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rjkz [21]
3 years ago
15

Which is the equation of the function?

Mathematics
1 answer:
dlinn [17]3 years ago
7 0

Answer

its the third one.

Step-by-step explanation:

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1) Graph the following lines and using the graph determine several values of x for which the graph is positive (negative):
Aleksandr [31]

1) y=-0.5x-2


The graph of the above equation is attached in the attachment below.  

For all the values from negative infinity to -4, the function is positive.  

X ∈ (-∞,-4]


2) y=-1.5x+3


To find the x- intercept, plug y =0  

0=-1.5x+3


1.5x=3


x=2


x intercept = (2,0)


To find the y- intercept, plug x=0  

y=-1.5(0)+3


y=3


Y- intercept = ( 0,3)


3) y=13-x


Y- intercept = (0,13)


x- intercept = (13,0)


Area of triangle = \frac{bh}{2}


Area of triangle = \frac{13\times13}{2}


Area = \frac{169}{2} sq unit.


4) The graphs of y=-2x+7 and y=0.5x-5.5 is attached in the attachment below.  

The intersection point is ( 5,-3)


5) A = (-3,0)


B = (4,5)


C = (0,-4)


Slope of AB = \frac{5-0)}{4-(-3)} =\frac{5}{7}


Slope intercept of line y=mx+b


Where, m is the slope and b is the y- intercept.  

Plugging point A and the slope in the y- intercept to find the value of b.  

0=\frac{5(-3)}{7} +b

b=\frac{15}{7}


Equation of line AB: y=\frac{5x}{7} +\frac{15}{7}


Slope of BC = \frac{-4-5}{0-4} =\frac{9}{4}


Plug C = (0,-4)  

-4=0+b


b=-4


equation of line BC= y=\frac{9x}{4} -4


Slope of line AC = \frac{-4-0}{0--3} =\frac{-4}{3}


Equation of line AC = y=\frac{-4x}{3} -4


Y intercept of AB = (0,\frac{15}{7} )




5 0
3 years ago
Read 2 more answers
How to solve: (looking for b)<br>y =mx+b
mamaluj [8]
Subtracting mx from both sides, we get y-mx=b
4 0
3 years ago
In parallelogram abcd, m
just olya [345]
What aboout it? please clarify.
6 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words.
brilliants [131]

Answer:

100 newtons, 20 newtons per second

Step-by-step explanation:

7 0
3 years ago
Solve equation.<br> k+3=14
lorasvet [3.4K]

To solve the equation, subtract 3 from both sides. The solution is k = 11.

A linear equation is an equation of which the highest degree of its variables is 1.

Steps to solve linear equations:

  1. Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.
  2. Combine the same terms.
  3. Isolate the variable on one side by using subtraction of addition.
  4. Use division or multiplication to find the value of the variable.

Recall that if  we subtract or add the same number to both sides of an equation, it does not change the equality.

The given problem:

Solve k + 3 = 14.

The variable is k. Subtract 3 from both sides:

k + 3 - 3 = 14 - 3

k = 11 (solved)

Learn more about solving an equation here:

brainly.com/question/25678139

#SPJ4

5 0
1 year ago
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