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alexira [117]
2 years ago
10

Find out the output, k, when the input, x, is -5. K=6x+100

Mathematics
1 answer:
Verdich [7]2 years ago
3 0

Answer:

Step-by-step explanation:

k = 6x + 100

x = -5

k = 6(-5) + 100

k = -30 + 100

k = 70

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Adjust the equation so the line passes through the points. Y=x+1
lapo4ka [179]

Answer:

Slope=  

2.000

2.000

​  

=1.000

x−intercept=  

−1

1

​  

=−1.00000

y−intercept=  

1

1

​  

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x+1)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-1  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

 y-intercept = 1/1  =  1.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

 x-intercept = 1/-1  = -1.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.000/2.000 =  1.000  

Geometric figure: Straight Line

1.  Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3.  y-intercept = 1/1 = 1.00000

3 0
3 years ago
Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated interest rate after the stated amo
Fynjy0 [20]

Answer: 1,000

First, you have to find how much 7.5% is coming out of 10,000. So in this case it's 750. Multiply 750 by 12 years. Thats 9000, you then subtract 9000 and 10,000 to get 1,000.

4 0
3 years ago
10+3+(2×0.1)+(3×0.01)+(5×0.001) in word form?
charle [14.2K]
Simply add and multiply the numbers and you get 13.235
in word form that would be
13 and 2 tenths and 3 hundredths and 5 thousandths
8 0
3 years ago
How do I find the perimeter of this ?
gavmur [86]

Answer:

26 is the perimeter

Step-by-step explanation:

you add all of the side numbers just like this:

9+5+12= 26 :)

     Hope this helped :D

3 0
3 years ago
What is 4,328.12 in expanded form?
shepuryov [24]
Hope this helps

Answer = 4,328.12
4,000
300
20
8
0.1
0.02
4 0
3 years ago
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