A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000 until 2016. Which of the following is the most reasonable domain for the function?

Step-by-step explanation:

Here you go, I tried my best

cheers

The original fraction is [tex]\frac{4}{8}[/tex]

Let the numerator = a

Let the denominator = b

Denominator is 4 larger than the numerator: b = a + 4

2 is added to both the numerator and the denominator: (a + 4 +2) and a + 2

The algebraic equation from the given statement is formed as follows;

[tex]\frac{a+ 2}{a+4+2 } = \frac{3}{5} \\\\\frac{a+ 2}{a + 6} =\frac{3}{5} \\\\5(a + 2) = 3(a + 6)\\\\5a + 10 = 3a + 18\\\\5a - 3a = 18 -10\\\\2a = 8\\\\a =4[/tex]

The original fraction is calculated as follows;

[tex]\frac{a }{a +4} = \frac{4}{4+ 4} = \frac{4}{8}[/tex]

Thus, the original fraction is [tex]\frac{4}{8}[/tex]

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Answer:-4/1

Step-by-step explanation:

Answer:

One unit right and three units down

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is translated a units right and b units up, its new location is at X'(x + a, y + b) while if a point is translated a units left and b units down, its location is X'(x - a, y - b).

Since point B is located at (0, 2) and translates to B' with coordinates (1, -1), the translation is given as (x + 1, y - 3) that is 1 unit right and 3 unit down.

Step-by-step explanation:

Original formula: T^2 = 2p + as

T^2 - 2p = as

s = (T^2 - 2p) / a

Answer:

25.7 cm

Step-by-step explanation:

Answer: I hope you understand, just mutiply whatever x is by 11 to get Y

Step-by-step explanation:

x = unknown number

9x+2x= 11x

Y=11x

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This triangle should be 180 degrees.

So you should add 80 and 45 and subtract it from 180 to get x.

Answer:

i=52

ii=32

iii=54

iv=92

Step-by-step explanation:

Comment if you need explanation

Answer:

A. 3:2

B. 31 children

(i). 35 children

(ii) 53 adults

(iii) 111 adults 89 children

(iv) The value of x is 35.

Step-by-step explanation:

Reflecting across the y axis, the x value becomes opposite and the y value remains the same.

(3,0) becomes (-3,0)

Answer:

(-3, 0)

Step-by-step explanation:

There is the same amount of units from either side of the y-axis to the points.

Answer:

4x (9+2)

Step-by-step explanation:

36x+8x

36 and 8 can be divided by 4 and they both have an x

[tex]36x + 8x = 4x(9 + 2)[/tex]

[tex]44x = 36x + 8 x[/tex]

[tex]44x = 44x[/tex]

The Answer is

[tex] \green {\boxed{4x(9+2)}}[/tex]

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1 + -4

2 + -5

3 + -6

4 + -7

Answer:

5 + -8

6 + -9

7 + -10

8 + -11

Step-by-step explanation:

Answer:

Step-by-step explanation:

SV is correct because it is the same

length of UT. You can check by using

your fingers to check the length of

UT then turn the picture around to

see if it is equal.

Hope this helps! <3

Answer:

S is the midpoint of UT

Step-by-step explanation:

US = ST   -----> from the picture

So, S is the mid point

Answer: The students can be divided into 7 groups.

Each group will have 3 boys and 8 girls.

Step-by-step explanation:

There are 21 boys and 56 girls.

To divide them so that each group has the same number of both boys and girls.

We find GCD(21,56).

21 = 3 x 7

56 = 2 x 2 x 2 x 7

GCD (21,56) = 7

So, the students can be divided into 7 groups.

Number of girls in each group = [tex]\dfrac{56}{7}=8[/tex]

Number of boys in each group = [tex]\dfrac{21}{7}=3[/tex]

So, each group will have 3 boys and 8 girls.

Answer:

y = 1500 + 800x

Step-by-step explanation:

This is the answer because Elisa charges 1500 dollars no matter what. That value is not dependant on anything. Every hour she is with the client is 800 dollars. That is why it is represented as 800x. X being the amount of hours. You add the two together to find how much Elisa's services cost.

Answer:

w = 10

Step-by-step explanation:

I did the math and and I got 10

Hope it helps!! :D

Answer:

w = 10?

Step-by-step explanation:

Answer:

-132

Step-by-step explanation:

When you plug in -8 to every x you get -2(8)^2+2(8)-20 which gives you -132.

Answer:

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Step-by-step explanation:

Given:

-x (-3 + x )2 = 6

-x (-3 + x )2 = 6

-x (-6 + 2x) = 6

-6x + 2x^2 = 6

2x^2 - 6x - 6 = 6 - 6

2x^2 - 6x - 6 = 0

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Answer:

y=-2x+6

Step-by-step explanation:

y=mx+b

10=(-2)(-2)+b

10=4+b

10-4=b

6=b

Answer:

67- No  46-No   49-Yes   47-No

Step-by-step explanation:

Hope this helps!

Answer:

67...No

46...No

49...Yes

47...No

Step-by-step explanation:

x - 42 = 7

Add 42 to both sides

x = 49

Answer:

b isnt a fuction

Step-by-step explanation:

Answer:B

Step-by-step explanation:

See attachment for math work and answer.

Answer:

2?

Step-by-step explanation: because he can hop them one step at a time or two steps at a time

Answer:

I think it might be C...

Answer:

6. is H

7. is B

Explanation:

the communitive property states that if: a+b=c, then b+a=c

if each ballon costs 2 dollars, that would b 2x or $2 (aka the 2) for 1 balloon (aka the x) and since he has a 10$ off coupon, you have to subtract 10$ so y=2x-10

Answer:

-4

Step-by-step explanation:

i took the  quiz on  k12 :)