linear functions
questions pt1
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The simplified expression of the following expression is [tex](\dfrac{3^{49}}{6^{28}} )[/tex].

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Rewrite the equation as :

[tex](\dfrac{3^7}{6^4} )^7[/tex]

Multiply both by [tex](\dfrac{3^7}{6^4} )^7[/tex]:

[tex](\dfrac{3^{7 \times 7}}{6^{4 \times 7}} )[/tex]

Use the power rule to combine exponents:

[tex](\dfrac{3^{49}}{6^{28}} )[/tex]

The simplified expression of the following expression as;

[tex](\dfrac{3^{49}}{6^{28}} )[/tex]

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Answer:

I think its 5x - 37

Step-by-step explanation:

5(x-8)+3

5x - 40 + 3

5x - 37

Hope this helps!

Answer:

parallel

Step-by-step explanation:

1st step get the equations in y=mx+b

3y = -2x + 18

(÷ each side by 3)

y = -2/3x + 6

6x + 9y = 18

(subract 6x to get it to the other side)

9y = -6x + 18

(÷ both sides by 9)

y = -6/9x + 2

(simplify -6/9)

y = -2/3x +2

2nd step look at the equations

y = -2/3x + 6 and y = -2/3x +2

The lines are at different places and will never touch, having same slope theres never a possibility they would look something like this \\

Answer:

$7

Step-by-step explanation:

JANET:

140 * 0.7 = 98

MIRIAM:

140 * 0.75 = 105

105-98=7

Answer:

Each computer costs £279.

37 computers will be needed.

a)Estimate how much money will she need altogher to purchase the computers?

£279 · 37 = £10,323

b) Estimate how much tickets will she need to sell in order to buy all of the computers? Susana plans to sell each raffle ticket for £1.89.

£10,323/£1.89 = 5461.905 tickets.

c) On Thursday, the day before the raffle, Susana had sold 4176 tickets.  Estimate how many more tickets she will need to sell in order to buy all of the computers​.

5461.905 tickets - 4176 tickets = 1285.905 tickets ≈ 1286 tickets

Answer:

no answer but it says Estimate the other person found the exact amount not the estimate.

Step-by-step explanation:

it could help you if you know how to estimate

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define function

f(x) = x² + 3x³

f(x + h) is x = x + h

Step 2: Simplify

Answer:

0.8

Step-by-step explanation:

25.4-23.8=1.6

25.4+1.6=27

For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!

Answer:

0.8

Step-by-step explanation:

Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8

Answer:

slope(m)= -3

Step-by-step explanation:

Answer:

NS= 20

Step-by-step explanation:

4x / 3x-5 (2/1)

4x / 6x-10

-6x -6x

-2x / -10

X / 5

X=5

NS= 4x

NS= 4(5)

NS= 20

Answer:

c

Step-by-step explanation:

Answer:

just take A (adult) and S (student) and put  9a + 11s = 206 and 9a + 13 s = 232 and go from their

Step-by-step explanation:

Answer:

12 over -8

Step-by-step explanation:

Answer:

5/17 = x/12

Using crossing multiplication, the answer is 3.5

Step-by-step explanation:

Rewrite the equation as 17x = 60

x = 60/17

x = 3.5 (rounded to the nearest 10th)

Good luck!

Answer:

D is the answer

Step-by-step explanation:

D is the answer because they don't go opposite ways on a graph (Ex: going higher and lower)

Answer:

D

Step-by-step explanation:

D is for Deeznuts

Answer:

The answer is x= 15/56

Step-by-step explanation:

hope that helps you

56x=15

Divide both side by 56 to find the x.

56x/56=15/56

x=15/56

Answer: 3

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

POQ = 86 degrees

Step-by-step explanation:

NOQ = 123

NOP = 37

123 - 37 = 86

POQ = 86 degrees

Answer:

Nate's MP3 has 20 hours of memory.

Step-by-step explanation:

1. multiply 9.4 times 100

2. divide that by 47

3. you get your answer of 20 hours

Answer:

(3)

Step-by-step explanation:

Analise the slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

(1). (19-20)/(18-17) = - 1 ; (18-19)/(19-18) = - 1 ; (17-18)/(20-19) = - 1 ⇒ table represents a linear function.

(2). (-17+16)/(18-17) = - 1 ; (-18+17)/(19-18) = - 1 ⇒ table represents a linear function.

(3). (17-16)/(18-17) = 1 ; (19-17)/(19-18) = 2 ⇒ table represents a nonlinear function.

Answer: The sample loses 7/8 of its mass every 2.05 months.

Step-by-step explanation:

I got it right on khan academy

Answer:

x=3.8

Step-by-step explanation:

You would use the inverse operation by subtracting 3.2 from both sides of the equation, leaving you with x=3.8

Answer:

Alexa lost 16 points overall

Step-by-step explanation:

To determine whether Alexa had a net receipt or loss of points, we will fine the total points received or lost, and find the difference:

points lost:

3 point for each of the 7 questions she answered wrong

lost point = 3 × 7 - 21 points

Points received:

5 points for answering a bonus question

point received = 5 point

The points lost (21) is greater than the points received (5), hence, there was a net loss. The net loss is calculated as follows:

points lost - points received

= 21 - 5 = 16

∴ Alexa lost 16 points overall

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Hope this helps!

Two linear equation has their solutions on the points where they intersect each other.

The solution of the given system of equations is:

x = 2, y = 3.

Each linear equation represents a straight line.

If both the given lines intersect at one point, then that point's coordinate is the solution of the given system of the equations.

If both the given lines are parallel, then there is no intersection and thus no solution.

If both the lines are coincident(that is, lying over each other fully), then there are infinite points of intersection, as they touch each other on infinite points, and thus infinite solutions to the given system of equations exist.

[tex]y = 3x-3\\ x+y = 5 [/tex]

Substituting the value of y from first equation in the second equation, we get:

[tex]x + y = 5\\ x + (3x-3) = 5\\ x+3x = 5+3\\ 4x = 8 \\ x = 2\\ [/tex]

Thus, putting this value of x in first equation, we get:

[tex]y = 3x - 3\\ y = 3 \times 2 - 3\\ y = 6-3\\ y = 3[/tex]

Thus, the system has one solution and it is x = 2, y = 3.

Using graphing, we can see that point of intersection is (x,y) = (2,3)

Learn more about solutions of system of linear equations:

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Answer:

A

Step-by-step explanation:

Edg2020

The value of the argument of z is -π/3.

The angle that the line from Ф, z to the origin creates with the positive direction of the real axis is known as the argument of z is Ф, and it is variously represented by the symbols arg ( z ), (z) or Ф. Because it is an argument of z is Ф, then 2 nπ + Ф is likewise a valid argument, the argument of z can take on any number of conceivable values.

We define a singular value known as the major argument of z to be more precise.

Given z = 1/16 - √3/16i

equation of z is x + iy

here x = 1/16 and y = -√3/16

to find the angle,

tanФ = y/x

tanФ = (-√3/16)/(1/16)

tanФ = -√3

Ф = tan⁻¹(-√3)

Ф = -π/3

Hence  arguement of z is -π/3.

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Answer:

Confused

Step-by-step explanation:

so what do you ever so mean by "look at my picture" ????

Answer:

Multiply 20

answer:[tex]20^{2}[/tex] feet

Step-by-step explanation:

Answer:

Step-by-step

Plot the point (-1,3) and from the point rise up 2 points and run across 3 points, which will give the second point.