The data for the distance d, in miles, remaining for a train to travel to its destination t hours after it departs a station are
shown in the scatter plot. Which of the following functions best fits the data?

[tex]y +1 = 2x~~~...(i)\\\\y^2 = 3x -2~~~...(ii)\\\\\text{From equation (i):}\\\\y +1 = 2x \\\\\implies y = 2x -1~~~....(iii)\\\\\text{Substitute} ~y = 2x-1~ \text{in equation (ii):}\\\\(2x-1)^2 = 3x-2\\\\\implies 4x^2 - 4x +1 = 3x -2\\\\\implies 4x^2 -4x -3x +3 =0\\\\\implies 4x(x-1) -3(x-1)=0\\\\\implies (x-1)(4x-3)=0\\\\\implies x =1 ~\text{or}~ x = \dfrac 34\\\\\text{Substitute x = 1 in equation (iii):}\\\\y = 2 -1 =1\\\\[/tex]

[tex]\text{Substitute}~ x = \dfrac 34 ~\text{in equation (iii):}\\\\\\y = 2\left(\dfrac 34 \right) -1 = \dfrac 32 -1 = \dfrac 12\\\\\text{Hence,}\\\\(x,y) = (1,1)\\\\\text{And}\\\\(x,y) = \left(\dfrac 34 , \dfrac 12 \right)[/tex]

Answer:

0

Step-by-step explanation:

20+(-6x)+6x+(-20)=20-6x+6x-20

                            =0

Answer:

1) Positive slope

2) Negative slope

3) 0 slope

Step-by-step explanation:

1) This is a positive slope. As x increases, y increases.

2) This is a negative slope. As x increases, y decreases.

3) This is a 0 slope. As x increases, y stays the same.

Answer:

First one is positive

Second one is negative

Last one is zero

Step-by-step explanation:

Answer:

{a,c,d,b} = {49/16,29/16,2,-31/48}

Step-by-step explanation:

  [1]    3a + c - 4d = 3

  [2]    -4a + 4c + d = -3

  [3]    -a - 2d + 3b = -9

  [4]     - d = -2

// Solve equation [4] for the variable  d

  [4]    d = 2

// Plug this in for variable  d  in equation [1]

  [1]    3a + c - 4•(2) = 3

  [1]    3a + c = 11

// Plug this in for variable  d  in equation [2]

  [2]    -4a + 4c + (2) = -3

  [2]    -4a + 4c = -5

// Plug this in for variable  d  in equation [3]

  [3]    -a - 2•(2) + 3b = -9

  [3]    -a + 3b = -5

// Solve equation [1] for the variable  c

 [1]    c = -3a + 11

// Plug this in for variable  c  in equation [2]

  [2]    -4a + 4•(-3a+11) = -5

  [2]    -16a = -49

// Solve equation [2] for the variable  a

  [2]    16a = 49

  [2]    a = 49/16

// Plug this in for variable  a  in equation [3]

  [3]    -(49/16) + 3b = -5

  [3]    3b = -31/16

  [3]    48b = -31

// Solve equation [3] for the variable  b

  [3]    48b = - 31

  [3]    b = - 31/48

// By now we know this much :

   a = 49/16

   c = -3a+11

   d = 2

   b = -31/48

// Use the  a  value to solve for  c

   c = -3(49/16)+11 = 29/16

Step-by-step explanation:

so bd/a+c= 3×(-4)/-2 +(-12)= -12/-2+(-12)=6+(-12)=6-12=-6

so the answer is -6

Answer:

100

Step-by-step explanation:

hope this helps!!!!!!

Answer:

c

Step-by-step explanation:

10^2 - 9^2 = 100 - 81 = 19

Answer:

Step-by-step explanation:

(4x²+15x²)-(-2x²)=19x²+2x²=21x²

Answer:

[tex]21x^{2}[/tex]

Step-by-step explanation:

[tex]4x^{2} +15x^{2} --2x^{2}[/tex]

[tex]4x^{2} +15x^{2} +2x^{2}[/tex]...........2 negatives signs next to each make a positive

[tex]21x^{2}[/tex].................................combine like terms

Answer:

1:Not

2:Not

3:Not

4:Not

5:Viable

6:Viable

7:Viable

8:Viable

9:Viable

10:Not

Step-by-step explanation:

Answer: There's an increasing interval between -1 and 1

While x goes from -1 to 1, the value of y increases (from -2 to 2).

Answer:

2x + 1 = 11.

2x + 1 - 1 = 11 - 1 (subtracting both sides by the same number)

2x = 10.

2x/2 = 10/2 (dividing both sides of the equation by the same number)

x = 5.

Step-by-step explanation:

hope it helps

Answer:

1) 44.83 feet 2) 2352.3

Step-by-step explanation:

Answer:

Because √25 = 5 and 5 can be written in the form of a fraction 5/1.

Step-by-step explanation:

It proves that √25 is rational.

Answer:

the square toot of 25 is = 5

Step-by-step explanation:

therefore

5√5

= 25

√25 is equal to 5

= 5

i hope it helps

No equation really.

I guess she could just by 2 lb green grapes and 3 lb red grapes.

Maybe because I didn't understand the question completely.

Answer:

For a green and a blue  P1 = 8/11 * 3/10 = (80 * 33) / 110^2 = .218

For a blue and a green  P2 = 3/11 * 8/10 = (30 * 88) / 110^2 = .218

The probabilities are the same

The probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.

When two events P(A) and P(B) occurs one time in an event of which occurs two times. Then the probability of occurring exactly one time both events is,

[tex]P=P(A)\times P(B)+P(B)\times P(A)[/tex]

There are 11 counters in a bag. In which,

Sid takes at random two counters from the bag. Probability that Sid takes green counter is,

[tex]P(A)=\dfrac{8}{11}[/tex]

The probability that Sid takes blue counter is,

[tex]P(A)=\dfrac{3}{11}[/tex]

The probability that Sid takes one counter of each color is,

[tex]P=\dfrac{8}{11}\times\dfrac{3}{11}+\dfrac{3}{11}\times\dfrac{8}{11}\\P=\dfrac{24}{121}+\dfrac{24}{121}\\P=\dfrac{48}{121}[/tex]

Thus, the probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.

Learn more about the probability here;

https://brainly.com/question/24756209

#SPJ2

Answer:

75%

Step-by-step explanation:

Answer: First bag unit price: 1.78

second bag unit price : 1.83

Step-by-step explanation:

divide the price by the weight. First bag is better

Answer:

zeroes or x-intercepts

Step-by-step explanation:

Answer:

2/10&20/100

Step-by-step explanation

hope it helps

please mark brainliest

Answer:

6.7679

Please mark this brainiest?

Step-by-step explanation:

Cube root of 310 can be represented as 3√310. The value of cube root of one is 310.The nearest previous perfect cube is 216 and the nearest next perfect cube is 343 .

Answer:

the cube too of 310 is 7

Step-by-step explanation:

as cube root of 310 is 6.76

Answer:

I think the answer is Yes

Step-by-step explanation:

For example, 2 cups of flour can equal 4 cups of flour by multiplying by two. So 1.5 cups of milk, you multiply by two and it is equivalent to 3 cups of milk. So in the end, it is equal and it's basically half of the pancake recipe. Hope it helps!

Answer:

15 percent

Step-by-step explanation:

Answer:

5a (a -2)

Step-by-step explanation:

Hey there,

Here, you have to get the common factors out from the brackets.

According to this question,

a and 5 are the common factors.

Therefore, you can write the answer like this,

5a² - 10a

5a (a -2)

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

The slope is unidentified

Step-by-step explanation:

The equation of the line is x=4

Answer:

32

Step-by-step explanation:

Answer:

D

Step-by-step explanation:  

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)

Consider option D.

1st transformation  will map vertices of the square into points

These points are not the vertices of the initial square.

I hope it helps.

Answer:

3x2 - 4x

Step-by-step explanation:

this is the algebric expression

6 hours and 48 minutes

Answer:

The perimeter of the tabletop is 152 inches

Step-by-step explanation:

So if P = 2L + 2W we have to do

(2*48) + (2*28)

So

96 + 56 = 152