(4,2) in y+mx+b form
Line 1
Line 2
Graph above

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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Answer:

1. B
2. G
3. A
4. F
5. D

Step-by-step explanation:

1.  Since her maximum is 320 per month it has to be less than or equal to that ammount every month so the correct answer would be B, since \(\leq\) means less than or greater than.

2. G is the only correct answer because x=5 and in the equation its

5 - 2 < 7  which turns to  3 < 7

3. The way to get the answer is to divide the cost and the total of number of people with is 8

46/8 = 5.75 which is A

4. The correct answer is F because the other side is equal to 10 which means 7+3=10
              10=10

5. The correct answer is D because in the text she has to AT LEAST sell 38 which means it can be greater than or equal to 38.

Answer:

blue

Step-by-step explanation:

Answer:

3 4 5

Step-by-step explanation:

Hope I helped

Answer:

b

Step-by-step explanation:

trust

Answer:

I think the answer choices are incorrect. 7 1/2 in decimal form would be 7.5. Please correct me if I'm wrong.

Step-by-step explanation:

Answer:

A = 74295.

Step-by-step explanation:

74*9*

- the last number must be a 0 or a 5.

So we try 74090/45 -  not an integer

74095/45 = No

74190/45 No

74195/45  No

74295 / 45 = 1651 So that's it,

Answer:

dont understand this ...

Step-by-step explanation:

Answer:

84 and £621.6

Step-by-step explanation:

Answer:

x= 5

Step-by-step explanation:

2x = +3 +7

2x = +10

2x(÷2) = 10(÷2)

x = 5

I hope I help you in this ans and tq .

Answer:

x=5

Step-by-step explanation:

pls, tell me if wrong have a good day/night<3

Answer:

The equation is: \(5c-2=9\)

Step-by-step explanation:

Since 2 less than the product of 5 and a number c is equal to 9, it follows:

\(5c-2=9\)

Hello, the answer to your second image/question is 3(2m+6), 2(3m+9)

Answer:

volume=160inch^3

expressions:

5m+18+m

6+m+18

16+m+5m+2

Step-by-step explanation:

5×4×8=160

volume= 160inch^3

Answer:can't read it

Step-by-step explanation:

so ummm

Answer: Model B

Step-by-step explanation: Model B, shows the cutting of 40%  of the ribbon since, if you divide it into 10 parts, with each piece representing 10%, if you take away 4 of those parts, which is equal to 40%. So it is Model B.

Answer:

It's based off simplifying 20/100 to 1/5. It's by putting the original fraction to its least common denominator.

Answer:

The area of the floor plan is given by the expression 20x² - 4x - 16

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal to each other. Also all the angles of a rectangle measure 90 degrees each.

Area of a rectangle = length * breadth

Area of the floor plan = length * breadth

Area of the floor plan = (5x + 4) * (4x - 4)

Area of the floor plan = 20x² - 20x + 16x - 16

Area of the floor plan = 20x² - 4x - 16

The area of the floor plan is given by the expression 20x² - 4x - 16.

Answer:

the expression for the width is 4x + 3

Step-by-step explanation:

Area = base times width.  Thus, we divide 9x - 2 into 36x^2 + 19x - 6 to find an expression for the width.  Dividing 9x into 36x^2, we get 4x, which tells us that the first term of the quotient starts with 4x:    (4x + ? )(9x - 2).  Replacing the '?' with 3, we get:

(4x + 3)(9x - 2), which through multiplication becomess

36x^2 + 27x - 8x - 6, or 36x^2 + 19x - 6, which was the original dividend.

Thus the expression for the width is 4x + 3 (in meters).

Answer:

The answer is 25 :)

Step-by-step explanation:

Ok, this explanation will probably be super confusing so sorry about that but you get two statements about each aquarium. Aquarium 1 starts with 4.6 gallons and will INCREASE by 1.2 gallons every minute. So now you have statement one, so let's plug it into the y=mx+b formula. y is the result/ the answer you get, m is the slope/how much your points INCREASE or DECREASE. x is the variable you use to plug and b is your starting point. So you are trying to find the y which means we cannot plug it in yet so right now we have y=mx+b. your next letter to switch out is m. Like I said, M is how much each point increases or decreases and if you go back, the statement says "will increase by 1.2 gallons every minute." so your m is 1.2 and will be positive because of the keyword INCREASE. now we have y=1.2x+b. B is your starting point so let's go back to the statement to find the starting point/ number, it states "Aquarium 1 contains 4.6 gallons" meaning aquarium 1 starts with 4.6 gallons, so let's plug it into the equation. you should have y=1.2x+4.6, which is your first equation. Your next equation will be a bit more tricky. we start with y=mx+b and we start with finding m, how much each point will increase or decrease. "Isaac will begin DRAINING aquarium 2 at a rate of 0.8 gallon per every minute." so M will be .8 but notice the keywords DRAINING, meaning decreasing. So because Isaac isn't filling and increasing, but he is decreasing, you will make .8 negative. so you should currently have y=-.8x+b. Now let's find the starting point, or B.   "Aquarium 2 contains 54.6 gallons of water." making your m 54.6 gallons of water. Let's plug it in. y=-.8x+54.6. Now that you have to equations, this is how you will find when both equations have a point intercepting, or in other words, the answer you are looking for. you will remove the "y=" on both equations, and place an "=" between them. You should have something looking like this on your paper. "1.2x+4.6 = -.8x+54.6". Now you are going to combine like terms, so look on both sides of the equation and look for the 2 numbers with no "x" next to them. You should find "4.6" on your left and "54.6" on your right side of the equal sign. you are going to equal out "4.6" with itself by writing "-4.6" underneath it but because you did this on one side of the equal sign, you have to do it on the other side but before you do so you should have "1.2x = -.8x+54.6". now let's subtract "4.6" to "54.6" you will write "-4.6" underneath "54.6" to get your new number, "50". your problem should look like "1.2x = -.8x + 50". now we are going to do the same for your number's with an "x" by it. on the right side of the equation, you will cancel out "-.8x". notice it's NEGATIVE so, in order to cancel out a negative number, you just make the number positive. so you will ADD ".8x" to "-.8" to get 0 but because you added ".8x" to one side, you have to do it to the other side. Let's check what we have first, you should have "1.2x = 50". so now let's ADD ".8x" to "1.2x". you will get "2x" so now you should have both equations simplified like this, "2x = 50" and now we are going to make x one so we will divide "2x" by "2" to get "x", but because you did this to one side, you have to do it to the other. so now you divide "50" by "2" to get 25. now you should have written down "x = 25". Thank you so much for reading this and please let me know if this was helpful or confusing. :)))

The time at which both aquariums contain the same amount of water is 25 minutes and this can be determined by forming the linear equation.

Given :

The following steps can be used in order to determine the time at which both aquariums contain the same amount of water:

Step 1 - Let the time be 't' at which both aquariums contain the same amount of water.

Step 2 - The amount of water in the Aquarium I at time 't' is given by:

V = 4.6 + 1.2t

where V is the total amount of water at time 't'.

Step 3 - The amount of water in the Aquarium II at time 't' is given by:

V' = 54.6 - 0.8t

where V' is the total amount of water at time 't'.

Step 4 - So, time at which both aquariums contain the same amount of water is given by:

V = V'

4.6 + 1.2t = 54.6 - 0.8t

Step 5 - Simplify the above equation.

50 = 2t

t = 25 minutes

Therefore, the correct option is C).

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Answer:

Step-by-step explanation:

Add the 3/4 to cross it out on the left side and whatever you do to one side you do to the other side. so you add 3/4 or .75 on to 10 to get 10.75.

k-3/4=10

k=10.75

Subtract the 5/7 from the Z and subract it from -3 to get, -3.71.

Z+5/7=-3

Z=3.71

Subtract 9 from the left side and subtract 9 from the right side.

9+t/12=-3

t/12=-12

Then you would multiply by 12 from the left side and multiply by 12 from the right side.

t/12=-12

t=-144

Answer: 9/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.40 im not sure but i think

Answer and Step-by-step explanation:

Answer:

The coordinates of C are (5 , 2)

The slope of CD is 3

The coordinates of D are (6 , 5) and (4 , -1)

Step-by-step explanation:

* Now lets study the problem

- The ends points of line AB are A = 2 , 3) and B = (8 , 1)

- CD is the perpendicular bisector of AB, and C lies on AB

- That means:

# C is the mid-point of AB

# The slope of AB × the slope of CD = -1 (one of them is a multiplicative

 inverse and additive inverse of the other)

-Ex: the slope of one is a/b, then the slope of the other is -b/a

* The mid-point between two points (x1 , y1) and (x2 , y2) is:

 [(x1 + x2)/2 , (y1 + y2)/2]

∵ C is the mid-point of AB

∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)

* The coordinates of C are (5 , 2)

- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:

the slope = (y2 - y1)/(x2 - x1)

∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3

∵ CD ⊥ AB

∴ The slope of CD × the slope of AB = -1

∴ The slope of CD = 3

* The slope of CD is 3

- The length of a line passing through points (x1 , y1) and (x2 , y2) is:

the length = √[(x2 - x1)² + (y2 - y1)²]

∵ The length of CD = √10

∵ Point D is (x , y)

∴ (x - 5)² + (y - 2)² = (√10)²

∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)

∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply

∴ (y - 2) = 3(x - 5) ⇒ (2)

- Substitute (2) in (1)

∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify

* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²

∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms

∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides

∴ (x - 5)² = 1 ⇒ take √ for both sides

∴ x - 5 = ± 1

∴ x - 5 = 1 ⇒ add 5 to both sides

∴ x = 6

* OR

∴ x - 5 = -1 ⇒ add 5 to both sides

∴ x = 4

- Substitute the values of x in (2)

∴ y - 2 = 3(6 - 5)

∴ y - 2 = 3 ⇒ add 2

∴ y = 5

* OR

∴ y - 2 = 3(4 - 5)

∴ y - 2 = -3 ⇒ add 2

∴ y = -1

* The coordinates of D are (6 , 5) and (4 , -1)

Answer:

2

0.95

Step-by-step explanation:

   | 3 | - | -1 |

=  | 3 | - | 1 |

= 2

  | 2.2 - 3.15 |

= | - 0.95 |

= 0.95

Answer: Player B is the most consistent, with an IQR of 3.5.

Step-by-step explanation:

For Player A, the IQR is 2 (Q3 - Q1 = 3 - 1 = 2).

For Player B, the IQR is 3.5 (Q3 - Q1 = 5 - 1.5 = 3.5).

Therefore, Player B is more consistent, as their IQR is larger, indicating less variability in their scores.

Answer:

There are 56 oranges in the basket, since the ratio of apples to oranges is 9:7. To calculate this, you can use the proportion method. First, set up a proportion using the ratio of apples to oranges (9:7):

9/7 = x/128

Then, solve for x.

x = (9/7) * 128

x = 112

Answer:

72 and 56

Step-by-step explanation:

Ratio of apples in the basket = 9x

Ratio of oranges in the basket = 7x

Total fruits in the basket = 128

So, Apples + Oranges = Total fruit

9x + 7x = 128

16x = 128

x = 128 ÷ 16

x = 8

∴ So, number of apples = 9x --> 9*8 = 72 apples

number of oranges = 7x --> 7*8 = 56 oranges

Hope this helps. Pls mark me the BRAINLIEST!

Answer: (-3,-8)

Step-by-step explanation: opposite of (3,-8)