total numbers: 1 to 6

Prime numbers: 2, 3, 5

Probability

Answer:

(4^-3)(x^-3) y^(18)

or

y^18/ (64 x^3)

Step-by-step explanation:

(4xy^-6)^-3

Distribute the exponent to all terms in the parentheses

(4^-3)(x^-3) (y^-6)^-3

a^ b^c = a^ (b*c)

(4^-3)(x^-3) y^(-6*-3)

(4^-3)(x^-3) y^(18)

If we do not want negative exponents

a ^ -b = 1/ a^b

y^18/( 4^3 x^3)

y^18/ (64 x^3)

Answer:

the meal was $3.45

Step-by-step explanation:

Answer: cost before tip is $20

Step-by-step explanation:

Tip=20(0.15)

= 3

Total = Cost + Tip

= 20 + 3

= 23

Answer:

Answer: The speed of Oliver is 24\dfrac{1}{3}24

3

1

pages per hour.

Step-by-step explanation: Given that Oliver reads 28\dfrac{1}{2}28

2

1

pages of a book in 1\dfrac{1}{6}1

6

1

hours.

We are to express his speed in pages per hour.

We will be using the UNITARY method to solve the given problem.

Number of pages read by Oliver in 1\dfrac{1}{6}=\dfrac{7}{6}1

6

1

=

6

7

hours is

=28\dfrac{1}{2}=\dfrac{57}{2}.=28

2

1

=

2

57

.

Therefore, the number of pages read by Oliver in 1 hour is given by

\dfrac{57}{2}\times\dfrac{6}{7}=24\dfrac{3}{7}.

2

57

×

7

6

=24

7

3

.

Thus, the speed of Oliver is 24\dfrac{1}{3}24

3

1

pages per hour.

Step-by-step explanation:

Plz Mark me as brainliest

Answer:

Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?

Step-by-step explanation:

Answer:

ITS D I TOOK THE TEST

Step-by-step explanation:

Easy Algebra question!

Let's use "x" as a variable.

The equation would be x+x+60 = 240 with "x" being George's weight.

Subtract 60 from both sides and you get 2x = 180.

From there you divide both sides by 2, getting x=90.

"x" is George's weight, so he weighs 90 pounds.

ANSWER: 90 POUNDS

The weight of George is 90 pounds and the weight of George's brother is 150 pounds.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

George weighs 60 pounds less than his older brother.

Together they weigh 240 pounds.

Let George weigh be x and his brother weigh be y.

x + y = 240 ...1

x = y - 60 ...2

Then from equations 1 and 2, we have

2x = 180

 x = 90

Then y will be

y = 90 + 60

y = 150

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer: the lines on the outside mean absolute value and the absolute value of -3 is 3

Step-by-step explanation:

Answer:

B. X =-12

Step-by-step explanation:

- 10x + 1 + 7x = 37

-10x + 7x = 37 - 1

-3x = 36

x = 36/-3

x = - 12

Answer: (0,3) & (0,-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply the 6 and 4 together. 6*4 = 24

The next part is a bit tricky. Add the powers on the base 10. Keep the base 10.

10^(6 - 1) = 10^5

Now put the two parts together. 24 * 10^5

The number in front of the 10 must be between 1 and 10.

So 24 can be written as 24 = 2.4 * 10^1

2.4 * 10^1 * 10^5 = 2.4 * 10^(5 + 1) = 2.4 * 10^6

Answer:  40 peaches

Step-by-step explanation:

Let x represent (1/2) the peaches

and y represent (1/2) the strawberries

          Peaches            Strawberries               Ratio

Alice:     x - 3                        y                           1:4

Bryan:     x                        y - 8                          1:3

We can create a system of equations:

Alice: 4(x - 3) = y      -->   4x - 12 = y

Bryan: 3(x) = y - 8  

Substitute y = 4x - 12 into the Bryan equation:

3x = (4x - 12) - 8

3x = 4x - 20

-x = -20

x = 20

Therefore, Alice and Bryan each had 20 peaches, which means Bryan bought a total of 40 peaches.

Answer:

Step-by-step explanation:

[tex]-6+x-3 \\x =2\\\\-6+2-3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\-6+2=-4\\\\=-4-3\\\\=-7[/tex]

Answer:

-7

Step-by-step explanation:

So we have the expression:

[tex]-6+x-3[/tex]

And we want to evaluate it when x is 2.

So, substitute in 2 for x:

[tex]=-6+(2)-3[/tex]

Add the first two terms:

[tex]=-4-3[/tex]

Subtract:

[tex]=-7[/tex]

And that's our answer :)

Answer:

Domain = 3, 6, -1, 5, -4

Step-by-step explanation:

The Domain is the first coordinate of a coordinate set so it is x

Hope This Helps :)

Answer:

Answer is -6

Step-by-step explanation:

first do from small bracket -(-6)=+6

and then -6-6=-12

do-12+6=-6

its b because you can round 363 to 400 and 553 to 600 400 + 600 = 1000

Answer:1 hour and 10 mins

Step-by-step explanation: on Monday he raps for 10

Tuesday he raps for 1 hour

1 h +10m =1 h and 10 min

Answer:

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a yields zero. This operation is also known as the opposite (number), sign change, and negation.

Answer:

Hey there!

[tex]d= \sqrt{(-1-(-3)^2+(-1-1)^2}[/tex]

[tex]d=\sqrt{8}[/tex]

d is approximately 2.8 units.

Let me know if this helps :)

Answer:

x=1

Step-by-step explanation:

-35x+85x-24=26

Combine like terms

50x -24 = 26

Add 24 to each side

50x-24+24 =26+24

50x = 50

Divide each side by 50

50x/50 = 50/50

x=1

Answer:

x=1

Step-by-step explanation:

subtract 35 from 85 which would equal 50 and then add x

so 50x-24=26

add 24 to 26 because you want x by itself

which would equal 50

50x=50

divide by 50 on both sides

50/50=1

x=1

Answer:

First problem:

Limiting the Domain to [tex]x\leq 0[/tex]   (option A in the list)

Second problem:

All the three statements are true, so pick option D)

Step-by-step explanation:

Recall that a function in order to have inverse needs to be a one-to-one function. In the case of the function they give you in the problem:

[tex]f(x)= 3x^2+1[/tex]

the graph corresponds to a parabola with vertex at x=0 and y=1 (0, 1), and since it has two branches that correspond to equal y-values for opposite pairs of x values, it doesn't satisfy the conditions for the existence of inverse. But if we limit the Domain of it considering just one half of the graph (for example limiting the Domain to the values to one side of the parabola's vertex, then this restricted function is one-to-one and we can find its inverse.

So the option of limiting the Domain to x-values smaller than or equal to zero, suggested in option A of the list of answers will do the job we need.

In the following problem, the three first statements are true for an inverse function, so pick option D that says that all previous statements are true.

Answer:

16= 4²

25= 5²

36= 6²

49= 7²

64= 8²

81= 9²

so, third option is correct I.e. 49

hope it will help....

Answer: 480 items per day, and 14,00 items per mounth.

Step-by-step explanation:

20(24) = 480 items per day

480(30) = 14,400 items per month

Answer:

20x24x30=14,440

Step-by-step explanation: