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2 years ago

What is the justification for each step in the solution of the equation?

Mathematics

2 answers:

jeka57 [31]2 years ago

6 0

13x−4=−36−27x+12: Distributive property

13x−4=−24−27x: Combine like terms

40x=−20: Addition Property of equality

Crazy boy [7]2 years ago

6 0

<h2>Answer with Step-by-step explanation:</h2>

13x−4= −9(4+3x)+12 (Given)

13x−4= −36−27x+12 (Distributive property: -9(4+3x)= -36-27x)

13x−4= −24−27x (combining like terms on each side: -36+12= -24)

40x−4=−24 (Addition Property of Equality: adding 27x on both sides )

40x= −20 (Addition Property of Equality: adding 4 on both sides )

x= −1/2 (Division Property of Equality: dividing both sides by 40)

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If a publisher of nontechnical books takes great pains to ensure that its books are free of typos, so that the probability of an

Troyanec [42]

Answer:

(a) 0.2707

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Step-by-step explanation:

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2 years ago

A scientist is growing bacteria in a lab for study. One particular type of bacteria grows at a rate of y=2t^2+3t+500. A differen

Leya [2.2K]

ANSWER

Approximately after 15 minutes.

EXPLANATION

The growth rate of the first bacteria is

$y = 2 {t}^{2} + 3t + 500$

The growth rate of the first bacteria :

$y = 3 {t}^{2} + t + 300$

To find the time that, there will be an equal number of bacteria, we equate the two equation;

$3 {t}^{2} + t + 300 = 2 {t}^{2} + 3t + 500$

$3 {t}^{2} - 2 {t}^{2} + t - 3t + 300 - 500 =00$

${t}^{2} - 2t - 200= 0$

We solve for t to get,

$t = 15.177$

$t = - 13.177$

We discard the negative value.

This implies that,

$t \approx15$

8 0

3 years ago

Write an explicit formula for an arithmetic sequence whose common difference is -4.5

makvit [3.9K]

If the difference is always -4.5, then it is always -4.5 times something, so that it changes -4.5 ever 1 number. This means that our equation is y=-4.5x. From there, we can add any constant, as it will not change the difference. I will leave that up to you to pick, so the equation is y=-4.5x+C, where C is any real number.

Hope this helps!

3 0

3 years ago

A candy store sells 7 packs of bubble gum for $29.33. How much would it cost to buy 3 packs?

alexira [117]

Hi there,

Recall how 7 packs for gum sell for $29.33.

Before we can calculate how much it would cost to sell 3 packs of gum, we must calculate how much it would first cost to sell 1 pack of gum.

The cost of 1 pack of gum is the current total cost divided by the total amount of gum packs you receive at that price.

In this case, the total cost is $29.33, and we receive 7 gum packs at that price.

Therefore, the cost of 1 pack of gum is $\frac{29.33}{7}$ , which equates to $4.19.