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Maru [420]
3 years ago
11

Is this function linear or exponential

Mathematics
1 answer:
Ksju [112]3 years ago
5 0
I think it’s exponential bro
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Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0
2 years ago
Solve for x2:<br><br> y2 − y1 = m(x2 − x1)<br><br><br> this is literal equations btw
blondinia [14]

Answer:

x2 = y2/m - y1/m + x1

Step-by-step explanation:

Expand

y2 - y1 = mx2 - mx1

Rearrange

y2 - y1 + mx1 = mx2

Divide both sides by m to make x2 on its own

y2/m - y1/m + x1 (m's cancel out) = x2

Hence:

x2 = y2/m - y1/m + x1

7 0
3 years ago
Read 2 more answers
Which graph represents this system?<br><br> 2 x minus 5 y = negative 5. y = two-fifths x + 1.
Softa [21]

Answer:

The answer is the first graph.

Step-by-step explanation:

I did it on edge. I got it wrong the first time because I used an answer from this question. Because of that, I reported it. Now I have the correct answer lol.

6 0
3 years ago
Read 2 more answers
The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read
stira [4]
The mean of the answer is 20.5 because you add all of the number together and divide by 6 because there's 6 numbers. 
I'm sorry, but I don't know how to do the standard deviation... 
Hope this helped!
4 0
3 years ago
Help me please..... please
Oksana_A [137]

Answer:

general rule Un=1.8n-21

U100=1.8(100)-21=159

Step-by-step explanation:

a5=a+4d,  a5=-12

a10=a+9d,  a10=-3

-12=a+4d

-3=a+9d subtract the system of equations

-9=-5d solve for d

d=1.8

substitute d into first equation to find a

-12=a+4(1.8)

a=-19.2

un. = a + (n − 1)d

Un=-19.2+(n-1)(1.8)

Un=1.8n-21

7 0
3 years ago
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