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.


Which of the following is the most reasonable domain and range for the function?

Answer:

m∠ADC = 132°

Step-by-step explanation:

From the figure attached,

By applying sine rule in ΔABD,

[tex]\frac{\text{sin}(\angle ABD)}{\text{AD}}=\frac{\text{sin}(\angle ADB)}{AB}[/tex]

[tex]\frac{\text{sin}(120)}{35}=\frac{\text{sin}(\angle ADB)}{30}[/tex]

sin(∠ADB) = [tex]\frac{30\text{sin}(120)}{35}[/tex]

                 = 0.74231

m∠ADB = [tex]\text{sin}^{-1}(0.74231)[/tex]

             = 47.92°

             ≈ 48°

m∠ADC + m∠ADB = 180° [Linear pair of angles]

m∠ADC + 48° = 180°

m∠ADC = 180° - 48°

m∠ADC = 132°

Answer:

12

Step-by-step explanation:

I am assuming you are asking for f(x)=x^2-3x+8? You plug (-1) in for all portions of x. This means you get (-1)^2-3(-1)+8. (-1)^2 is simply 1 because -1 x -1=1. 3*-1 is -3. This makes the equation 1 - (-3) + 8. The middle section simplifies down to +3 making it 1+3+8, or 12.

Answer:

2 solutions

Step-by-step explanation:

in most cases, linear equations have two solutions depending on which unlike terms you decided to simplify first

Answer:

603 miles in 3 days

Step-by-step explanation:

Let's find out how many miles in 1 day:

Let's find out how many miles in 3 days:

I hope this helps!

Answer: 2097÷4 = 524.25

Answer:

524.25

Step-by-step explanation:

Good bewtiful to u too

Answer:

Step-by-step explanation:

Since we are not told what to find, we can as well find the new tire pressure after reducing to 28% of the target pressure

Given the target tire pressure = 32psi

If the tire pressure of the vehicle is 28% below the target pressure, then the pressure of the tire will be;

32 - (28% of the target pressure)

= 32 - (28% of 32)

= 32 - (0.28 * 32)

= 32 - 8.96

= 23.04psi

Hence the new tire pressure if it is 28% below the target is 23.04psi

Answer:

p = 61 degrees

Step-by-step explanation:

The sum of all angles that make up a striaght line is 180 degrees. To find p you just subtract the other angles from 180: 180 - 87 - 32 = 61.

Answer:

1/15

Step-by-step explanation:

1/5+3+2        all of the marbles

2/10              odds of drawing an orange marble(bc 2 orange marble)

3/9                 because to get 3 green and 1 marble is removed and 9 is total          marbles left

2/10*3/9=1/15  muliply  odds because 2 draws of marbles    

Answer:

See attached file.

Step-by-step explanation:

This can be graphed by plugging in two distinct x values and solving each for y.  That will give you two x,y coordinates to draw on the graph, which will let you trace the line defined by them.

You can get the points where the line intersects the axis by solving either variable for zero.  Try giving x a value of 2 or 0 to find those.

Answer:

0.4

Step-by-step explanation:

Pls mark me brainliest! :D

Answer:It is 0.4 or 2/5

Step-by-step explanation:

Hope this helps!!

Step-by-step explanation:

The composite function (f o g)(x)

= f(x² - 5)

= 4(x² - 5) + 1

= 4x² - 19.

4x² - 19

This is your correct answer friend

Answer:

329/9, the answer seems wrong but I triple checked because I thought so too. The answer is 100% correct

Step-by-step explanation:

Angle EFG + Angle FGH + Angle GEF = 180 degrees

(2x+1) + (6x+2) + (x + 19) = 180 degrees

9x + 22 = 180 degrees

9x = 158 degrees

x= 158/9

x+19 = Angle GEF

158/9 + 19 = Angle GEF

329/9 =Angle GEF

Double check:

(2x+1) + (6x+2) + (x + 19), x=158/9

2(158/9) + 1 = 325/9

6(158/9) +2 = 322/3

(158/9) +19 = 329/9

325/9 + 322/3 + 329/9 = 180

Answer:

The value of x is 16

Step-by-step explanation:

The angle Bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle

In Δ QPR

∵ QS is the angle bisector

∵ PR is the opposite side

→ By using the rule above

∴ [tex]\frac{PS}{PQ}[/tex] = [tex]\frac{SR}{RQ}[/tex]

∵ PS = x and PQ = 30

∵ PR = 40

∵ RS = PR - PS

∴ RS = 40 - x

∵ RS = 40 - x and RQ = 45

→ Substitute them in the rule above

∴ [tex]\frac{x}{30}[/tex] = [tex]\frac{40-x}{45}[/tex]

→ By using the cross multiplication

∵ x × 45 = 30 × (40 - x)

∴ 45x = 30(40) - 30(x)

∴ 45x = 1200 - 30x

→ Add 30x to both sides

∵ 45x + 30x = 1200 - 30x + 30x

∴ 75x = 1200

→ Divide both sides by 75

∴ x = 16

∴ The value of x is 16

Answer:17

Step-by-step explanation:trust me bro

Answer:

A[2,3],(2,4),(2,5),(2,6)

Answer:

p x 0.79 = 7.90 or 0.79 x p =7.90

Answer:the answer is c,no;Robert actually made an error of 10 present since 8/80=10

Step-by-step explanation:

Answer:

Answer:the answer is c,no;Robert actually made an error of 10 present since 8/80=10

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Answer:

x= 1/42

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x+3/7+2=x+5/2

combine like terms (2 and 3/7)

4x+17/7=x+5/2

Step 2: Subtract x from both sides.

4x-x+17/7=x-x+5/2

3x+17/7=5/2

Step 3: Subtract 17/7 from both sides.

3x+17/7−17/7=5/2-17/7

3x=1/14

Step 4: Divide both sides by 3.

3x/3=1/14/3

1/14 * 1/3 = 1/42

x=1/42

Answer:

512 cm^3

Step-by-step explanation:

side of the cube = 8cm

volume=8*8*8=512cm ^3

Answer:

In this problem, the equation is basically as follows:

F(x)=0.5x+12

where f(x) is the total cost and x represents the number of rides

F(6)= 15 means that the total cost of the amusement park when a person rides six rides is $15.

Answer:

5x2x6

Step-by-step explanation:

Because you cut it in half so you have to divide the length and width by 2.

Step-by-step explanation:

We can make 2 equations as follows:

2x = y + 16 and x + 2y = 18

x + 2y = 18 is the same as x = 18 - 2y. Hence, 2(18 - 2y) = 2x = y + 16.

2(18 - 2y) = y + 16

36 - 4y = y + 16

5y = 20

y = 4.

Answer:

11

Step-by-step explanation:

QUESTION:

Simplify each expression

ANSWER:

1.) [tex]\green{{- 8n}}[/tex]

2.) [tex]\green{{- 2b - 60}}[/tex]

3.) [tex]\green{{- 10x - 14}}[/tex]

4.) for number 4 study my step-by-step explanation so you can answer that

STEP-BY-STEP EXPLANATION:

1.) First, If the term doesn't have a coefficients, it is considered that the coefficients is 1

WHY?

Learn why:

Why is it considered that the coefficient is 1?

Remember that any term multiplied by [tex]\blue{{1}}[/tex] remains the same :

[tex]\blue{{1}}[/tex] [tex]{× x = x}[/tex]

Step 1:

The equality can be read in the other way as a well, so any term can be written as a product of [tex]\blue{{1}}[/tex] and itself:

[tex]{x = }[/tex] [tex]\blue{{1}}[/tex] [tex]{× x}[/tex]

Step 2:

Usually, we don't need to write multiplacation sign between the coefficient and variable, so the simple form is:

[tex]{x = 1x}[/tex]

This is why we can write the term without the coefficient as a term with coefficient [tex]{1}[/tex]

Now let's go back to solving as what i said if a term doesn't have a coefficient, it is considered that the coefficient is 1

[tex]{n - 9n}[/tex]

[tex]\red{{1}}[/tex] [tex]{n -9n}[/tex]

Second, Collect like terms by subtracting their coefficients

[tex]\red{{1n - 9n}}[/tex]

[tex]\red{{( 1 - 9)n}}[/tex]

Third, Calculate the difference

how?

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from larger

[tex]\red{{1 - 9}}[/tex]

[tex]\red{{- (9 - 1)}}[/tex]

Subtract the numbers

- ([tex]\red{{9 - 1}}[/tex])n

- [tex]\red{{8}}[/tex]n

[tex]\green{\boxed{- 8n}}[/tex]

2.) First, Distribute - 6 through the parentheses

how?

Multiply each term in the parentheses by - 6

[tex]\red{{- 6(b + 10)}}[/tex]

[tex]\red{{- 6b - 6 × 10}}[/tex]

Multiply the numbers

- [tex]{6b}[/tex] - [tex]\red{{6 × 10}}[/tex]

- [tex]{6b}[/tex] - [tex]\red{{60}}[/tex]

Second, Collect like term

how?

Collect like terms by calculating the sum or difference of their coefficient

[tex]\red{{- 6b + 4b}}[/tex]

[tex]\red{{(- 6 + 4)b}}[/tex]

Calculate the sum

[tex]\red{{(- 6 + 4)}}[/tex]b

[tex]\red{{-2}}[/tex]b

[tex]\green{\boxed{- 2b - 60}}[/tex]

3.) First, Distribute 2 through parentheses

how?

Multiply each term in the parentheses by 2

[tex]\red{{2(x - 5)}}[/tex]

[tex]\red{{2x - 2 × 5}}[/tex]

Multiply the numbers

[tex]{2x -}[/tex] [tex]\red{{2 × 5}}[/tex]

[tex]{2x -}[/tex] [tex]\red{{10}}[/tex]

Second, Distribute - 4 through the parentheses

how?

Multiply each term in the parentheses by - 4

[tex]\red{{- 4(3x + 1)}}[/tex]

[tex]\red{{- 4 × 3x - 4}}[/tex]

Calculate the product

- [tex]\red{{4 × 3}}[/tex]x - 4

- [tex]\red{{12}}[/tex]x - 4

Third, Collect like terms

how?

Collect like terms by subtracting their coefficient

[tex]\red{{2x - 12x}}[/tex]

[tex]\red{{(2 - 12)x}}[/tex]

Calculate the difference

[tex]\red{{(2 - 12)}}[/tex]x

[tex]\red{{- 10}}[/tex]x

Fourth, Calculate the difference

how?

Factor out the negative sign from the expression

[tex]\red{{- 10 - 4}}[/tex]

[tex]\red{{- (10 + 4)}}[/tex]

Add the numbers

- ([tex]\red{{10 + 4}}[/tex])

- [tex]\red{{14}}[/tex]

[tex]\green{\boxed{- 10x - 14}}[/tex]

That's all I know sorry but I hope it helps :)

Answer:

D

Step-by-step explanation:

D

Answer: A is the answer

Step-by-step explanation:

Answer:

a = 132

b = 132

d = 29

e = 29

f = 151

g = 24

h = 24

Answer:

5

Step-by-step explanation:

x + y = 3

xy = 2

x = 1 and y = 2 or x = 2 and y = 1

x + y = 1 + 2 = 3

xy = (1)(2) = 2

y^2 + x^2 = (2)^2 + (1)^2 = 4 + 1 = 5

Answer:

Step-by-step explanation:

do the two small rectangle first. they are 2 by 8's meaning that one side is 16 and the other 16 (16+16=32)

Now for the big one which is a 6 by 6 (6*6=36)

add 36 + 32 and the area is 68