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3 years ago

The number of eggs e in the carton and the total costs t of the eggs. what is the dependent variable

Mathematics

1 answer:

just olya [345]3 years ago

6 0

T because you need to know the number of eggs, e, to know how much it costs.

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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

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3 years ago

Event A has a 0.3 probability of occuring and event B has a 0.4 probability of occuring. A and B are independent events. What is

GarryVolchara [31]

When you say either, you add both A and B
0.3+0.4=0.7
Your answer is 0.70 which means 70%

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4 years ago

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-(a-b)(a-bc) if a=3 b=-4 c=2

d1i1m1o1n [39]

-77 PEMDAS is the process you would use and you would have to do the associative property with-(3--4)

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ILL GIVE BRAINLIEST PLEASE HELP (picture)

nalin [4]

<u><em>A</em></u> would be correct hope I helped.

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The vertex form of the equation of a parabola is y=(x-5)+16. what is the standard form of the equation

kakasveta [241]

Answer:

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Step-by-step explanation:

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