What is the solution to the system of equations below?<br><br><br><br> y= -1/3 and x =

Which is an ordered pair on the line 2.5,14 2.25,12 1.25,5 1.5,9

Savatey [412]

I would think that all but one point would be on the line. One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation. Next time, would you please enclose the coordinates of each point inside parentheses: (2.5,14), (2.25,12), and so on, to avoid confusion.
14-12
slope of line thru 1st 2 points is m = ---------------- = 2/0.25 = 8
2.50-2.25

What is the eqn of the line: y = mx + b becomes

14 = (8)(2.5) + b; find b:

14-20 = b = -6. Then, y = 8x - 6.

Now determine whether (12,1.25) lies on this line.

Is 1.25 = 8(12) - 6? Is 1.25 = 90? No. So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).

Why not work this problem out yourself using my approach as a guide?

5 0

2 years ago

Find the next term in the sequence 15 , 34 , 55 , 78 , 103

omeli [17]

The next term in the sequence will be increased by 27. The difference between 15 and 34 is 19 The difference between 34 and 55 is 21 The difference between 55 and 78 is 23 The difference between 78 and 103 is 25 Following this pattern, the next number will be 130

6 0

2 years ago

Helpppppp pleaseeeeee !!!!!!!!! !!!!

Sergio [31]

Given:

The function is:

$f(x)=6x-3$

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

$f(x)=6x-3$

Step 1: Substitute $f(x)=y$ .

$y=6x-3$

Step 2: Interchange x and y.

$x=6y-3$

Step 3: Isolate variable y.

$x+3=6y$

$\dfrac{x+3}{6}=y$

Step 4: Substitute $y=g(x)$ .

$\dfrac{x+3}{6}=g(x)$

Therefore, the inverse of the given function is $g(x)=\dfrac{x+3}{6}$ and the graphs of these functions are shown below.

8 0

2 years ago

Answer the following questions, using the simulation: a. Determine the spring constant, k, of Spring 1, by using Hooke’s Law. Ta

Akimi4 [234]

At high noon, you can feel warm air coming from inland. During noon, especially in spring and summer, the radiation caused by the Sun warms the land surface more compared to the sea surface. This is because heat is directly applied on the land surface compared to the ocean.

4 0

2 years ago

Cosθ=−2√3 , where π≤θ≤3π2 .

Alex787 [66]

Answer:

$sin(\theta + \beta) = -\frac{\sqrt{7}}{5}-4\frac{\sqrt{2}}{15}$