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3 years ago

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.

Explanation

Formula for the exponential growth 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 .......

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

Taking 'natural log' 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

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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:

Dependent Variable, and
Independent Variable

The independent variable causes a change in the dependent variable, i.e. the dependent variable receives the effect, the independent variable is the cause 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: The Impact of Sunlight on Germination Rate of Seedlings.

Here, Sunlight is the independent variable affecting Germination Rate.

The dependent variable here would be: Germination Rate.

Therefore, 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.

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