Zina spends 1.5 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be represented by the sequence below.1.5, 2.25, 3.0, 3.75, ...

Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously?

A. f(n + 1) = f(n) + 1.5
B. f(n + 1) = f(n) + 0.75
C. f(n + 1) = f(n)
D. f(n + 1) = f(n)

Answers

Answer 1
Answer:

Let

f(1)=1.5\n f(2)=2.25\n f(3)=3\n f(4)=3.75

we know that

f(2)-f(1)=2.25-1.5=0.75\n f(2)=f(1)+0.75\n \n f(3)-f(2)=3-2.25=0.75\n f(3)=f(2)+0.75\n \n f(4)-f(3)=3.75-3=0.75\n f(4)=f(3)+0.75\n \n.\n.\n.\n f(n+1)=f(n)+0.75

This is an arithmetic sequence, the common difference is equal to 0.75

therefore

the answer is the option

B. f(n + 1) = f(n) + 0.75

Answer 2
Answer:

It would be f(n+1) = f(n)+0.75

So, OPTION B IS YOUR ANSWER.........


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48 degrees 96 degrees x =

Answers

Answer:

144°

96+48(further away angles)

Answer:

x = 144°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 48° + 96° = 144°

The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10Find d when v=70​

Answers

d \propto  v^2

$\implies d=kv^2$

substitute the given values, $5=k(10)^2\implies k=\frac1{20}$

now, $d=\frac{1}{20}\times( 70)^2=\frac{70\times70}{20}=245$

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1) 2x + 8y = 20
y=2​

Answers

Answer:

2x+8y=20;y=2  

Solution :

{x,y} = {2,2}  

 

System of Linear Equations entered :

  [1]    2x + 8y = 20

  [2]    y = 2

Graphic Representation of the Equations :

   8y + 2x = 20        y = 2  

 

 

Solve by Substitution :

// Solve equation [2] for the variable  y  

  [2]    y = 2  

// Plug this in for variable  y  in equation [1]

  [1]    2x + 8•(2) = 20

  [1]    2x = 4

// Solve equation [1] for the variable  x  

  [1]    2x = 4  

  [1]    x = 2  

// By now we know this much :

   x = 2

   y = 2

We are done

Solution :

{x,y} = {2,2}

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is 2x+y=12 3x-18=y

Answers

 2x+y=12: y=4

3x-18=y: x=2

How many solutions does x^2 - 2x +1 = O have?

Answers

Answer:

1

Step-by-step explanation:

(X-1)(X-1) are your factors which only give you one solution of x=1

Given the function rule f(x) = x^2 - 3x + 2, what is the output of f(-2)

Answers

Answer:

The output value of f(-2) is, 14

Step-by-step explanation:

Given the function:

f(x) = x^2-3x+2             ......[1]

We have to find the output of f(-2).

Substitute x = -2 in [1] we have;

f(-2) = (-2)^2-3(-2)+2

f(-2) = 4+6+2

Simplify:

f(-2) = 12

therefore, the output value of f(-2) is, 12

f(-2) = -2 ^ 2 - 3 * -2 + 2
f(-2) = 4 - (-6) + 2
f(-2) = 10 + 2
f(-2) = 12