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julsineya [31]
3 years ago
13

Find inequality represented in the graph someone please help

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0
U have a dashed line...meaning there is no equal sign in the problem
u have a y int (where ur line crosses the y axis) of 5
u have a slope of :
(0,5),(3,1)......(1- 5) / (3 - 0) = -4/3
it is shaded below the line, so it is less then

ur inequality is : y < -4/3x + 5 <===
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Graph the functions on the same coordinate axis. {f(x)=−2x+1g(x)=x2−2x−3
NikAS [45]

Answer:

(2,-3) and (-2,5)

Step-by-step explanation:

Let us graph the two equations one by one.

1. f(x)=-2x+1

If we compare this equation with the slope intercept form of a line which is given as

y=mx+c

we see that m = -1 and c =1

Hence the slope of the line is -2 and the y intercept is 1. Hence one point through which it is passing is (0,1) .

Let us find another point by putting x = 1 and solving it for y

y=-2(1)+1

y=-2+1 = -1

Let us find another point by putting x = 2 and solving it for y

y=-2(2)+1

y=-4+1 = -3

Hence the another point will be (2,-3)

Let us find another point by putting x = -2 and solving it for y

y=-2(-2)+1

y=+1 = 5

Hence the another point will be (-2,5)

Now we have two points (0,1) ,(1,-1) ,  (2,-3) and (-2,5) we joint them on line to obtain our line  

2.

g(x)=y=x^2-2x-3

y=x^2-2x+1-1-3

y=(x-1)^2-4

(y+4)=(x-1)^2

It represents the parabola opening upward with vertices (1,-4)

Let us mark few coordinates so that we may graph the parabola.

i) x=0 ; y=y=(0)^2-2(0)-3=0-0-3=-3 ; (0,-3)

ii)x=-1 ; y=(-1)^2-2(-1)-3=1+2-3=0 ; (-1,0)

iii) x=2 ; y=(2)^2-2(2)-3 = 4-4-3 =-3 ;(2,-3)

iii) x=1 ; y=(1)^2-2(1)-3 = 1-2-3 =-4  ;(1,-4)

iii) x=-2 ; y=(-2)^2-2(-2)-3 = 4+4-3 =5  ;(-2,5)

Now we plot them on coordinate axis and line them to form our parabola

When we plot them we see that we have two coordinates (2,-3) and (-2,5) are common , on which our graphs are intersecting. These coordinates are solution to the two graphs.

3 0
3 years ago
12, 17, 22, ...<br> Find the 36th term.
pychu [463]

Answer:

187

Step-by-step explanation:

a=12,d=17-12=5

nth term =a+(n-1)d

36th term=12+(36-1)5

=12+(35×5)

12+175

36th term=187

8 0
2 years ago
What’s the correct answer for this question?
scoray [572]

Answer: choice D 1/2

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

so

1/6=1/3*p(A)

p(A)=1/2

4 0
3 years ago
6x(0,5x+3)+3x(1-x)-(1-10x)=7
Eddi Din [679]

Answer:

answer<em> </em><em>is</em><em> </em>

Step-by-step explanation:

ok ok ok ok ok ok ok ok ok ok ok ok

7 0
3 years ago
there are 13 animals in the barn. some are chickens and some are goats. there are 48 legs in all. how many of each animal are th
romanna [79]

Answer:

Step-by-step explanation:

chickens + goats = 13

so...

c + g = 13, so...

g = (13 - c)

2 legs times the number of chickens (2c) + 4 legs times the number of goats (4g) = 48 total legs. So...

2c + 4(13-c) = 48, so

2c + 52 - 4c = 48, so

-2c = -4, so

2c = 4, so

c = 2.

There are 2 chickens, and therefore 11 goats.

5 0
3 years ago
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