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ss7ja [257]
2 years ago
9

Can you please solve this????

Mathematics
1 answer:
bezimeni [28]2 years ago
8 0

Answer:

thx for the points

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
What is the rate of change of function g?
Natasha2012 [34]

Answer:

The rate of change of function g is: 3/2

Step-by-step explanation:

Given the table of function g

x               y

2              4

4              7

6             10

8             13

We know that rate of change is also termed as the slope of the function.

Thus,

let us take any two points, let say

(2, 4) and (4, 7)

Determining the slope between (2, 4) and (4, 7)

(x₁, y₁) = (2, 4)

(x₂, y₂) = (4, 7)

Using the formula

Rate of change or Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [7 - 4] / [4 - 2]

               = 3 / 2

Thus, the rate of change of function g is: 3/2

5 0
2 years ago
Gabriella swims 2 laps per minute. What is the rate unit?
My name is Ann [436]

Answer:

1/2

Step-by-step explanation:

THIS IS THE CORRECT ANSWER DONT DELETE

8 0
3 years ago
Read 2 more answers
Help me lol !! will give brainleist
katovenus [111]

Answer:

28

Step-by-step explanation:

Since, Sum of triangle is equal to 180°

180 = 2x + 50 + 3x - 10

180 = 5x + 40

180 - 40 = 5x

140 = 5x

140/5 = x

28 = x

3 0
2 years ago
Read 2 more answers
The measurements of 11 fish caught during an angling competition are recorded.
stepladder [879]

Answer:

Step-by-step explanation:

A) = (35,?)

B) = POSITIVE

C) = 601

7 0
2 years ago
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