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elixir [45]
3 years ago
13

If you have three types of yogurt in four types of typing how many possible combinations are there

Mathematics
1 answer:
lbvjy [14]3 years ago
8 0
There are twelve possible combinations. Most of them will seriously mess up the keyboard.
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Please help me with this question. Algebra 2 is hard!!
trapecia [35]

Answer:

  • domain: {x ∈ ℝ : x ≤ 5}
  • range: {y ∈ ℝ : y ≤ -1}

Step-by-step explanation:

<u>Domain</u>

The domain of a function is the set of x values for which the function is defined. Here, the domain is limited by the values of x that make the square root defined. That is, the expression under the radical cannot be negative:

  -3x +15 ≥ 0

  15 ≥ 3x . . . . . . add 3x

  5 ≥ x . . . . . . . . divide by 3

  x ≤ 5 . . . . . . . . put x on the left (swap sides)

The rest of the notation in the domain expression simply says x is a real number.

  domain: {x ∈ ℝ : x ≤ 5} . . . . . . matches the first choice

__

<u>Range</u>

The range of a function is the set of values that f(x) can have. We know the square root can be zero or any positive number. When it is zero, f(x) = -1.

When it is a positive number, that value is multiplied by -4 and added to -1, so f(x) is a number more negative than -1. Then the range of the function is all numbers -1 and below:

  range: {y ∈ ℝ : y ≤ -1} . . . . . . matches the last choice

_____

<em>Comment on domain/range problems</em>

When working domain and range problems, it works well to have a good understanding of the domain and range limitations of the functions we usually work with: polynomials, square root, logarithm, trig functions, exponential functions. Domain and range problems generally involve combinations of these or ratios of combinations of these.

3 0
3 years ago
Convert 3 5/8 + 1 3/4 to an improper fraction
Charra [1.4K]

<em> </em><em>ans</em><em> </em><em>is</em><em> </em><em>4</em><em>3</em><em>/</em><em>8</em><em>.</em>

<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>✳</em><em>✴</em><em>⤴</em><em>⤴</em>

7 0
3 years ago
Read 2 more answers
The position of an object at time t is given by s(t) = 3 - 4t. Find the instantaneous velocity at t = 8 by finding the derivativ
zysi [14]
For this case, we have that the equation of the position is given by:
 s (t) = 3 - 4t&#10;
 To find the velocity, we must derive the equation from the position.
 We have then:
 s' (t) = - 4&#10;
 Then, we evaluate the derivative for time t = 8.
 We have then:
 s' (8) = - 4
 Answer:
 
the instantaneous velocity at t = 8 is:
 
s' (8) = - 4
7 0
3 years ago
Read 2 more answers
In the first quadrant you start at 2,4 and move 5 units right
NikAS [45]

Answer:

Thanks for asking!

Step-by-step explanation:

(2,9)

5 0
3 years ago
If f(x) = 3x^2 express the value of f(2+h)-f(2)/h as a polynomial in terms of h.
LekaFEV [45]

Answer:

Step-by-step explanation:

8 0
2 years ago
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