Select the correct answer.
If f(t)
- 6 and 9(3)
22 (
+ 3), find g(x) < f(x).
OA. 5/2 - 3232
- 1867
OB. 75
3VI3
18va
OC. 5
6vr
OD.
5
3.13 – 180


Answer:

Step-by-step explanation:

Part A

If the gardener increases the number of dahlia plants by buying the new bulbs,

Let the equation representing year (x) and number of bulbs purchased (y) is,

y = mx + b

Here, m = Number of plants purchased each year

b = Initial numbers of plants

For x = 0, and y = 6,

6 = m(0) + b

b = 6

For x = 1, y = 56,

56 = m(1) + 6

m = 50

Therefore, equation for this method of increasing the numbers of plants will be,

y = 50x+ 6

Let the equation for the second method of increasing the number of plants is represented by the equation,

y = a(b)ˣ

From the data given in the table,

For x = 0, y = 6

6 = a(b)⁰

a = 6

For x = 1, y = 12

12 = 6(b)¹

b = 2

Therefore, equation representing the second method (By diving the existing bulbs) will be,

y = 6(2)ˣ

Part B

By substituting the value of x = 10 years,

Method - 1

y = 50(10) + 6

y = 506 plants

Method - 2

y  = 6(2)¹⁰

y = 6144 plants

Part C

After 5 years number of plants by method - 1,

y = 50(5) + 6

  = 256

After 5 years number of plants by method - 2,

y = 6(2)⁵

y = 192

Similarly, After 10 years number of plants by method - 1,

y = 50(10) + 6

  = 506

By method - 2,

y = 6(2)¹⁰

y = 6144

Since, number of plants after 5 years are less by the second method as compared to method 1

But after 10 years second method results the number of plants more than method-1,

Therefore, gardener should adopt method 2 for increasing the numbers of plants.  

Functions are used to represent tables and equations.

(a) The equation of the functions

The function of "Buy New Bulbs" is a linear function with an initial value of 6, and a rate of 50 (i.e. 56 - 6)

So, the equation is:

[tex]y = 6 + 50x[/tex]

The function of "Divide Existing Bulbs" is an exponential function with an initial value of 6, and a rate of 2 (i.e. 12/6)

So, the equation is:

[tex]y = 6(2)^x[/tex]

Hence, the equations of the functions are [tex]y = 6 + 50x[/tex] and [tex]y = 6(2)^x[/tex]

The expected number of bulbs in 10 years

This means that x = 10.

So, we have:

[tex]y = 6 + 50x =6 + 50*10 = 506[/tex]

[tex]y = 6(2)^x =6 *2^{10} = 6144[/tex]

Hence, the expected number of bulbs in 10 years for both functions are 506 and 6144, respectively

Compare the expected number of bulbs in 5 and 10 years

When x = 5.

We have:

[tex]y = 6 + 50x =6 + 50*5 = 256[/tex]

[tex]y = 6(2)^x =6 *2^5 = 192[/tex]

When x = 15

We have:

[tex]y = 6 + 50x =6 + 50*15 = 756[/tex]

[tex]y = 6(2)^x =6 *2^{15} = 196608[/tex]

By comparison;

In 5 years, the expected number of bulbs for the function of "Buy New Bulbs" is greater than the function of "Divide Existing Bulbs", however the expected number of bulbs for the function of "Buy New Bulbs" is less than the function of "Divide Existing Bulbs" in 15 years

Read more about functions at:

https://brainly.com/question/15602982

Answer:

eq: s= 5w + 3

Step-by-step explanation:

independent: number of weeks

dependent:  amount of stickers

the amount of stickers depend on how many weeks pass by :) (English is my second language so I may write weird)

Answer:

d

Step-by-step explanation:

can i have brainliest

Answer:

First, follow the first step in PEMDAS so you would do the parenthesis first followed by exponents, multiplication, division, addition, then subtraction

Step-by-step explanation:

6 + 8 ÷ 4 (4*5)^2

6 + 8 ÷ 4 + 20^2

6 + 8 ÷ 4 + 400

6 + 2 + 400

= 408

Answer:

[tex]D = (7,3)[/tex]

Step-by-step explanation:

Given

[tex]D = (3,7)[/tex]

See attachment for graph

Required

Identify and correct the error

From the attached graph, the coordinate of D is at:

[tex]x = 7[/tex]

[tex]y = 3[/tex]

So:

Allie's mistake is that, she identifies x as y coordinate and y as the x coordinate.

So, the right coordinate is:

[tex]D = (7,3)[/tex]

Answer:

x = 6

Step-by-step explanation:

6 x 2 = 12

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

y=c+6

Step-by-step explanation:

this is the only equation I could think that fits the situation

hope this helped!

Answer:

1: 31.5. 2: 5. 3: 4.6 4: 45

Answer:

Answer is D) 42x − 24

Step-by-step explanation:

Opening the expression given in question

6(7x − 4)

6 will be multiplied by both items present inside parenthesis.

it can be written as

={(6 * 7x) - (6*4)}

=42x-24

Hope that clears the question.

Answer: 6 units squared

Step-by-step explanation: ok here is how you do it so you make the triangle like I did and once you make it. You count the squares about how long it is and how high it is in this case I got for the base 6 and the height 2 so we multiply to get 12 also we divide 12 and 2 to get 6 units squared there you go. hope this helps.

Answer:

?

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Probability = required outcome / Total possible outcomes

Total possible outcomes = (blue slice + yellow slice) = (2 + 6) = 8

Required outcome = number of red slices = 0

Probability of stopping on a red slice :

(0 / 8) = 0

Answer:

The answer is 912 million

Step-by-step explanation:

912 million people speak Chinese in the world than they do English.

Answer:

-3p^7 + 8p

Step-by-step explanation:

OPPOSITE: having a position on the other or further side of something; facing something, especially something of the same type.

Answer:

okay what's your question?

Step-by-step explanation:

Answer:

whats the question

Step-by-step explanation:

Answer:

2000 linear feet

becouse 21-19=2 so thats his profit per linear foot

and it costs him 4000 so to get that amount he has to sell 2000 because 2000×2=4000

Answer: 4.50 Look at the picture

Step-by-step explanation: Hope this help :D

Answer:

600 m/s2 ×300 kg = 180000 kg.m/s2

Answer:

180000Kgm/s2

Step-by-step explanation:

Force is the product of mass and acceleration. So F=MA

F=600 x 300

F=180000

Answer:

between 12 and 17

hope helps

The measure of the third side of the triangle will fall between 5 and 29.

Triangle Inequality Theorem is that for two sides of a triangle, the third side cannot be equal to or greater than the third side's length.

From the Triangle Inequality Theorem,

The sum of the lengths of any two sides of a triangle must be greater than the third side, then the third side of this triangle must be strictly less than 29.

But we can't make the length of the third side too small, either.

If x is the length of the third side, then x + 12 > 17, which means that x > 5

Therefore, the length of the third side must fall between 5 and 29.

Hence, the measure of the third side of the triangle will fall between 5 and 29.

Learn more about Triangle Inequality Theorem, click;

https://brainly.com/question/1163433

#SPJ3

Answer:

1008

Step-by-step explanation:

All you have to do is find what 24 percent of 4200 is.

Answer:

w = 17.4º OR 17 2/5º

Step-by-step explanation:

5w - 3 = 90º

5w = 90º - 3

5w = 87º

w = 17.4º OR 17 2/5º

Hope that helps, and sorry if it's wrong!

Answer:

cos(θ - φ) is -240/289

Step-by-step explanation:

The given parameters are;

The location of θ = Quadrant III

The location of φ = Quadrant I

cos(θ) = -8/17

cos(φ) = 15/17

By trigonometric identities, we have;

cos(θ - φ) = cos(θ)·cos(φ) - sin(θ)·sin(φ)

Given that 'θ' is in quadrant III, we have;

sin(θ) is negative

By Pythagoras' theorem, we have;

∴ sin(θ) = -√(17²- 8²)/17 = -15/17

Whereby 'φ' is in quadrant I, by Pythagoras' theorem, we have;

sin(φ) = √(17² - 15²)/17 = 8/17

∴ cos(θ - φ) = (-8/17) × (15/17) + (-15/17) × (8/17) = -240/289 = -0.83044982699

Answer:$9.16

Step-by-step explanation:

What I did was 20% of $45.80!  If you have a tip or a percent problem you can think of it as that percent of the certain number.  In math "of" means mupltiply.

Punch in your calculator .2 which is 20% times 45.8 and you get your answer $9.16.  

Hope this helps bwo

Answer: type of pizza is dependant and the number of votes is independent

Step-by-step explanation:

the type of pizza they get depends on how many votes there are

Answer:

The area of this triangle is 7.5 square feet.

Step-by-step explanation:

Area of a triangle formula: A = 1/2 * base * height;

Apply formula to equation

(5 * 3)/2 = 7.5

Answer:

Yes that is correct. 89 and below. Is a B. 90 or higher is a A.

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Answer:

the answer is no solution

Step-by-step explanation:

Answer:

(of an increase) becoming more and more rapid.

"the social security budget was rising at an exponential rate"

Step-by-step explanation:

✨research ✨

Answer:

(of an increase) becoming more and more rapid.

(Mathematics)

of or expressed by a mathematical exponent.

Step-by-step explanation:

Answer:

12x^3+x^2-9x+2

Step-by-step explanation:

(4x-1)(3x-2)(x+1)

(12x^2-8x-3x+2)(x+1)

(12x^2+(-8x-3x)+2)(x+1)

(12x^2-11x+2)(x+1)

12x^2(x+1)-11x(x+1)+2(x+1)

12x^3+12x^2-11x(x+1)+2(x+1)

12x^3+12x^2-(11x^2+11x)+2(x+1)

12x^3+12x^2-11x^2-11x+2x+2

12x^3+(12x^2-11x^2)+(-11x+2x)+2

12x^3+x^2-9x+2