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3 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]3 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. <u>Therefore your counterexample could be x = 3.</u>

svlad2 [7]3 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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The cost of painting a wall that is 5 meters wide and 212 meters tall is $50. How many square meters can be painted for $1?

tigry1 [53]

Answer:

21.2 square meters

Step-by-step explanation:

The area of a parallelogram is base • height.

So:

1. Calculate the area of what you can get for $50. 5 • 212 = 1060 square meters.

2. Now you divide the first price ($50) by the desired price ($1). This one is easy because 50 / 1 = 50, but I'm putting this here for future reference in case you need to solve a problem that has a desired price that's greater than $1.

3. Divide the answer to step one by the answer to step two to get the area you can have painted for $1. 1060 / 50 = 21.2 square meters.

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2 years ago

Guys look at the pic of the park and read the question I need this ASAP WITH ALL STEPS the choices are

Alik [6]

Answer:

A. 821.5 Square Yards

Step-by-step explanation:

30 x 30= 900

900 is the area for the whole park

To find the pool area you need to do pi times Radius squared

so 3.14 x 5 x 5

That equals 78.5 for the pool area.

So to find the grass area you need to subtract the pool area from the park

900 - 78.5 = 821.5 square yards!

5 0

3 years ago

Find the slope of the line that passes through the points f(4) = 6 and f(-2) = 8.

leonid [27]

Answer:

slope = - $\frac{1}{3}$

Step-by-step explanation:

given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are

(4, 6 ) and (- 2, 8 )

calculate slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )

m = $\frac{8-6}{-2-4}$ = $\frac{2}{-6}$ = - $\frac{1}{3}$

6 0

2 years ago

The solutions to the inequality y > - 3x + 2

bonufazy [111]

not enough information to solve it as there are two unknowns in one inequality

4 0

3 years ago

Find the length and perimeter of a rectangle if its width is 19 m and its area is 475 m?.

Allisa [31]

The length of the rectangle is: 25 m

The perimeter of the rectangle is: 88 m

<h3>What is the Area and Perimeter of a Rectangle?</h3>

Area of a rectangle = (length)(width).

Perimeter of a rectangle = 2(length + width).

Give the following:

Width of rectangle = 19 m

Area of rectangle = 475 m²

Find the Length using the area formula:

475 = (length)(19)

475/19 = length

Length of the rectangle = 25 m

Find the perimeter of the rectangle

Perimeter of the rectangle = 2(25 + 19)

Perimeter of the rectangle = 2(44)

Perimeter of the rectangle = 88 m

Thus, the length of the rectangle is: 25 m

The perimeter of the rectangle is: 88 m

Learn more about the area and perimeter of rectangle on:

brainly.com/question/24571594

#SPJ1

4 0

2 years ago