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3 years ago

Which expression is equivalent to 160x2 - 64x

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

160x2-64x = 320 - 64x. Factor out 64 from both terms and we get 64(5 - x). Your possible answers don’t match.

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Mr. McGill is telling the type of number is and puts rational as his answer. What

mariarad [96]

The different types of numbers include:

Integers
Rational numbers.
Irrational numbers.

<h3>How o illustrate the information?</h3>

Integers are made up of both positive and negative numbers. There is neither a decimal nor a fractional part to any integer; instead, they are all represented by the letter Z.

An integer that is not negative and is always bigger than zero called a natural number. The letter N is used to symbolize it. Whole numbers don't have a decimal or fractional component, it should be stated.

The form p/q, where q is not equal to zero, is used to indicate a rational number, denoted by the symbol Q. All rational numbers, including integers, fractions, decimals, whole numbers, and natural numbers. Some examples of rational numbers include 1/2 and - 4/5.

The numbers that cannot be expressed using integers in the p/q form are now referred to as irrational numbers.

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2 years ago

The area of a rectangle is found by multiplying the length by the width: A = lw. A certain rectangle has an area of x2 + 7x + 12

sukhopar [10]

x^2+7x+12 can be done by factoring as a process of ax^2+bx+c, whereas a is equal to 1.

First, we need to know 2 numbers that multiply to 12 and add to 7. In that case, that would be 6 and 2. And then finally write the variable x in the first parts of the parentheses, that would be: (x+6)(x+2).

5 0

3 years ago

Read 2 more answers

What is the answer to v-10=9

Harlamova29_29 [7]

Hi Barrows!

First to add 10 from both sides!

v-10=9
+10 +10

Then crossout of negative 10 and positive 10 too.

Answer is v=19

4 0

3 years ago

Read 2 more answers

Y=8x-3/-4x-10 has a vertical asymptote with equation(enter equation of the vertical asymptote

xz_007 [3.2K]

Answer:

x=-2.5 if the function is $f(x)=\frac{8x-3}{-4x-10}$

Step-by-step explanation:

$y=\frac{8x-3}{-4x-10}$ has discontinuities when the denominator is 0.

You will either have a hole or a vertical asymptote depending on what happens to the numerator after you find when the bottom is 0.

That is whatever you found that makes the bottom 0, if it makes the top also 0 then you will have a hole at x=the number that made the bottom 0.

If it makes the top anything other than 0, then it is a vertical asymptote at x=the number you found that made the bottom 0.

Let's do this now.

When is -4x-10 equal to 0?

We have to solve the equation:

-4x-10=0

Add 10 on both sides:

-4x=10

Divide both sides by -4:

x=10/-4

Reduce by dividing top and bottom by 2:

x=5/-2

x=-5/2

x=-2.5 (if you want decimal form)

Now does it make the top 0? This is the deciding factor on whether you have a hole at x=-2.5 or a vertical asymptote at x=-2.5.

Let's see.

8(-2.5)-3=-23

Since the top is not 0 at x=-2.5 then you have a vertical asymptote at x=-2.5.

If the top were 0, then you would have had a hole at x=-2.5.

5 0

3 years ago

Please solve the following question.

miss Akunina [59]

The expected number of defective sample is 0.25

<h3>The probability distribution</h3>

The given parameters are:

Population, N = 30
Sample, n = 2
Selected, x = 4

Start by calculating the defective proportion using:

$p = \frac{x}{N}$

So, we have:

p = 4/30

p = 0.13

The probability distribution is calculated as:

$P(x) = ^nC_x * p^x *(1 - p)^{n - x}$

So, we have:

$P(0) = ^2C_0 * 0.13^0 *(1 - 0.13)^{2 - 0} = \frac{19}{25}$

$P(1) = ^2C_1 * 0.13^1 *(1 - 0.13)^{2 - 1} =\frac{23}{100}$

$P(2) = ^2C_2 * 0.13^2 *(1 - 0.13)^{2 - 2} = \frac{1}{100}$

So, the probability distribution is:

x 0 1 2

P(x) 19/25 23/100 1/100

<h3>The expected number of defective sample</h3>

This is calculated using:

$E(x) = \sum x * P(x)$

So, we have:

E(x) = 0 * 19/25 + 1 * 23/100 + 2 * 1/100

Evaluate

E(x) = 0.25

Hence, the expected number of defective sample is 0.25

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8 0

2 years ago