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diamong [38]
3 years ago
11

Where do the graphs of the two functions below intersect?

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
7 0
4x-3=9x-13
10=5x
2=x
So these functions intersect when x=2.
professor190 [17]3 years ago
4 0
To find out where this 2 graphs intersect, we can equate them:

4x -3 = 9x - 13

9x -4x = 13 - 3

5x = 10

x = 2

Now we know that they intersect when x = 2, we will substitute x = 2 into either the equation to find the value of f(x).

f(x) = 4x - 3

when x = 2
f(2) = 4 (2) - 3
f(2) = 5

--------------------------------------------------------------------
Answer: The two graphs intersect at ( 2, 5).
--------------------------------------------------------------------



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Rectangle with a side length of 11" and a diagonal of 14" what is the perimeter
notka56 [123]

Answer:

10sqrt3+22

Step-by-step explanation:

Ok, let us imagine it as a sort of rectangle split upon its diagonal.

Using that, we can Pythag it out,

11^2+b^2=14^2

121+b^2=196

b^2=75

b=sqrt75

b=5sqrt3

Ok, using this info, we find the perimeter,

5sqrt3+5sqrt3+11+11

10sqrt3+22

The answer is 10sqrt3+22

7 0
3 years ago
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There are 128 flavors at an ice cream shop. If a company orders 75 scoops of each flavor, how many scoops of ice cream would the
Y_Kistochka [10]
Hope this answer helps you! :)

5 0
3 years ago
Simplify the expression (2j+1)(2)
stiks02 [169]

Answer:

4j + 2

Step-by-step explanation:

Distribute:  

(2j * 2) + (1 * 2)

4j + 2

6 0
3 years ago
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West high schools population is 250 students fewer then twice the population of East High school the two schools have a total of
gizmo_the_mogwai [7]

Answer:

1036 students

Step-by-step explanation:

Let the number of students at West High be "w" and the number of students at East High be "e"

West High population is 250 FEWER than TWICE of East High, we can write:

w = 2e - 250

Total students in both schools is 2858, so we can write 2nd equation as:

e + w = 2858

We can replace 1st equation in 2nd to get an equation in e, and find "e":

e + w = 2858

e + (2e - 250) = 2858

3e - 250 = 2858

3e = 2858 + 250

3e = 3108

e = 3108/3

e = 1036

Hence,

number of students attending East High School = 1036 students

3 0
3 years ago
A bowling alley charges $2.50 per game plus $4 to rent shoes. A second bowling alley charges $4 per game plus $1 to rent shoes.
adelina 88 [10]

Answer:

The person would have to play 2 games for the two bowling alleys to cost the same amount

Step-by-step explanation:

Assume that the number of games that makes the two costs equal is x

∵ A bowling alley charges $2.50 per game plus $4 to rent shoes

∵ The number of games is x

∴ The cost = 2.50x + 4

∵ A second bowling alley charges $4 per game plus $1 to rent shoes

∵ The number of games is x

∴ The cost = 4x + 1

∵ They have the same cost

→ Equate the 2 expressions above

∴ 4x + 1 = 2.50x + 4

→ Subtract 2.50x from both sides

∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4

∴ 1.50x + 1 = 4

→ Subtract 1 from both sides

∵ 1.50x + 1 - 1 = 4 - 1

∴ 1.50x = 3

→ Divide both sides by 1.50

∴ x = 2

∴ The person would have to play 2 games for the two bowling alleys to

   cost the same amount

7 0
3 years ago
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