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3 years ago

Identify the prime numbers in the following lists.

Mathematics

2 answers:

Gnoma [55]3 years ago

5 0

A. 5,7,11
b. 3
c 31,17
d. 2,61

azamat3 years ago

4 0

A prime number is a number that only one times that number can be done
5 is prime only 1x5 and 5x1
a. 5,7,11
b. 3 not 14 cuz 1x14 and 2x7
c. 31,17. Not 9 cuz 1x9 and 3x3 not 15 cuz 1x15 and 3x5
d. 61,2 not 782 cuz 1x782 and 2x391

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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

vesna_86 [32]

Answer:

$f(x) = 3(x -\frac{2}{3})^2 -\frac{22}{3}$

The vertex is $(\frac{2}{3}, -\frac{22}{3})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = 3x ^ 2 -4x -6$

Take common factor 3.

$f(x) = 3(x ^ 2 -\frac{4}{3}x - 2)$

The values of the coefficients for the function within the parenthesis are the following: $a = 1$ , $b = -\frac{4}{3}$ , $c = -2$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= -\frac{2}{3}$

$(\frac{b}{2})^2=\frac{4}{9}$

Add and subtract $\frac{4}{9}$

$f(x) = 3([x ^ 2 -\frac{4}{3}x +\frac{4}{9}]- 2-\frac{4}{9})$

Write the expression of the form

$f(x) = (x-\frac{b}{2})^2 +k$

$f(x) = 3(x -\frac{2}{3})^2 -\frac{22}{3}$

The vertex is $(\frac{2}{3}, -\frac{22}{3})$

3 0

2 years ago

Hello! i need help with question 67 & 68

Anni [7]

Answer:

67. A

68. D

Step-by-step explanation:

I don't remember exactly the explanation, but I recommend you try to learn more about number lines sometime when you aren't under stress from schoolwork, because they're pretty simple questions to answer once you get a better understanding of them!

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2 years ago

Why does the square root of 64 have a positive and negative value?

barxatty [35]

Because it means it has two answers when -8×-8 it equals 64 so is 8×8
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