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OLga [1]
3 years ago
15

Given the following equation, at what point will the graph intersect? f(x) =5x+1 g(x)= -2x+15

Mathematics
1 answer:
Andru [333]3 years ago
8 0

Answer: (2,11)

Step-by-step explanation:

To find the point where the functions will intersect, we want to find the place that they are equal to each other. We do this by setting the equations equal to each other.

5x+1=-2x+15                       [add both sides by 2x]

7x+1=15                               [subtract both sides by 1]

7x=14                                  [divide both sides by 7]

x=2

Now, we know that the functions intersect at x=2. To find the point, we would plug x back into both equations to ensure that the points are the same.

f(2)=5(2)+1                         [multiply]

f(2)=10+1                            [add]

f(2)=11

The point on f(x) is (2,11).

g(2)=-2(2)+15                    [multiply]

g(2)=-4+15                         [add]

g(2)=11

The point on g(x) is (2,11).

Since the point at x=2 is the same for f(x) and g(x), we know that the graph intersects at (2,11).

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Andru [333]
I think the answer is B
8 0
2 years ago
Read 2 more answers
8x + 2 – 6 = 4x +8 +3x
Viefleur [7K]
The first step is to combine like terms. So u would do 2-6. You then get -4 then u just bring everything else down. So now u should have this :

8x -4 = 4x + 8 + 3x

Now you do the same thing to the other side. U combine like terms which in this case are 4x and 3x. So u just do 4+3 which is 7 so now u have 7x. So now ur equation would be:

8x -4 = 7x +8

Now u do the inverse of 7 which would be -7 and u do that on both sides. So it would look like this :

8x -4 = 7x + 8
-7x. -7x

So now 7 and -7 cancel each other other and 8 -7 is 1 so now u have one x. So ur equation would now look like this:

1x -4 = 8

Now u do the inverse of negative 4 which is +4. So you would add 4 on both sides on both sides. Like shown:

1x -4 = 8
+4 +4

So u just add 8 + 4 which is 12. Now since anything times 1 is itself ur answer will be X=12


Hope this helped



4 0
2 years ago
1. Subtract. 9 1/3-1 2/3 = ? Explain how you got the answer.
AleksAgata [21]
My answer is 8 5/9
First, you have to multiply the denominators to get your least common denominator.
Second, you have to multiply the numerators and the denominators together to get two different fractions with the same denominator. You should get 9 3/9 and 1 6/9.

Your answer should be 8 5/9
8 0
3 years ago
Given the replacement set {0,1,2,3,4} solve 4x - 5 = 11
kicyunya [14]
4x - 5 = 11
4x = 11 + 5 = 16
4x = 16
Divide by 4 from both sides
X = 4
7 0
3 years ago
Hey i need help can sb help me please
Crazy boy [7]

Answer:

5 1/3 + 9 2/3

Step-by-step explanation:

A number minus a negative number will be the same thing as addition

5 0
2 years ago
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