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irinina [24]
3 years ago
11

A Jar contains five red marbles and three green marble. A marble is drawn at random and not replaced. A second marble is

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Answer:

20/56 or 5/14

Step-by-step explanation:

Prob of red = 5/8

Second red prob = 4/7

multiply those = 20/56

simplify if needed = 5/14

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Find the domain and range of the function f(x) = 3x^2 - 5.Also find f(-3) and the numbers which are associated with the number 4
Delicious77 [7]

Domain:


This function is a polynomial, i.e. a sum of powers of a variables, each with its coefficient. Polynomials are defined for every possible value of the variable, so the domain is the whole real number set: D = \mathbb{R}


Range:


A polynomial of degree 2 represents a parabola. Since the leading coefficients, i.e. the coefficient of the term with highest degree, is positive (in this case, it's 3), the parabola is concave up. It means that it has a minimum, and it's unbounded from above. So, the range is something like [a,\infty). To find the minimum, let's start with the "standard" parabola y=x^2, and transform it to the one of this exercise. y=x^2 has minimum 0, and thus its range is [0,\infty). When you multiply it times three, its shape narrows, but the range wont change: [0,\infty) \to [3\cdot 0,3\cdot \infty) = [0,\infty). Finally, when you subtract 5, you shift everythin down 5 units. This transformation affects the range, since you have [0,\infty) \to [0-5,\infty-5) = [-5,\infty)


Image of -3:


To compute f(-3), simply plug x=-3 in the formula:


f(-3) = 3(-3)^2-5 = 3\cdot 9 - 5 = 27-5 = 22


Numbers associated with 43:


We want to see which x value we must choose to get a y value of 43. So, the equation is


y = 3x^2-5 \to 43 = 3x^2-5 \iff 48 = 3x^2 \iff 16 = x^2 \iff x = \pm\sqrt{16} = \pm4

4 0
3 years ago
What is the degree of the function w(x) = (x-2)(x+3)
WITCHER [35]

Answer:

the degree is 2

Step-by-step explanation:

because when you distribute x - 2 to x+3 = x^2 - x - 6. When you see an exponent in a trinomial that's the degree. If it's polynomial and has multiple exponents the degree is the highest number of the exponents.

Example:

2x^5 + x^3 - 4x + 1

The degree of this polynomial is 5 since it's the highest exponent number.

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3 years ago
Compute a value for x that satisfies the equation below.
otez555 [7]
<h2>Linear equations</h2>

<em>The </em><em>graphical representation</em><em> of a linear equation is a straight line. To solve</em><em> linear equations</em><em>, i</em><em>t is important to keep in mind the following key concepts:</em>

  • <em>Maintain the balance of the equation by applying the </em><em>same operations</em><em> to both sides of the equation.</em>
  • <em>Clear the variable using like terms.</em>
  • <em>Use </em><em>inverse operations</em><em> to rearrange the equation.</em>
<h3>-x + 5 = 1</h3>

We will subtract 5 from both sides.

<h3>−x + 5 - 5 = 1 - 5</h3><h3>−x = -4</h3>

<em>We divide both sides by -1.</em>

<h3>-x/x = -4/-1</h3><h3>x = 4</h3>

Answer: <em>Therefore the solution of the exercise </em><em>-x+5=1,</em><em> is </em><em>x = 4</em><em>. The </em><em>correct option</em><em> is </em><em>"D".</em> ✅

<h2>See more about this:</h2><h3>brainly.com/question/15415929</h3>
5 0
2 years ago
How many hours is 10:52 am to 4:53 pm?
rosijanka [135]
If you want rough hours, it would be 6. Round the 10:52 to 11, and the 4:53 to 5, its 6 hours. You want specifics though, it would be exactly 6 hours and 1 minute.
8 0
4 years ago
If x &gt;0 and y &lt; 0. is the equation x - y &gt;0 sometimes, always, or never true
VashaNatasha [74]
Always
Hope this helps :)
7 0
3 years ago
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