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il63 [147K]
3 years ago
14

Using the distributive property simplify the expression -3(x - 2) + 4

Mathematics
2 answers:
S_A_V [24]3 years ago
8 0

Answer:

-3x+10

Step-by-step explanation:

-3(x - 2) + 4

Using the distributive property:

-3*x-3*(-2)+4

we have:

-3x+6+4

-3x+10

Art [367]3 years ago
7 0

Answer:

Step-by-step explanation:

=-3 (×-2)+4

=-3×+6+4

=-3×+10

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A biologist recorded a count of 337 bacteria present in a culture after 5 minutes and 699 bacteria present after 15 minutes.
hoa [83]

The initial population was 234.

<em><u>Explanation</u></em>

<u>Formula for the exponential growth</u> is:   A= P*e^r^t , where P is the initial amount, A is the final amount, r is the rate of growth and  t  is the time duration.

There was 337 bacteria after 5 minutes and 699 bacteria after 15 minutes. So, the equations will be......

337=P*e^5^r .................................. (1)\\ \\ 699=P*e^1^5^r ................................. (2)

Now dividing equation (2) by equation (1) , we will get .......

\frac{699}{337}=\frac{e^1^5^r}{e^5^r} \\ \\ e^1^0^r = \frac{699}{337}

<u>Taking 'natural log'</u> on both sides.........

ln (e^1^0^r) = ln (\frac{699}{337})\\ \\ 10r= 0.7295....\\ \\ r= 0.07295.... \approx 0.073

Now, plugging this r=0.073 into equation (1), we will get......

337= P*e^5^(^0^.^0^7^3^)\\ \\ 337= P*1.4405 \\ \\ P= 233.946 \approx 234

So, the initial population was 234.

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3 years ago
Given: m&lt;4 + m&lt;7 = 180°<br> Prove: c ll d<br> I need the statements and reasons
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How do you expand (4x+2)2
kifflom [539]

Answer:

=8x+4

Step-by-step explanation:

=2(4x+2)

a=2,b=4x,c=2

=2 x 4x + 2 x 2

Simplify- 2 x 4x + 2 x 2: 8x + 4

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1. Identify the DEPENDENT VARIABLE in the testable
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To identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.

In a research study, there are typically two main variables that direct the scientific enquiry. They are:

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The independent variable causes a change in the dependent variable, i.e. the dependent variable receives the <em>effect</em>, the independent variable is the <em>cause </em>of the change.

It is very easy to identify the dependent variable in any testable hypothesis once you are able to pick out which variable is causing a change in the other.

For example, let's say the topic of a research is: <em>The Impact of Sunlight on Germination Rate of Seedlings.</em>

Here, <em>Sunlight </em>is the independent variable affecting <em>Germination Rate</em>.

The dependent variable here would be: <u><em>Germination Rate.</em></u>

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brainly.com/question/24657192

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