A particular frozen yogurt has 75 calories in 2 ounces.How much calories are in 8 ounces of the yogurt?

Answer:

  (a)  F(x) = 2x^2 - x - 1

Step-by-step explanation:

The quadratic regression function of a graphing calculator does this nicely.

The one attached shows the function to be ...

  F(x) = 2x^2 -x -1

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Additional comments

The supplied point (0, -1) tells you the y-intercept is -1. That means the constant in the function's equation will be -1. Only one answer choice has that.

  F(x) = 2x^2 -x -1

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As always, the first step in problem solving should be to look at the problem, and look at the available solution choices. Understanding these things will generally allow you to throw out answer choices that don't provide a sensible answer to the question. Here, that leaves you with only one answer choice, which is all you need.

Answer:

sum = 900

Step-by-step explanation:

The sum of all odd number can be solved using arithmetic progression formula.

Odd numbers are numbers that cannot be exactly divided by 2 .That means odd number have remainder when divide by 2.

The first odd number is 1

The second is  3

The sequence goes like this

1, 3, 5, 7, 9, 11, 13, 15, 17, 19 , 21 .................................59

a = 1

d = 2

where

a = first term

d = common difference

let us find the number of terms before finding the sum

nth term = a + (n - 1)d

59 = 1 + (n - 1)2

59 = 1 + 2n - 2

59 + 2 - 1 = 2n

60 = 2n

n = 60/2

n = 30

Sum = n/2(a+L)

where L = last term

sum = 30/2(1 + 59)

sum = 15(60)

sum = 900

Final answer:

The given pattern is a mathematical sequence where each number is obtained by multiplying the previous number by 9 and subtracting 1. The solution to the pattern is 8, 72, 647, 5822, 52499.

Explanation:

The given pattern is a mathematical sequence where each number is obtained by multiplying the previous number by 9 and subtracting 1. The pattern continues by multiplying the new number by 9 and subtracting 1 again.

Let's break down the steps for each number in the sequence:

1. 1 x 9 - 1 = 8
2. 8 x 9 - 1 = 72
3. 72 x 9 - 1 = 647
4. 647 x 9 - 1 = 5822
5. 5822 x 9 - 1 = 52499

Therefore, the solution to the given pattern is 8, 72, 647, 5822, 52499.

Learn more about Mathematical sequence here:

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The given equation is in the form ax^2 + bx + c = 0, where

a = 2

b = -12

c = 18

Those a,b,c values are plugged into the discriminant formula below

d = b^2 - 4ac

d = (-12)^2 - 4(2)(18)

d = 144 - 144

d = 0

The discriminant is zero, so there is only one real root. This root is specifically a rational number.