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Gnoma [55]
2 years ago
15

Consider the equation x+4=−2x+19. Let f(x)=x+4and g(x)=−2x+19. The graph of each function is shown. Coordinate plane with the gr

aphs of two lines. The horizontal x axis labeled from negative three to nine in increments of one. The vertical y axis labeled from negative two to nineteen. The line f of x passes through ordered pairs zero comma four and two comma six. The line g of x passes through the ordered pairs zero comma nineteen and one comma seventeen. At what point do the graphs intersect? Enter your answer in the box.
Mathematics
1 answer:
Svetach [21]2 years ago
4 0

The point of intersection of both graphs will have the coordinate (5, 9).

<h3>What is the Point of Intersection of the Graph?</h3>

We are given the functions;

f(x) = x + 4

g(x) = -2x + 19

Now, the point of intersection of both graphs is when both functions are equal which is at f(x) = g(x). Thus;

x + 4 = -2x + 19

x + 2x = 19 - 4

3x = 15

x = 15/3

x = 5

Thus;

f(x) = 5 + 4 = 9

g(x) = -2(5) + 19 = 9

Thus, the point of intersection of both graphs will have the coordinate (5, 9)

Read more about Graph Intersection at; brainly.com/question/11337174

#SPJ1

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The sum of two consecutive whole numbers is 171, What are the two numbers?
lara31 [8.8K]

Answer:

85 + 86 = 171

Step-by-step explanation:

Just divide 171 by 2 = 85.5, so it pretty clear the rest is just logic.

(85.5 - 0.5) + (85.5 + 0.5) = 171

8 0
3 years ago
What is the equation that represents the line
Airida [17]

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8 0
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A division problem is shown below.
tangare [24]

Answer:

16

Step-by-step explanation:

a, 10

Group of 10 23s gives us 230. This is so because of you arrange 23 in groups, you would need to arrange it in 10 places, to get 230.

b, 6

Group of 6 23s gives 138. Again, like stated above, arranging 23 in 6 places ends up giving us a total of 138.

Adding both together, we have

10 + 6 = 16.

This means our answer is 16. And this is rightly so. Dividing 368 by 23 gives us 16 exactly. So, 16 is the answer.

5 0
3 years ago
Pamela is 9 years older than Jiri. The sum of their ages is 95. What is Jiri's age?
Darya [45]
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52 - 43 = 9

52 + 43 = 95
4 0
4 years ago
Read 2 more answers
1.)The angle θ lies in Quadrant IV. sinθ=−2/3 What is cosθ?
AveGali [126]

Answer:

1. From sin²θ +cos²θ =1 and sinθ=-2/3, we see that cosθ=√(1-sin²θ) or cosθ=√5/3, where the sign of cosine is positive as it is in Quadrant IV. x lies in 4th quadrant , cos x is +ve. , cos x = √5/3. Answer.

answer : cos x = √5/3

2.  4/3

3.  sin (- theta)  = - sin (x)        so sin x = 1/6

 tan = sin / cos   =  1/6  /  cos  =  - sqrt35/35     solve for cos

                        cos =  1/6 * (-35/sqrt35)

                       

                                  = -35 sqrt35 /210

answer : −35/√210

4. The cosine function is an even function, so cos(θ) = cos(-θ).

The relationship between sin(θ) and cos(θ) is sin(θ) = ±√(1 -cos(θ)^2)

For sin(θ) < 0 and cos(θ) = (√3)/4,  sin(θ) = -√(1 -3/16) = -√(13/16)

sin(θ) = -(√13)/4   For sin(θ) < 0 and cos(0) = √(3/4), ...

sin(θ) = -√(1 -3/4) = -√(1/4)       sin(θ) = -1/2

answer : -13/√4

5.  answer : tan^2 θ ⋅ cos^2 θ = 1 − cos^2 θ would be the first step

4 0
4 years ago
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