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IrinaK [193]
3 years ago
15

Complete the equation of the line through (3,-8) and (6,-4). Use exact numbers

Mathematics
1 answer:
MakcuM [25]3 years ago
7 0

Answer: y= 4/3x -8

Step-by-step explanation:

-4 - -8 over 6 - 3

-4 + 8 over 3

4 over 3

Y intercept is y1 which is -8

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Population in a Small Town, USA was 5,054 in 2007. The populations increase by 2% annually. Show and explain all work.
kakasveta [241]

Answer: a. f(x)=5054(1.02)^x

b. The population in 2032 will be 8292.

Step-by-step explanation:

Exponential growth equation: y=a(1+r)^x, where a = initial value , r = growth rate, x = time period

Given: a = 5054 , r= 0.02

a. Required exponential growth function: f(x)=5054(1+0.02)^x

f(x)=5054(1.02)^x

b. For 2032, x= 25

f(25)=5054(1.02)^{25}

\approx8291.62\approx8292

The population in 2032 will be 8292.

5 0
2 years ago
Find the composition of transformations that map ABCD to EHGF. Reflect over the -axis, then translate (x+ ,y+)
Alex Ar [27]

Answer:

(x+2,y+4)...........

4 0
3 years ago
Read 2 more answers
Consider U = {x\x is a real number}
zysi [14]

Answer:

The fourth pair of statement is true.

9∈A, and 9∈B.

Step-by-step explanation:

Given that,

U={x|  x is real number}

A={x| x∈ U and x+2>10}

B={x| x∈ U and 2x>10}

  • 5 ∈ A , 5 ∈ B

If 5∈ A, Then it will be satisfies x+2>10 , but 5+2<10.

Similarly, If 5∈ B, Then it will be satisfies 2x>10 , but 2.5=10.

So, 5∉A, and 5∉B.

  • 6 ∈ A , 6 ∈ B

If 6∈ A, Then it will be satisfies x+2>10 , but 6+2<10.

Similarly, If 6∈ B, Then it will be satisfies 2x>10 , and 2.6=12>10.

So, 6∉A, and 6∈B.

  • 8 ∈ A , 8 ∈ B

If 8∈ A, Then it will be satisfies x+2>10 , but 8+2=10.

Similarly, If 8∈ B, Then it will be satisfies 2x>10.  2.8=16>10.

So, 8∉A, and 8∈B.

  • 9 ∈ A , 9 ∈ B

If 9∈ A, Then it will be satisfies x+2>10 , but 9+2=11>10.

Similarly, If 9∈ B, Then it will be satisfies 2x>10.  2.9=18>10.

So, 9∈A, and 9∈B.

3 0
3 years ago
What is the length of AB? please help!
ira [324]

Answer:

AB = 12

Step-by-step explanation:

Since the triangle is isosceles, the sides AB and BC are congruent. Then you have ...

4x = 2x+6

2x = 6 . . . . . . subtract 2x

4x = 12 . . . . . .multiply by 2

The side AB has length 12.

3 0
3 years ago
In AABC, mZA=x, mZB = 2x +2, and
AnnyKZ [126]

Answer:

x = 29

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

x + 2x + 2 + 3x + 4 = 180, that is

6x + 6 = 180 ( subtract 6 from both sides )

6x = 174 ( divide both sides by 6 )

x = 29

6 0
2 years ago
Read 2 more answers
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