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valentinak56 [21]
2 years ago
15

Find the range of the following equation for the domain {-4, 0, 3} f (x) = -2x^2 -3

Mathematics
1 answer:
Tamiku [17]2 years ago
7 0

The range of the function is {-34, -2, -20}

<h3>How to determine the range?</h3>

The function is given as:

f(x) = -2x^2 - 2

The domain is {-4, 0, 3}

Substitute the domain values in the function.

f(-4) = -2(-4)^2 - 2 = -34

f(0) = -2(0)^2 - 2 = -2

f(3) = -2(3)^2 - 2 = -20

This means that the range of the function is {-34, -2, -20}

Read more about range at:

brainly.com/question/10197594

#SPJ1

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55.8

Step-by-step explanation:

44 ^ 2 = 1936

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A group of students where asked about the number of e-mails they each send that day. The results are: 0, 1, 1, 2, 3, 3, 4, 4, 6,
valkas [14]

Answer:

Choice D

Step-by-step explanation:

After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.

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3 years ago
Determine if the following statement is true or false. (Enter TRUE if the statement is true, enter a counterexample if the state
ehidna [41]

Answer:

The answer is: the satement is FALSE.  

Step-by-step explanation:

The first step is to transform the propositons in the statement into symbols:

A: m is any positive integer

B: n is any positive integer

C: mn is a a perfect square

D: m is a perfect square

E: n is a perfect square

After that we replace the symbols into the statement:

If A and B and C, then D and E

Logical connectives on the satement are:

  • p⇒q conditional (if ...,then...). For this connective the only case when is FALSE is when the antecedent is true and the consequent is false.  
  • p ∧ q conjunction (p and q). For this connective the only case when is TRUE is when the two propositions are true at the same time.  

So now, we are going to replace the logical connectives on the statement:

((A ∧ B) ∧ C)  ⇒ (D ∧ E)

There is a hierarchy in logical connectives, first we evaluate those inside brackets. The principal connective is evaluated at the end. In this particular case, the principal connective is the conditional.

As we have five different propositions, the combinations are given by the following rule:

2^n= 2^5=32

32 different combinations  

In figure 1, added bellow, it shows the construction of truth table.

In figure 2, added bellow, it shows the development of the truth table. In the development, we don't have as a result a tautology, therefore the statement is FALSE.  

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
8 0
3 years ago
Help? *****10 Points*****
Luda [366]
I think the answer is the third one
3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20log_%7B10%7D%20%5C%3A%20x%3D%204" id="TexFormula1" title=" log_{10} \: x= 4" alt=" log_{10}
Alinara [238K]

Answer:

log_{10}(x )  = 4

the property of Logarithms,

log_a(x)= y \\ \implies x=a^y

so,

x =  {10}^{4}

7 0
3 years ago
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