Simplify the function f (x) = one-half (27) Superscript StartFraction 2x Over 3 EndFraction. Then determine the key aspects of the function.



The initial value is
.

The simplified base is
.

The domain is
.

The range is
.

Step-by-step explanation:

so, we need to find the smallest common multiple of 36 and 42.

that is the smallest number I can divide both by 36 and 42 without remain.

let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :

36 / 2 = 18

18 / 2 = 9

9 / 3 = 3

3 / 3 = 1 finished

therefore,

36 = 2×2×3×3

42 / 2 = 21

21 / 3 = 7

7 / 5 does not work

7 / 7 = 1 finished

therefore,

42 = 2×3×7

to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.

and we see 2 times 2, 2 times 3 and 1 time 7.

so, the SCM = 2×2×3×3×7 = 252.

there is no smaller number that can be divided by both 36 and 42 without remain.

so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).

Answer:

Step-by-step explanation:

Both B and C show a decreasing plot, while C is linear.

Only A is a positive ignoring the outliers.

Answer:

I think it's. y=-2/1x+2

Answer:

a ratio between two different units

for example 60miles per 5 hours

Step-by-step explanation:

let me know if you need unit rate yoo :)

Answer:

499.2 cm^2

Step-by-step explanation:

((12*10.4)/2)*8=6*10.4*8=499.2

Formulas Used:

Area of triangle - 1/2bh

Answer: y = -3/5x

............................................

Answer:

x = 1

y = -3

Step-by-step explanation:

There are 2 ways, in this case the best way is by substitution so:

y = x - 4

y = -3x

basically you replace one of the unknown numbers in one of the equations so the equation will have only one unknown number.

y = -3x

so that means that

-3x = x - 4

you solve the equation:

-3x - x = -4

-4x = -4

x = -4 : -4

x = 1

Now we know that x is 1 so now we find out what is y

y = 1 - 4

y = -3

Answer:

c

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

20% off means 80% of original price

80% = 8/10 or 0.8

75 * 0.8 = 60

you could also do 20% = 1/5, 1/5 of 75 is 15, 75-15=60

Answer:

[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]

y-intercept: (0, 32), b = 32

[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

Step-by-step explanation:

Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.

Use these points to solve for the slope of their line.

Let (x₁, y₁) = (0, 32)

    (x₂, y₂) = (100, 212)

Substitute these points into the following formula for the slope:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]

[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]

Therefore, the slope of the line is  [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].

Next, the given problem asks for the value of the y-intercept.  The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.

To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:

y = mx + b

[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]

212 = 180 + b

Subtract 180 from both sides to isolate b:

212 - 180 = 180 - 180 + b

32 = b

The y-intercept is (0, 32), where b = 32.

Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex],  and the y-intercept, b = 32:

The linear equation in slope-intercept form is:  [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

Answer:

2nd one is parallel and last one is perpendicular.

Answer:

12-157.5  13-6ft

Step-by-step explanation:

the first one just look up 65% of 450 and minus the number you get by 450

the second one do the butterfly method

[tex]\frac{5}{12} \frac{x}{14.4} \\[/tex]

the heights on top and shadows on bottom

12x=72

x=6

Answer:

3.81 km

Step-by-step explanation:

You first have to get the meters into kilometers. The conversion rate for this is 1 meter = 0.001 kilometer.

So multiply 670 by 0.001 which gives you 0.67.

Then add this to the amount he has already walked to get the total amount of kilometers he has walked.

Answer:

3.81 or

[tex]3 \frac{81}{100} [/tex]

Step-by-step explanation:

explanation above

Answer:

I wish a could help u,

Step-by-step explanation:

I dont know what is that:)

Answer: Percentage increase is 87.02%.

Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.

a. Subtract value in 2012 from value in 2011

b. Divide the answer in part a by value in 2011.

c. Multiply the answer in part b by 100.

We have the percentage increase.

mark brainliest pls

Answer:

x = 3

Step-by-step explanation:

2 - 2x = -3 - -1

2 - 2x = -4

-2x = -6

-2x / -2 = 1x

-6 / -2 = 3

ur answer is then 1x = 3 or x = 3.

Answer:

32°

Step-by-step explanation:

16 × 2 = 32

Keywords:

Bisected; means to divide into two parts.

Answer:

So, original angle = 16°+16° =>32°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

-2.4, or -72/30 or -2 4/10

Step-by-step explanation:

m + np - q

m = 1/15

n = -1/3

p = -0.4

q = 2 1/3

1/15 + (1/3)(-0.4) - 2 1/3

1/15 + (-4/30) - 2 1/3

2/30 - 4/30 - 70/30

-2/30 - 70/30 = -72/30

-72/30 = -2.4

-Chetan K

Answer:

None of those options

Step-by-step explanation:

I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options.  Here's my work:

[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]

I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)

Answer:

20yd²

Step-by-step explanation:

6 × 6 = 36

4 × 4 = 16

36

-16

20

Answer: h < 7

Step-by-step explanation:

h + 3 < 10

h + 3 - 3 < 10 - 3

simplify:

h < 7

[tex]\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} [/tex]

[tex]\sf \longmapsto(2x+3y)(2x−3y)[/tex]

[tex] \boxed{\sf (2x+3y)(2x−3y)}[/tex]

Answer:

Choice D

Step-by-step explanation:

Factorise: 4x²-9y²

We can obtain the factorization by this identity:

Rewrite the given expression as:

Let (2x)² be a and (3y)² be b according to the identity.

So applying the identity:

Choice D is accurate.

Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50

Using the slope - intercept relation :

b = change in cost per mile

c = constant price added for every taxi ride

Hence, the expression can be written thus :

Learn more : https://brainly.com/question/17225268

Answer:

P = 24

Step-by-step explanation:

P = 2L + 2W ( substitute L = 4, W = 8 into the formula )

P = 2(4) + 2(8) = 8 + 16 = 24

Answer :

Step-by-step explanation:

P=2(4)+2(8)

P=8+16

P= 24

Answer:

The final total including tax is 838.5

The sale tax is 58.5

Step-by-step explanation:

The perimeter of the octogon is 371.14 millimeters, and each side is about 46.4 millimeters.

Given that an octagon has an apothem of 56 millimeters and an area of 10,391.90 square millimeters, to determine what is the approximate perimeter of the octagon and what is the approximate length of one side of the octagon, the following calculation must be performed:

Therefore, the perimeter of the octagon is 371.14 millimeters, and each side is about 46.4 millimeters.

Learn more about maths in https://brainly.com/question/25749130

Answer:

Perimeter is 371mm

Length of one side is 46mm

Step-by-step explanation:

Got it right on Edge :)

[tex]y = 2 \times + 11 = x = - \frac{11}{2} [/tex]

[tex]x = - \frac{11}{2} [/tex]