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2 years ago

F x is a prime number, then x + 1 is not a prime number. A counterexample is x =

Mathematics

2 answers:

Finger [1]2 years ago

7 0

Answer:

A counterexample is x = 3

Step-by-step explanation:

We are given that x is a prime number, and x + 1 is not a prime number. However consider the number 3. We know that 3 is a prime number, as it is present as factors of 1 and itself. However 3 + 1 = 4 - which falls into the category of a composite number, as it can divide into 2 * 2. Therefore your counterexample could be x = 3.

svlad2 [7]2 years ago

3 0

Answer:

x=2

Step-by-step explanation:

x=2

x+1=3

and 3 is a prime

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Which expression is equivalent to i 233? a)1 b)–1 c)i d)–i

Aneli [31]

We have to find the value of the expression $i^{233}$

We know that the below values.

$i^2=-1\\i^4=1$

Hence, in order to find the value of the given expression, we can first rewrite it in terms of $i^4$

$i^{233}=(i^4)^{58}\cdot i$

Now, we know that $i^4=1$

Hence, we have

$i^{233}=(1)^{58}\cdot i$

$i^{233}=1\cdot i$

$i^{233}=i$

C is the correct option.

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2 years ago

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Leno4ka [110]

Answer:

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Step-by-step explanation:

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2 years ago

Need to write steps and solve thanks

nalin [4]

Answer:

The coordinates of endpoint V is (7,-27)

Solution:

Given that the midpoint of line segment UV is (5,-11) And U is (3,5).

To find the coordinates of V.

The formula for mid-point of a line segment is as follows,

Midpoint of UV is $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$

As per the formula, $\frac{x_{1}+x_{2}}{2}$ =5, $\frac{y_{1}+y_{2}}{2}$ =-11

Here $x_{1}=3; y_{1}=5$

Substituting the value of $x_{1}$ we get,

$\frac{3+x_{2}}{2}$ =5

$3+x_{2}=5\times2$

$x_{2}=10-3$

$x_{2}=7$

Substituting the value of $x_{2}$ we get,

$\frac{5+y_{2}}{2}$ =-11

$5+y_{2}=-11\times2$

$y_{2}=-22-5$

$y_{2}=-27$

So, the coordinates of V is (7,-27)

7 0

2 years ago

Hope you all have a great day!

ArbitrLikvidat [17]

u tooooooo!!

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2 years ago

The recipe made eight servings but I only want to make a note for five people if the recipe for eight servings call for 2 cups o

Hunter-Best [27]

8 / 2 = 45 / x....8 servings to 2 cups = 45 servings to x cups
cross multiply
(8)(x) = (2)(45)
8x = 90
x = 90/8
x = 11 1/4 (or 11.25) cups of flour are needed <==

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3 years ago