Simplify the following expression:

2x − 2y + 5z − 2x − y + 3z

x − 3y + 8z
2x − 2y + 8z
3y + 8z
−3y + 8z

Answer:

D) <1 and <2, <1 and <8, <2 and <3, <3 and <8

Step-by-step explanation:

Supplementary angles are angles that add to 180 degrees. So, D is correct.

Answer: G(x)= 1/x-4

Step-by-step explanation:

The required function is G(x)=1/(x-4)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

The given parent function is

f(x)=1/x

By taking f(x), and applying a left or right and/or up or down transformations to it,

The function could be written using the equation f(x-h)+k.

Doing so will make the graph of the function move h units to the left or right. (Positive or negative) (make sure the operation before the h is subtraction when determining the sign of h)

Also, when finding k (up and down) (positive or negative) apply this function.

Then the new function we get

G(x)=(x-h)+k

As a result, plug in your right 4 units as h, and since you are not needing to move up or down k would be 0.

So, G(x)=1/(x-(4))+0

or simplified,

G(x)=1/(x-4)

To learn more about function visit:

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Answer:

look down there

Step-by-step explanation:

First ball:

Probability of drawing a white ball is 5/8

Probability of drawing a black ball is 3/8

Second ball:

This depends on the first ball drawn, lets say you drew a white ball initially, 4 white balls are left out of 7 balls in total. The probability of a white ball in the second pick is 4/7.

Total probability of drawing two white balls is 5/8*4/7 (since they are independent events).

If you picked a black ball initially, picking another black ball would have a probability of 2/7, on similar grounds , total prob for 2 blacks would be 3/8*2/7.

The probability that you pick 2 balls of same color is (5/14 + 3/28) = 13/28. (Since they are mutually exclusive events)

The probability of picking a black ball and then another black ball is; Due to conditional probability and is equal to 1/15

Conditonal probability means that the probability of one event is affected or depends on the probability of another event.

Now, total balls in the bag is;

Total balls = 5 + 3 + 2

Total balls = 10 balls

Probability of first picking a black ball is;

P(black ball first) = 3/10

Now, when a black ball is picked, there will ba 9 balls left in the bag of whih only 2 are black. Thus, the probability of picking another black ball is;

P(black ball second) = 2/9

Thus;the probability of picking a black ball and then another black ball is;

P(black ball | black ball) = 3/10 * 2/9

P(black ball | black ball) = 1/15

Read more about Conditional Probability at; https://brainly.com/question/10739997

Answer: 80 minutes

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each tank:

An empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute.  

So, the amount of water of the tank is equal to the filling rate, 6 liters per minute (6m)

The second 1200 gallon tank full of water is being drained at a rate of 9 gallons per minute.

So, the amount of water in the tank is equal to the amount of water already in the tank (1200 g), minus the draining rate (9m)

Since both tanks will have the same amount of water:

6m = 1200-9m

Solving for m  (minutes):

6m+9m= 1200

15m = 1200

m= 1200/15

m= 80 minutes

Feel free to ask for more if needed or if you did not understand something.

Answer:

c.20

Step-by-step explanation:

x^2+21^2=29^2

x^2+441=841

x^2=400

x=20

Answer:

A pair of Nike Air Jordan sneakers cost $139.99.

There is a 35% off sale going on at Foot Locker.

=> Sale price = 139.99 - 139.99 x 35/100 = ~$90.99

Sales tax is 8.125% in Orange County.

=> The tax = 90.99 x 8.125/100 = ~$7.39

The total price is calculated by:

P = The sale price + The tax = 90.99 + 7.39 = ~$98.38

Hope this helps!

:)

Answer: Sale price before tax $90.99

Tax $7.39

Total after tax $98.38

Step-by-step explanation:

Sale price 139.99 x 0.65 = 90.99

Tax 90.99 x 8.125/100 = 7.39

Total 90.99 + 7.39 = 98.38

Answer:

$78,000

Step-by-step explanation:

Because their are 52 weeks in a year and 52 X 1500 is $78,000

Answer:

Since there are 52.14 Weeks in a year you would multiply how many weeks there are in a year and how much Mr.white gets paid weekly and you get $78,210 in year.

Step-by-step explanation:

Answer A is correct. C is correct.

Step-by-step explanation:

Answer: y=-5x+7 ✌️ Is correct

Y=Mx+b

Answer:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

5+(-4)=14+(-13)

Explanation:

5+(-4)=1

14+(-13)=1

Answer: $2400

Step-by-step explanation:

SI = Prt / 100

SI = 2000 x .04 x 5

SI = 400

FInal Amount = 2000 + 400 = $2400

Answer:

( original - new)/ original * 100 %

Step-by-step explanation:

Take the new amount

Subtract the original amount

( original - new)

Then divide by the original amount

( original - new)/ original

Multiply by 100% to get  the percent loss

( original - new)/ original * 100 %

Answer:

D = √(6 - 9)^2 + (3 + 2)^2]

Step-by-step explanation:

This is an application of the Pythagoras theorem:

D = √ [(x2 - x1)^2 + (y2 - y1)^2] where the 2 points are (x1, y1) and

(x2, y2).

So in this case we have

D = √[(6 - 9)^2 + (3 - -2)^2]

D = √(6 - 9)^2 + (3 + 2)^2]

Answer:

35/80

u want to find a number that is proportional to 35/80, then all u need is a number that is equivalent...another words, if it is proportional, it is an equivalent fraction to 35/80.

there can be several answers to this...such as 35/80 reduces to 7/16...so 7/16 is proportional....or if u multiply numerator and denominator by the same number, u will find a proportional number...

example :

35/80 * 2/2 = 70/160...this is proportional

35/80 * 3/3 = 105/240...this is proportional

35/80 * 4/4 = 140/320...this is also proportional

and so on....

so without giving us any answer choices, there can be many numbers to choose from

Answer:

n-3/n

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

-2+(-18)

-2-18

-20

Answer:

-20

Step-by-step explanation:

Have a good day and stay safe!

Answer:

The length of the missing side is 21.9 m.

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c². (a = small side, b = long side, c = hypotenuse). Substituting the values from this triangle into the Pytagorean Theorem equation, we get:

9² + 20² = c²

81 + 400 = c²

481 = c²

√481 = c

21.9 = c

Answer:

C i know this for a fact

Step-by-step explanation:

hope this helps ''whole lotta love'' NUNU

Answer:

answer is c

Step-by-step explanation:

took the test lol

Answer:

[tex]x=4/55\\y=-69/55[/tex]

Step-by-step explanation:

[tex]\frac{55}{4} y=\frac{-69}{4}[/tex]

[tex]y=\frac{-69}{55}[/tex]

[tex]x=\frac{-9(-69/55)-11}{4}\\x=\frac{4}{55}[/tex]

Answer:

(- 4, - 3 )

Step-by-step explanation:

Given the 2 equations

- 4x + 9y = - 11 → (1)

- 3x + 7y = - 9 → (2)

Multiplying (1) by 3 and (2) by - 4 and adding will eliminate the term in x

- 12x + 27y = - 33 → (3)

12x - 28y = 36 → (4)

Add (3) and (4) term by term to eliminate x

- y = 3 ( multiply both sides by - 1 )

y = - 3

Substitute y = - 3 into either of the 2 equations and evaluate for x

Substituting into (1)

- 4x + 9(- 3) = - 11

- 4x - 27 = - 11 ( add 27 to both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Solution is (- 4, - 3 )

Answer:

One solution

Step-by-step explanation:

-t+5=7

-t=2

t=-2

Answer:

One solution: t = -2.

Step-by-step explanation:

To figure out how many solutions an equation has, it would be best to compute the solution first.

Given:

3t + 5 = 4t + 7 // Subtract 3t from both sides.

5 = t + 7 // Subtract 7 from both sides.

t = -2.

I hope this helps!

Answer:

4480n^3

Step-by-step explanation:

just multiply 80n x 56n and get 4480n but since 80n is to the 2nd and 56n is to the first add them to get to the power of 3 and put that on 4480n

Answer:

8n(10n +7)

Step-by-step explanation:

80n^2+56n​

Factor out the greatest common factor 8n

8n(10n +7)

[tex] \frac{7 - \sqrt{} 29} {2} [/tex]

[tex]x {}^{2} - 7x = - 5 \\ x {}^{2} - 7x - ( - 5) = - 5 - ( - 5) \\ x {}^{2} - 7x( - 5) = 0 \\ x {}^{2} - 7x + 5 = 0 \\ x = \frac{ - ( - 7 + \sqrt{( - 7 {) }^{2} - 4 \times 5} }{2} \\ x = \frac{ - ( - 7 + \sqrt{49 - 4 \times 5} }{2} \\ x = \frac{ - ( - 7) + \sqrt{49 \times 20} }{2} \\ x = \frac{ - ( - 7) \sqrt{29} }{2} \\ x = \frac{7 + \sqrt{29} }{2} \\ \frac{ \sqrt{29 + 7} }{2} \\ x = \frac{7 - \sqrt{29} }{2} \\ x = \frac{ \sqrt{29 + 7} }{2} \\ x = \frac{7 - \sqrt{29} }{2} [/tex]

Answer:

60 miles

Step-by-step explanation:

the equation for the cost for traveling from the airport can be represented by y= .50x + 2 + 6

where y is the final cost and x is the amount of miles. plug in 38 to y to get 38 = .50× +2 + 6. Solve for x.

38-6 =.50× +2

32 =.50x +2

32-2=.50x

30=.50x

30/.50=x

60=x

therefore, the 60 miles is how far you can go with $38

Answer:

he would have enough for 15 classmates

Answer:

Step-by-step explanation:

When we plan an effective budget, we certainly need to gather some data about the theme, which includes, prices, description of the stuff we need. Once we have the data we need, then we must organize it to set priorities, to make the budget effective.

Additionally, estiamting and finding averages are important skills, because we need to estimate how effective is the budget. In fact, maybe we would desing different budgets to compare them and analyse, using averages, which one is the most effective.

Answer:

Check photo

Step-by-step explanation:

Answer:

The area is

Step-by-step explanation:

First,

[tex]8.6 *7.7=66.22[/tex]

[tex]14.3-7.7=6.6[/tex]

[tex]6.6 * 8.6=56.76[/tex]

[tex]56.76 /2 =28.38[/tex]

[tex]66.22 + 28.38= 94.6[/tex]

Hope this helps