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3 years ago

Graph the linear equation y= -3x using the slope and y intercept 7th grade middle school math pls answer fast this is due soon

Mathematics

1 answer:

ehidna [41]3 years ago

3 0

Answer: graph -3 on the y axis which is the line going straight up and down and then go up one, and then to the right one and graph that point. keep on going up one and to the right one.

Step-by-step explanation:

You might be interested in

Completing the square:

vichka [17]

Answer:

Step-by-step explanation:

Key to this method is remembering that

$(a+b)^2 = a^2 + 2ab + b^2$

So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.

6/2 = 3, so add $3^2 = 9$

$x^2+6x+9 = (x+3)^2$

So, c=9

Similarly, for the other two,

$c = (\frac{-34}{2} )^2 = (-17)^2 = 289$

You don't really have to worry about the sign, since squaring will always make it positive

$(\frac{25}{13}) ^2 = \frac{625}{169}$

7 0

3 years ago

7) PG & E have 12 linemen working Tuesdays in Placer County. They work in groups of 8. How many

BabaBlast [244]

Part A

Since order matters, we use the nPr permutation formula

We use n = 12 and r = 8

$_{n}P_{r} = \frac{n!}{(n-r)!}\\\\_{12}P_{8} = \frac{12!}{(12-8)!}\\\\_{12}P_{8} = \frac{12!}{4!}\\\\_{12}P_{8} = \frac{12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\\\_{12}P_{8} = \frac{479,001,600}{24}\\\\_{12}P_{8} = 19,958,400\\\\$

There are a little under 20 million different permutations.

<h3>Answer: 19,958,400</h3>

Side note: your teacher may not want you to type in the commas

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

Part B

In this case, order doesn't matter. We could use the nCr combination formula like so.

$_{n}C_{r} = \frac{n!}{r!(n-r)!}\\\\_{12}C_{8} = \frac{12!}{8!(12-8)!}\\\\_{12}C_{8} = \frac{12!}{4!}\\\\_{12}C_{8} = \frac{12*11*10*9*8!}{8!*4!}\\\\_{12}C_{8} = \frac{12*11*10*9}{4!} \ \text{ ... pair of 8! terms cancel}\\\\_{12}C_{8} = \frac{12*11*10*9}{4*3*2*1}\\\\_{12}C_{8} = \frac{11880}{24}\\\\_{12}C_{8} = 495\\\\$

We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.

-----------------

Another way we can compute the answer is to use the result from part A.

Recall that:

nCr = (nPr)/(r!)

If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320

So,

$_{n}C_{r} = \frac{_{n}P_{r}}{r!}\\\\_{12}C_{8} = \frac{_{12}P_{8}}{8!}\\\\_{12}C_{8} = \frac{19,958,400}{40,320}\\\\_{12}C_{8} = 495\\\\$

Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.

-----------------

<h3>Answer: 495</h3>

5 0

2 years ago

Guys Please help me with this question urgent!!

Viefleur [7K]

Answer:

Step-by-step explanation:

1.)Find the amount of women within the 120 people in the meeting. So 3/10*120 , you get 36.

2.)Add 24 to 120 to get the new amount of people in the room. So 144.

3.)Using the new ratio 11:5 , find the amount of total women out of 144 people . So 5/16*144 , you get 45.

4.)Now minus the 2 amounts of initial women from the amount of total new women , to get the difference to find out how many women are there in the 24 people. So 45-36 , you get 9

6 0

3 years ago

Hello, happy Friday, I am just here with some geometry questions.

klasskru [66]

Answer:

U'(-14, 8)

Step-by-step explanation:

<u>The transformations include:</u>

T<-2,2>·D3

This is a dilation by a scale factor of 3 and then translation 2 units left and 2 units up.

<u>The transformation applied to the point U:</u>

U(-4,2) → U'(-4*3 - 2, 2*3 + 2) = U'(-14, 8)

4 0

3 years ago

How much money invested at 5% compounded continuously for 3 years will yield at $820?

Oduvanchick [21]

Answer:

Percentage of interest at which the money is invested = 5%

Time for which the money is invested = 3 years

The final amount after 3 years = $820

Let us assume the principal amount = x dollars

We can conclude that the principal amount invested was $708.35.

3 0

3 years ago