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Vitek1552 [10]
3 years ago
7

I need a group of 4 functions and explain why they're functions.

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
5 0

Answer:

A group functions when everyone works together

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P( x) =x^3-6x^2-5x-14 What is the remainder R when the polynomial p(x) is divided by (x-7)
Igoryamba

Answer:

The remainder is zero

Step-by-step explanation:

To find the remainder we will use the long division

\frac{x^{3}-6x^{2}-5x-14}{x-7}=x^{2}\frac{x^{2}-5x-14 }{x-7}⇒(1)

\frac{x^{2}-5x-14}{x-7}=x\frac{2x-14}{x-7}⇒(2)

\frac{2x-14}{x-7}=2⇒(3)

From (1) , (2) and (3)

The quotient of the long division is x^{2}+x+2 and no remainder

So the remainder is zero

* If you want to check your answer Multiply the quotient by the divisor

(x^{2}+x+2)(x-7)=x^{3}-6x^{2}-5x-14

8 0
3 years ago
What quantity of a 30% solution do you need to make 150 mL of a 20% solution?
Bumek [7]

Answer:

Volume required = 100mL

Step-by-step explanation:

Let the volume of 30% solution required be = V mL

Amount of solute in V mL of solution = 30% of V = 0.3V...............(i)

This amount is also present in 150 mL of 20% solution

For 150 mL of 20% solution we have amount of solute = 150 mL X 20%

                                                                                          = 30..............(ii)

Thus equating i and ii we get

0.3V = 30

Thus V =100 mL

7 0
3 years ago
Suppose that E and F are two events and that P(E)=0.3 and P(F|E)=0.5. What is P(E and F)?
Sergio [31]

E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15


Bayes' theorem is transforming preceding probabilities into succeeding probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.

P(F|E)=P(E and F)÷P(E)

It is given that P(E)=0.3,P(F|E)=0.5

Using Bayes' formula,

P(F|E)=P(E and F)÷P(E)

Rearranging the formula,

⇒P(E and F)=P(F|E)×P(E)

Substituting the given values in the formula, we get

⇒P(E and F)=0.5×0.3

⇒P(E and F)=0.15

∴The correct answer is 0.15.

If, E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15.

Learn more about Bayes' theorem on

brainly.com/question/17010130

#SPJ1

4 0
2 years ago
Determine the total annual FICA tax for an annual salary of $165,000. Use $106,800 for maximum taxable earnings.
Naya [18.7K]
It will be b because
7 0
2 years ago
They want me to put something here and the question is the picture
arsen [322]

Answer:

D. (1, -2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

5x - 2y = 9

3x + 4y = -5

<u>Step 2: Rewrite systems</u>

10x - 4y = 18

3x + 4y = -5

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Add to equations together:                    13x = 13
  2. Divide 13 on both sides:                          x = 1

<u>Step 4: Solve for </u><em><u>y</u></em>

  1. Define:                              3x + 4y = -5
  2. Substitute in <em>x</em>:                 3(1) + 4y = -5
  3. Multiply:                            3 + 4y = -5
  4. Isolate <em>y </em>term:                  4y = -8
  5. Isolate <em>y</em>:                           y = -2

And we have our final answer!

8 0
3 years ago
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