You can use a calculator if you want :)

Transformations are used to move a function from one position to another. The new function g(x) is [tex]g(x) = \frac{1}{x-1} - 6[/tex]

Given that

[tex]f(x) = \frac 1x[/tex]

When shifted 6 units down. the rule of transformation is:

[tex](x,f(x)) \to (x,f(x) - 6)[/tex]

So, we have:

[tex]f'(x) = f(x) - 6[/tex]

[tex]f'(x) = \frac 1x - 6[/tex]

When shifted 1 unit left. the rule of transformation is:

[tex](x,g(x)) \to (x -1,f'(x))[/tex]

So, we have:

[tex]g(x) = f'(x - 1)[/tex]

[tex]g(x) = \frac{1}{x-1} - 6[/tex]

Hence, the new function g(x) is [tex]g(x) = \frac{1}{x-1} - 6[/tex]

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Answer:

3 1/3 mph

Step-by-step explanation

2/3 mile divided by 1/5 hour

To divide by a fraction, MULTIPLY BY THE RECIPROCAL!

This gives 5(2/3) = 10/3 = three & 1/3 mile per hour, or about 3.33 mph.

Answer:

English?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

3x + 5 = 3x + 7

Reorder the terms:

5 + 3x = 3x + 7

Reorder the terms:

5 + 3x = 7 + 3x

Add '-3x' to each side of the equation.

5 + 3x + -3x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0

5 + 0 = 7 + 3x + -3x

5 = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0

5 = 7 + 0

5 = 7

Solving

5 = 7

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer:

x = 400/(3 c)

Step-by-step explanation:

Solve for x:

(9 c x)/8 + 20 = 170

Hint: | Isolate terms with x to the left-hand side.

Subtract 20 from both sides:

(9 c x)/8 = 150

Hint: | Solve for x.

Divide both sides by (9 c)/8:

Answer: x = 400/(3 c)

Answer:

1.10

Step-by-step explanation:

The velocity of the combined cars after the collision is 1.10 m/s.

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

The momentum of an object is equal to its mass multiplied by its velocity.

The first car has a mass of 1,250 kg and a velocity of 2.24 m/s, its momentum is 1,250 kg x 2.24 m/s = 2,800 kgm/s.

Similarly, since the second car has a mass of 1,300 kg and a velocity of 0 m/s (it is stopped), its momentum is 0 kgm/s.

Therefore, the total momentum of the two cars before the collision is:

⇒ 2,800 kgm/s + 0 kgm/s = 2,800 kg m/s.

After the collision, the two cars stick together and move forward as one unit. We can find the velocity of the combined cars by dividing their total momentum by their total mass.

The total mass of the cars is:

⇒ 1,250 kg + 1,300 kg = 2,550 kg.

So, the velocity of the combined cars after the collision is:

⇒ 2,800 kgm/s / 2,550 kg = 1.098 kgm/s.

To two decimal places, this velocity is 1.10 m/s. Therefore, the correct answer is 1.10 m/s.

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Answer:

325

Step-by-step explanation:

h + c = 700

c = 50 + h

50+ h + h= 700

50+2h =700

2h=700-50

2h = 650

h=650/2

h=325

c=325+50

c=375

check 325+375=700

Answer:

I am doing this for the gram say hi

Step-by-step explanation:

========================================================

Explanation:

Let's say the teacher pulls the two boys out of the line, and stands in their place. So we have 5 girls and 1 teacher making 6 people total.

There are 6! = 6*5*4*3*2*1 = 720 different permutations here. Order matters. This involves the teacher, so let's have him/her step out of the line and have the two boys replace the teacher's position. This guarantees the boys stick together. For any permutation, we have 2 different ways to arrange the boys. So we have 2*720 = 1440 different ways to arrange the students so that the two boys are next to each other.

This is out of 7! = 7*6*5*4*3*2*1 = 5040 different permutations overall (we're arranging 5 girls+2 boys = 7 people).

The probability we're after is going to be 1440/5040 = 2/7

--------

Or you could see it like this

1440 = 2*6!

5040 = 7! = 7*6!

So,

1440/5040 = (2*6!)/(7*6!)

1440/5040 = 2/7

Answer:

520 Pizzas

Step-by-step explanation:

Given

[tex]Duration = 10\ years[/tex]

Required

Determine the total number of Pizzas

Since, the Pizza is bought on a weekly basis

and there are 52 weeks in a year.

Number of Pizzas (P) is calculated as thus:

[tex]P = 52 * Duration * Pizzas[/tex]

[tex]P = 52 *10 * 1\ Pizza[/tex]

[tex]P = 520\ pizzas[/tex]

Answer:

About $59.66

Step-by-step explanation:

To find the amount of tax was paid, multiply 64.50 by 0.075 (because 0.075 = 7.5%). This would be 4.8375, which when rounded is 4.84. You subtract 64.50 by 4.84 to get 59.66, but because I rounded, it is about $59.66.

Answer:

60

Step-by-step explanation:

First, change the percentage to a decimal and write the equivalence of the sales tax amount. Let x be the original cost of the item.

Sales tax amount =x⋅0.075

Next, substitute the value into the equation:

Original Cost + Sales Tax Amount = Total Cost

x+0.075x=64.50

Add like terms.

1.075x=64.50

Divide both sides by 1.075 to isolate the unknown value.

x=$60

Answer:

well in my opinion i love the the Dallas cowboys

Answer:

Columbus Blue Jackets

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

The reason is you take the .45 × 10 the 4 will be brought to the left due to the ten pushing it. If it was .45 x 100 it would be 45. Apply that with all decimals x 10 , 100 , 1000 or higher

a(50) = 238

The constant (diference) = 5

-2 - (-7) = - 2 + 7 = 5

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

use formula

a(n) = a + (n - 1)d

a = - 7

n = 50

d = 5

a(50) = - 7 + (50 - 1)5

= - 7 + 49ₓ5

= - 7 + 245

= 238

Good luck !

Answer:

60%

Step-by-step explanation:

It is 60% because, First we have to make 3/5 a percent so we do 5 times 20 which is 100, and 3 times 20 which is 60. So it total it is 60/100 which is 60%

Answer:

[See Below]

Step-by-step explanation:

_________________________________

✦ An easier way of doing this is to change the fraction to an equivalent fraction:

✦ So now it's easier to change to a percentage.

_________________________________

So your answer would be:

_________________________________

~Hope this helps Mate. If you need anything feel free to message me.

[tex]-Your~ Friendly~ Answerer,~ Shane[/tex] ☺

Answer:

12 - 2x = -34

Step-by-step explanation:

Im not entirely sure if this is correct but yeee

High Hopes^^

Barry-

Answer:

Speedie ran the race in 0.708(3)% of an hour, the 3 in the parentheses means the 3 repeats forever

Step-by-step explanation:

We have 25.5/3600, and when we convert it to a decimal, we have 0.00708(3), the 3 in the parentheses means the 3 repeats forever. To convert it to percentage, we multiply it by 100, to get 0.708(3). Hope it helps!

Answer:

40%

Step-by-step explanation:

Every week you he buys 4 number of 2 Litres bottle of lemonade.

Thus, let's say cost of each bottle is X.

This means he total cost is 4X

Now, total litres = 4 × 2 = 8 litres

Thus, cost per litre = 4X/8 = ½X

Now, we are told that Last week the bottles on the shelf were limited edition “2.5 litres for the price of 2 litres” bottles ".

This means that now, it is cheaper.

However, the supermarket also had a “buy 3 bottles, get another one free” offer.

Now since he buys 8 litres weekly, now since it's 2.5 L bottle, he will buy 3 since he will be given 1 free for every 3 he buys.

Thus, total litres he is paying for = 2.5 × 3 = 7.5 litres

Thus, cost per bottle is; 3X

Since he is getting 1 bottle free, then total bottle he gets is; 7.5 L + 2.5 L = 10L

Thus;

cost per litre is now; 3X/10

Difference in costs per litre is;

½X - 3X/10 = X/5

percentage of the cost of four bottles of lemonade lower than usual last week = (X/5)/(½X) × 100% = 2/5 × 100% = 40%

Answer: (z + 2)(z - 3)

Step-by-step explanation:

First, we have 1 as a coefficient on z², so we multiply that by -6, which gives us -6. Now we must find out what two numbers when multiplied, give us -6, and when added together, give us -1 (z's coefficient). Going through -6's factors, I got -3 and 2 since we need a negative one when they are added together. Now we can input our values:

(z - 3)(z + 2).

Double checking, we get the starting equation, which means our factorization was correct, and so is the solution.

Note: it does not matter which binomial comes first because you will get the same answer regardless of its position.

Answer:

112

Step-by-step explanation:

56*2 and then you just find a multiple that is really close to 112 and i am in 5th grade.

Answer:

Option C.  

Step-by-step explanation:

( 16 + 40 ) =

8 x 2 = 16

8 x 5 = 40

8 x ( 2 + 5 )

Answer:

I don’t even know man

Step-by-step explanation:

Answer:

negitive 3

Step-by-step explanation:

i think of it like digging. Negitive going down and positive going up aka put dirt down in the whole. so i am down 7 so i add dirt because the 4 is positive. so then i am at 3. wait make that negitive 3. so the answer is negtive 3.

Answer:

-3

Step-by-step explanation:

Answer:

D!

Step-by-step explanation:

To find the area, we multiply the length times the width to find the number of squares in each box.

A) 1 square down times 7 squares across is 1 x 7, which is 7.

B) 2 squares down times 6 squares across is 2 x 6= 12.

C) 3 squares down times 5 squares across is 3 x 5 = 15.

D) 4 squares down times 4 squares across = 4 x 4 =16.

16 is the biggest number here, so that is the greatest area!

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Have a great day!

Answer: 1.99

Step-by-step explanation: It's about time I tell you how this works. So here it says price PER apple. So PER means we divide 7.96/4 to get 1.99. Now you may be like, How do I know that I do 7.96/4? Why not 4/7.96? Well it says PRICE per APPLE. Price being first so we do 7.96 which is the price, divided by 4 which is the apples. Then we just repeat this process if you want to check your work. So 9.95/5, and 11.94/6

Answer:

62.5%

Step-by-step explanation:

you would do 5 divided by 8 to find the decimal form then move the decimal over 2 spots to the right and that is the percent value.

Answer:

You can demonstrate some of the exercises that your trainer taught you

Step-by-step explanation:

The rest of the options are too formal.

You can demonstrate some of the exercises that your trainer taught you. The correct option is C.

Persuasive communications include a variety of attributes designed to increase persuasions, such as an appealing source, a message with convincing arguments, or efforts to make the topic seem personally relevant to the audience.

You can prove to your friend that you have been working with a trainer at the gym by demonstrating some of the exercises that your trainer taught you.

Therefore, you can demonstrate some of the exercises taught to you by your trainer. C is the correct answer.

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Answer:

35 on the first day, 19 on the second

Answer:

31 and 23

Step-by-step explanation:

she ate 23 candies on the first which add 8 equals 31. add 23 to that and you get 54 hope this helps