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ser-zykov [4K]
3 years ago
8

Please its very urgent :( Name five whole numbers that can be expressed as the difference of two perfect squares. Show the math!

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0

Answer:

9, 17, 3, 1600, 11

Step-by-step explanation:

Difference of two perfect squares:

a^2-b^2=(a-b)(a+b)

It seems that you want some

x=a^2-b^2, x \in \mathbb{Z}_{\ge 0}

Note: there's no official symbol for the set of whole numbers, I've already seem \mathbb{W}, \mathbb{Z}^+, as well.

5^2-4^2=25-16=9

There are infinitely many numbers that can satisfy the condition given.

The only condition is that a\geq b, once we are considering whole numbers and not integers.

x_{1}=5^2-4^2=25-16=9

x_{2}=9^2-8^2=81-64=17

x_{3}=2^2-1^2=4-1=3

x_{4}=50^2-30^2=2500-900=1600

x_{5}=6^2-5^2=36-25=11

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Solve for x: -5 < 8x + 11 < 19
vladimir1956 [14]

Answer:

-2<x<1

Step-by-step explanation:

-5 < 8x + 11 < 19

Subtract 11 from all sides

-5-11 < 8x + 11-11 < 19-11

-16 < 8x<8

Divide by 8

-16/8 < 8x/8 <8/8

-2<x<1

6 0
3 years ago
The train takes 1 1/2 hours to get from Miami to Orlando. The train takes 5 times as long as that to get from Miami to Tallahass
AleksandrR [38]
'Miami to Orlando' = 1 1/2 hours = 1.5 hours
'Miami to Tallahassee' = 5 times of 'Miami to Orlando',  then
 5 * 1.5 =  7.5
So the train would take 7.5 hours or 7 1/2 hours from Mami to Tallahassee.
7 0
3 years ago
Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op
Anika [276]

Answer:

The probability that the maximum speed is at most 49 km/h is 0.8340.

Step-by-step explanation:

Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.

The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.

To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.

The formula to convert <em>X</em> into <em>z</em>-score is:

z=\frac{X-\mu}{\sigma}

Compute the probability that the maximum speed is at most 49 km/h as follows:

Apply continuity correction:

P (X ≤ 49) = P (X < 49 - 0.50)

                = P (X < 48.50)

                =P(\frac{X-\mu}{\sigma}

*Use a <em>z</em>-table for the probability.

Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.

8 0
4 years ago
A. Use the points (5, 1273) and (10, 2546) to write an equation for the line.
pantera1 [17]

Using the points (5, 1273) and (10, 2546), equation for the line is 5y =  1273x.

<h3>Define equation.</h3>

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

Given,

Coordinates (5, 1273) and (10,2546)

For slope, m

m = y₂ - y₁/ x₂ - x₁

m = 2546 - 1273/10 -5

m = 1273/5

Equation in y = mx form,

y = 1273/5 x

Cross multiplying,

5y =  1273x

To learn more about equation, visit:

brainly.com/question/10413253

#SPJ1

8 0
1 year ago
Solve this equation for x. X+13=22
12345 [234]

Answer:

The value of X = 9

Step-by-step explanation:

X+13=22

X = 22-13

X = 9

4 0
2 years ago
Read 2 more answers
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