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madreJ [45]
3 years ago
5

(100 points & brainliest!)

Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Okay so this is a very hard conceptual question. We need to prove that (x, y) is the ordered pair when "f(x) = g(x)".

"f(x) = g(x)" represents the point where the lines share a point or basically the intersection point of the two functions.

To prove that the intersection point is (x, y) let's find the x and y values at the point of intersection.

f(x) ----> the x-value is x and the y-value is f(x)

g(x) -----> the x-value is x and the y-value is g(x)

We know that f(x) = g(x) so we know that the y values match too.

We can also substitute a variable y for f(x) or g(x) (It is simply the y-value when x is plugged in for x. I know it sounds a bit confusing.).

So the solution when f(x) = g(x) is (x, y)!!!

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Hank ordered 58 t-shirts. He organized the t-shirts into 3 boxes. If he wanted each box to have about the same number of t-shirt
erica [24]

Answer:

19

Step-by-step explanation:

58/3 = 19.333333

19×3 = 57

so one shirt would be removed so all three boxes have 19 shirts in each box

4 0
3 years ago
Of the last 20 balloons sold at a party store, 10 were blue. Considering this data, how many of the next 18 balloons sold would
Strike441 [17]

Answer:

9 blue balloons

Step-by-step explanation:

Let's create a proportion using the following set up.

blue balloons/total balloons=blue balloons/total balloons

We know that 10 blue balloons were sold if 20 total balloons were sold. We don't know how many blue are are sold if 18 total are sold. Therefore, we can say x blue are sold for 18 total sold.

10 blue/20 total=x blue/18 total

10/20=x/18

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 18. The opposite of division is multiplication. Multiply both sides by 18.

18*(10/20)=(x/18)*18

18*(10/20)=x

18*1/2=x

9=x

If 18 balloons are sold, 9 blue balloons would be expected to be sold.

4 0
3 years ago
What is the minimum value
IgorC [24]
It's the smallest value in this equation which should at x=-10, the equation is x=-b/(2a)
3 0
4 years ago
In a triangle angle A is 70 degrees and angle B is 26 degrees. What is the measure of Angle C
Vesnalui [34]
A triangle always adds up to 180 degrees total.  Therefore the triangle is 70 + 26 + C = 180.  Solving for C you would get 84 degrees.
5 0
4 years ago
Read 2 more answers
The highway department is planning to build a picnic area for motorist along a major highway. It is to be rectangular with an ar
Anna007 [38]
F(x) = 2w + I  = 2w  5000/w

f'(x) = 2 - 5000 / w^2

Fencing is minimum, so f(x) = 0

2 - 5000/w^2 = 0

2 = 5000 /w^2

2w^2 = 5000

w = 50

I = 5000/2 

= 1000

2w  + I  
= 200

hope this helps

5 0
3 years ago
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