How are the graphs of the functions f(x) = . 16and g(x) = 3/64 related?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.

Answer:

C

Step-by-step explanation:

First you find which line is which.

The one with 5x in it is the steepest one, and we have to be above it due to the >.

The one with 2x in it is the least steep, and we have to be below it due to the <.

Graph C satisfies both these restrictions.

Answer:

Not True

Step-by-step explanation:

>_<

[tex]\text{To find your answer, plug in the values to the equation and solve:}\\\\3(2)-2(-1)=13\\\\\text{Solve:}\\\\3(2)-2(-1)=13\\\\6+2=13\\\\8=13\\\\\text{8 does not equal 13, therefore making the equation FALSE}\\\\\boxed{\text{False}}[/tex]

Answer:

19/40

Step-by-step explanation:

just divide the number of girls by the total number of students.

323/680 = 19/40 or 0.48

Answer:

3.14 square cm

Step-by-step explanation:

Since, a coin is circular in shape, hence its area would be equal to the area of a circle.

[tex]\therefore are \: of \: coin = \pi {r}^{2} \\ = 3.14 \times {1}^{2} \\ = 3.14 \times 1 \\ = 3.14 \: {cm}^{2} \\ [/tex]

Step-by-step explanation:

sides of 2 triangles are proportional

x/12=28/21

x=16

=======================================================

Explanation:

The diagonal pieces are 28 and 21. They pair up to get the fraction 28/21

The horizontal pieces are x and 12, in the same order from left to right. The order is important (so things pair up properly). We get the fraction x/12

-------

Set the two fractions equal to each other and solve for x

28/21 = x/12

28*12 = 21*x .... cross multiply

336 = 21x

21x = 336

x = 336/21 .... divide both sides by 21

x = 16

Answer:

the answer is approximately 6.047

Answer: b ~= 6.71

Answer with Steps:

tan(50) = 8/b

b = 8/tan(50)

b ~= 6.71

Answer:

6, 10, 8 is the correct answer.

Step-by-step explanation:

Given that, the recursive function:

[tex]a_n=a_{n-1}-(a_{n-2}-4)[/tex]

6th term, [tex]a_{6} =0[/tex]

5th term, [tex]a_{5} =-2[/tex]

To find:

First three terms of the sequence = ?

Solution:

Putting n = 6 in the recursive function:

[tex]a_6=a_{5}-(a_{4}-4)\\\Rightarrow 0=-2-(a_{4}-4)\\\Rightarrow 2=-(a_{4}-4)\\\Rightarrow -2=(a_{4}-4)\\\Rightarrow -2+4=a_{4}\\\Rightarrow a_{4}=2[/tex]

Putting n = 5 in the recursive function:

[tex]a_5=a_{4}-(a_{3}-4)\\\Rightarrow -2=2-(a_{3}-4)\\\Rightarrow -2-2=-(a_{3}-4)\\\Rightarrow 4=(a_{3}-4)\\\Rightarrow a_{3}=8[/tex]

Putting n = 4 in the recursive function:

[tex]a_4=a_{3}-(a_{2}-4)\\\Rightarrow 2=8-(a_{2}-4)\\\Rightarrow 2-8=-(a_{2}-4)\\\Rightarrow 6=(a_{2}-4)\\\Rightarrow a_{2}=10[/tex]

Putting n = 3 in the recursive function:

[tex]a_3=a_{2}-(a_{1}-4)\\\Rightarrow 8=10-(a_{1}-4)\\\Rightarrow 8-10=-(a_{1}-4)\\\Rightarrow -2=-(a_{1}-4)\\\Rightarrow 2=a_{1}-4\\\Rightarrow a_{1}=4+2\\\Rightarrow a_{1}=6[/tex]

So, first, second and third terms are 6, 10, 8.

Answer:

See bolded / underlined / italicized below -

Step-by-step explanation:

This is a great question!

If x were the length of this rectangle, then we could conclude the following,

2( 38 ) + 2( x ) > 692,

As you can see there is a greater than sign present, as the perimeter is at least 692 centimeters. In this case the perimeter is given to be at least 692 centimeters, but can also be calculated through double the width and double the length together. And of course we are given the width to be 38 cm -

2( 38 ) + 2x > 692,

76 + 2x > 692,

2x > 616,

x > 308

Solution = Length should be at least 308 cm

( The attachment below is not drawn to scale )

Answer:

d = 13.9965 in

Step-by-step explanation:

Area of a Circle Formula: A = πr²

diameter = 2r

Step 1: Plug in known variables

153.86 = πr²

Step 2: Solve for r

153.86/π = r²

r² = 48.9752

r = √48.9752

r = 6.99823

Step 3: Find d

d = 2(6.99823)

d = 13.9965

Answer:

Step-by-step explanation:

We khow that the area of a cercle is :

A= r²*π where r is the radius

A= 153.86 in²

so : r² = 153.86/π = 48.97 ≈ 49

then r = 7

so the diameter is 14 in

Answer:

C

Step-by-step explanation:

8 - |2g - 5|

= 8 - |-2 * (-3.5) - 5|

= 8 - |7 - 5|

= 8 - |2|

= 8 - 2 = 6

Answer:

d.) 36

Step-by-step explanation:

f(x) = 4.[tex]3^{x}[/tex]

f(2) = 4 × 3² = 4 × 9 = 36

Answer:

B.12.32

Step-by-step explanation:

From the first information we can write :

3y-x=2

from the second one :

2y+2x= 92

so our equation are :

Multiply the first one by 2 then add it to the second one to get rid of x :

Answer:

$850.7

Step-by-step explanation:

Penelope has $1459.75 in her account.

She pays different amount that are given above.

i.e.

=1459.75-200.25-359.45-125-299.35

=475.7

Then she deposit $375

Now,

=475.7+375

=850.7

So, She has $850.7 in her account after she pays her bills and makes deposits.

Answer:

$805.7 OwO

Step-by-step explanation:

Answer:

151,200

Step-by-step explanation:

The possible set of numbers will be 151200  

A permutation is an arrangement of objects in a definite order.

Given that, John want to find his bicycle's number, so he decided to write down all the possible 6-digit numbers from 0 to 9.

Here, we will use permutation to find the possible numbers,

Formula =

ⁿPₓ = n! / (n-x)!

Therefore,

¹⁰P₆ = 10! / (10-6)!

= 10! / 4!

= 10 × 9 × 8 × 7 × 6 × 5 = 151200

Hence, the possible set of numbers will be 151200  

Learn more about permutation, click;

https://brainly.com/question/1216161

#SPJ2

Answer:

the answer is-1<=x<7.

Step-by-step explanation:

let us replace <= and < sign by equal to(=)

when we do it we get,

-6x +14 = -28 and ex + 28 =25

when we solve them we get,

x=-1 and x= 25 respectively from 1st and 2nd question. so, -1<=x<7 is answer...

hope it will help uh...

Answer:

.84

Step-by-step explanation:

The probability that a worker chosen at random works at least 8 hours is 0.84.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

From the given graph,

Probability of 6 hours = 0.02

Probability of 7 hours = 0.11

Probability of 8 hours = 0.61

Probability of 9 hours = 0.15

Probability of 10 hours = 0.08

The probability of at least 8 hours can be obtained as illustrated below:

P(At least 8 hours) = P(8) + P(9) + P(10)

P(At least 8 hours) = 0.61 + 0.15 + 0.08

P(At least 8 hours) = 0.84

Therefore, the probability that a worker chosen at random works at least 8 hours is 0.84.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ7

Answer:  5.  P = (-4, 6)   R = (-4, -4)

               6. (a) a = 4, b = 3      (b) BC = 8     (c) B = (3, 4)

               7. (a) m = 4, n = 6     (b) PQ = (-2, 6)     (c) SR = (2, -6)

Step-by-step explanation:

5. The distance from Q (4, 0) to A (0, 3) is 4 left and up 3.

   So the distance from A to P is 4 left (0 - 4) and up 3 (3 + 3)

   --> P = (-4, 6)

    Similarly, the distance from Q (4, 0) to B (0, -2) is 4 left and down 2.

   So the distance from A to P is 4 left (0 - 4) and down 2 (-2 - 2)

   --> P = (-4, -4)

6. Follow the same steps as #5 (above) to get the following coordinates:

   A = (-3, 4)   B = (3, 4)

   D = (-3,-4)  C = (3, -4)

a) a = 4, b = 3

b) BC = 2(4) = 8

c) B = (3,4)

7. Follow the same steps as #5 (above) to get the following coordinates:

   P = (-4, 6)    Q = (0, 6)

   S = (0, -6)    R = (4, -6)

a) m = 4, n = 6

b) midpoint PQ = (-2, 6)

c) midpoint SR = (2, -6)

Answer:

I think the answer is it stretches the graph horizontally by a factor of 3.

Step-by-step explanation:

Answer: it stretches the graph horizontally by a factor of 3

Step-by-step explanation: I got it correct on a-pex

Hey there! :)

Answer:

x = -36.

Step-by-step explanation:

Starting with:

-1 = 5 + x/6

Begin by subtracting 5 from both sides:

-1 - 5 = 5 - 5 + x/6

-6 = x/6

Multiply both sides by 6:

-6 · 6 = x/6 · 6

-36 = x.

Answer:

x = -36

Step-by-step explanation:

- 1 = 5 + x/6

Subtract 5 on both sides.

-1 - 5 = x/6

-6 = x/6

Multiply both sides by 6.

-6 × 6 = x

-36 = x

Answer:

$6

Step-by-step explanation:

Tico’s taco truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco trucks owner decided to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7.

The owner can calculate the daily revenue using the polynomial expression (-7x²+32x+240),

where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents.

x is number of $1 increments above the initial price of $4.  (x=0 means a price of $4, x=1 means a price of $5, etc.)

The revenue is -7x²+32x+240.  The average number of tacos sold is the revenue divided by the price.

For example, if x = 0, then the taco price is $4, the revenue is $240, and the number of tacos sold is 60.

If x = 1, then the taco price is $5, the revenue is $265, and the number of tacos sold is 53.

Each time x increases by 1, the number of tacos sold decreases by 7.

Continuing:

[tex]\left[\begin{array}{cccc}Value\ of\ x&Taco\ Price\ (\$)&Average\ Number\ of\ Tacos\ Sold&Daily\ Revenue\ (\$)\\0&4&60&240\\1&5&53&265\\2&6&46&276\\3&7&39&273\\4&8&32&256\\5&9&25&225\\6&10&18&180\end{array}\right][/tex]

The optimal price is $6.  At this price, the revenue is a maximum at $276.

Answer:

(a) 6

(b) 14

Step-by-step explanation:

Answer:  (a) 6

               (b) 14

Step-by-step explanation:

Let a represent the unknown digit for Chinese --> 70 + a

Let b represent the unknown digit for Mathematics --> 80 + b

Total scores ÷ Total number of tests = Average

[tex]\dfrac{78 + (70 + a) + (80 + b) + 62}{4}=76\\\\\\\dfrac{290 + a + b}{4}=76\\\\\\290 + a + b=304\\\\\\a+b=14[/tex]

The two digits must add up to 14.

The only options are: (9,5), (8,6), (7,7), (6,8), and (5,9),

            Mathematics   -   Chinese  

(9, 5)          89              -         75       =      14       LARGEST Difference

(8, 6)          88              -         76       =      12

(7, 7)          87              -          77       =      10

(6, 8)          86              -         78       =       8

(5, 9)          85              -         79       =       6      SMALLEST Difference

Answer:

£228.

Step-by-step explanation:

We know that each tile is 20 cm by 20 cm, which works out to be an area of 400 square cm.

The floor is 3 m by 5 m, which means it is 300 cm by 500 cm. 300 * 500 = 150000 square cm in area.

To find how many tiles are necessary, we need to find out the area of the floor divided by the area of the individual tiles.

150,000 / 400 = 1,500 / 4 = 750 / 2 = 375

So, to cover the floor, you will need 375 tiles.

Since tiles come in boxes of 10, you will need to find what is 375 divided by 10 so you can know how many boxes to buy.

375 / 10 = 37.5

Since you absolutely NEED 375 tiles to cover the floor, you need that half of a box, so you will buy 38 boxes of tiles.

Each box costs £6. 38 * £6 = £228. And that is your total cost!

Hope this helps!

Answer:

Their speed is 32 km/h.

Step-by-step explanation:

Since they're at the same speed, we can assign a variable to their speed called "x". When the first car increases its speed by 1 km/h, its new speed is "x + 1", while the other car decreases its speed by 10 km/h, so its new speed is "x - 10". The distance's formula can be expressed as below:

[tex]\text{distance} = \text{speed}*\text{time}\\[/tex]

With the modifications to their speed, the distance the first car covers in 2 h and the distance the second car covers in 3 h is shown below:

[tex]\text{distance}_{car1} = (x + 1)*2 \\\text{distance}_{car1} = 2*x + 2[/tex]

[tex]\text{distance}_{car2} = \text{speed}*\text{time}\\\text{distance}_{car2} = (x - 10)*3\\\text{distance}_{car2} = 3*x - 30[/tex]

Since the distance covered by them must be the same, we can find the value of x that makes the expressions equal.

[tex]2*x + 2 = 3*x - 30\\2*x - 3*x = -30 -2\\-x = -32\\x = 32[/tex]

Their speed is 32 km/h.

Answer:

575 boxes

Step-by-step explanation:

Let the total number of boxes = x

The farmer already loaded [tex]\dfrac25[/tex] of the boxes onto the truck.

Therefore, the remainder [tex]=1-\dfrac25=\dfrac35[/tex]

Since he needed to load 345 more boxes of tomatoes onto the truck.

[tex]\dfrac35 \times x =345\\3x=345\times5\\x=(345\times5) \div 3\\x=575[/tex]

The farmer had 575 boxes of tomatoes to load altogether.

Answer: 536,000

Step-by-step explanation:

Answer:

536 000

Step-by-step explanation:

because it izz what it izz

Answer:

x ≥ -8/3

Step-by-step explanation:

=> [tex]\frac{3x+8}{x-4} \geq 0[/tex]

Multiplying both sides by (x-4)

=> 3x+8 ≥ 0

Subtracting 8 to both sides

=> 3x ≥ -8

Dividing both sides by 3

=> x ≥ -8/3

Answer:

[tex]x\le \:-\frac{8}{3}[/tex]

[tex]x>4[/tex]

Step-by-step explanation:

[tex]\frac{3x+8}{x-4}\ge \:0[/tex]

Multiply both sides by (x - 4).

[tex]\frac{3x+8}{x-4} (x-4) \ge \:0(x-4)[/tex]

[tex]3x+8\leq \:0[/tex]

[tex]3x+8-8\leq \:0-8[/tex]

[tex]3x \leq \:-8[/tex]

[tex]x\le \:-\frac{8}{3}[/tex]

Makes denominator equal to 0.

[tex]x-4=0[/tex]

[tex]x = 4[/tex]

[tex]-8/3 \leq x<4[/tex]  doesn't work in the original inequality.

[tex]x>4[/tex]  works in the original inequality.

Answer:

18.87 square cm.

Step-by-step explanation:

The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.

Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.

The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.

The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.

1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.

6.8672588 + 12 = 18.8672588, or 18.87 square cm.

Hope this helps!

Answer:

(44 - 8(pi)) cm^2    Exact area

18,9 cm^2    Approximate area

Step-by-step explanation:

The shaded area is the area of the trapezoid minus the area of the semicircle.

area of trapezoid = (b1 + b2)h/2

area of semicircle = (pi)(r^2)/2

The triangles at both sides are right triangles. Each of the horizontal legs has length (14 cm - 8 cm)/2 = 3 cm. Each of the vertical legs is congruent to the radius of the semicircle.

b1 = lower base = 14 cm

b2 = upper base = 14 cm - 3 cm - 3 cm = 8 cm

shaded area = (b1 + b2)h/2 - (pi)(r^2)/2

= (14 cm + 8 cm)(4 cm)/2 - (pi)(4 cm)^2 / 2

= 44 cm^2 - 8(pi) cm^2

= (44 - 8(pi)) cm^2    Exact area

= 18.9 cm^2    Approximate area

Answer:

A - 5w

Step-by-step explanation:

I don't know how to explain it

TOP GUY MADE A VERY FUNNY JOKE LOL

Answer:

The total number of bacteria present in the sample after 2 hours is 12.

Step-by-step explanation:

In the function f(2) = 12, 2 represents x, and 12 represents the output when x is equal to 2.

In the context of this problem, this means that f(2) = 12 represents how in 2 hours, there were 12 bacteria present in the sample.

Answer:

The total number of bacteria present in the sample after 2 hours is 12.

Step-by-step explanation:

f(x) is the total number of bacteria, while x is the number of hours. We are given:

f(2)=12

2 is x (the input) and 12 is f(x) (the output).

Since x=2 and x=number of hours, 2 describes the number of hours.

Since f(x)= 12 and f(x)= number of bacteria, 12 describes the number of bacteria.

Therefore, after 2 hours, the total number of bacteria present is 12.