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3 years ago

Item 4

Mathematics

1 answer:

ryzh [129]3 years ago

7 0

Answer:

b-4.2 < -7.5

Step-by-step explanation:

Here, we want to write an inequality

A number b minus 4.2

b - 4.2

is less than -7.5

< -7.5

The inequality is:

b-4.2 < -7.5

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I'm bo.red here's a question, How to find area of a circle<br> just put the formula

Nuetrik [128]

Answer:

Step-by-step explanation:

A = $\pi$ $x^{2}$

7 0

2 years ago

Read 2 more answers

How would I solve this?? 5p-8(p+1)>16

alexandr402 [8]

<em>*To solve inequalities is similar to solving equations: isolate the desired variable to one side.</em>

So firstly, distribute -8 to (p + 1):

$5p-8p-8>16$

Next, combine like terms:

$-3p-8>16$

Next, add 8 to both sides:

$-3p>24$

Lastly, divide both sides by -3. Now since you are dividing by a <u>negative</u>, you will be flipping the inequality symbol as well.<u> Your final answer will be $p$ </u>

6 0

3 years ago

The numbers 1, 2, 3, 4,5, 6, 7, 8, 9 are arranged in a list so that each number is either greater than all the numbers that come

Nina [5.8K]

The lists of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 that are possible is; 256

<h3>How to Solve Probability Combinations?</h3>

We are told that the last digit has to be either a one (1) or nine (9), then are two (2) options (>,<) for the remaining eight digits, so there are 2⁸ = 256 arraignments where each digit is either greater than or less than the preceding digits. This can be confirmed as below;

Numbers beginning with 1 = 8C0 = 1

Numbers beginning with 2 = 8C1 = 8

Numbers beginning with 3 = 8C2 = 28

Numbers beginning with 4 = 8C3 = 56

Numbers beginning with 5 = 8C4 = 70

Numbers beginning with 6 = 8C5 = 56

Numbers beginning with 7 = 8C6 = 28

Numbers beginning with 8 = 8C7 = 8

Numbers beginning with 9 = 8C8 = 1

Total lists of numbers possible = 1 + 8 + 28 + 56 + 70 + 56 + 28 + 8 + 1 = 256

Read more about Probability Combinations at; brainly.com/question/25688842

#SPJ1

4 0

2 years ago

Write the product of 0.4×0.4×0.4 in exponential form

bearhunter [10]

<span>0.4×0.4×0.4 is equal to 0.4 to the third power, or 0.4</span>³
To convert to exponential form, count how many times the number is multiplied by itself and make that number the exponent. In this case, the 0.4 is multiplied by itself 3 times, so our exponent is 3.

Answer is 0.4³

5 0

4 years ago

What are the roots of the polynomial equation x3 - 6x = 3x2 - 8? Use a graphing calculator and a system of equations.

makkiz [27]

Answer:

d : 4, 1, -2.

Step-by-step explanation:

There's no need for a calculator in my opinion because we can use the rational root theorem which states that the equations of this form:

$\sum_{i=0}^{n} a_{i}x^i = 0 = a_{0} + a_{1}x + a_2x^2 + ... + a_nx^n = 0\\ a_i \in \mathbb{Z}$

Have rational roots, than the roots are of the form: $\frac{k \cdot a_o}{p \cdot a_n}, \ where \ k, p \in \mathbb{Z}.$

Rewriting the equation we have:

$x^3 - 3x^2 -6x + 8 = 0\\By \ our\ previous \ claim \ x \in D_8 \ where \ D_n \ the \ set \ of \ divisors \ of \ n.\\D_8 = \{\pm 1, \pm 2, \pm 4, \pm 8\} \\We \ plug \ in \ some \ number from \ D_8.\\Letting \ x = -2;\\(-2)^3 -3(-2)^2 -6(-2) + 8 = 0 \ \ \ Thus \ x+2 \ is \ a \ factor.\\We \ can \ now \ simplify \ the \ eq. \ using \ Polynomial \ Long \ Division.$

$x^3 -3x^2 -6x + 8 = (x+2)(Q(x))\\To \ find \ Q \ we \ divide \ the \ original \ equation \ by \ x + 2; which \ yields:\\Q(x) = x^2 - 5x + 4.\\So \ we \ can \ use \ the \ quadratic \ formula \ to \ find \ the \ roots:\\x = 4,x = 1. \\Thus \ x \in \{-2, 1, 4\}. \ \ These \ are \ all \ the \ roots.$

5 0

4 years ago