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2 years ago

Solve 8m^2+20m=12 for m by factoring.

2 answers:

7 0

First, off, divide both sides by 4 to make things easier
2m^2+5m=3
minus 3 both sides
2m^2+5m-3=0
factor
hmm
experiment
(2m-3)(m+1), nope
(2m+3)(m-1), nope
(2m-1)(m+3), yep

(2m-1)(m+3)=0
set each to zero
2m-1=0
2m=1
m=1/2

m+3=0
m=-3

m=1/2 or -3

pickupchik [31]2 years ago

5 0

This is an equation?

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A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount x (in dollars) the rest

Rzqust [24]

The answer is 1073+1108+819 all of this divided by 3 equals 1000, here's a picture of my board to see how I'vé done it

6 0

2 years ago

When to fractions are between 0 1/2 how do you know which fraction is greater explain

shepuryov [24]

By creating a common denominator, you can compare different numbers to the same ratio. For example:
Take 2/3 and 3/4
Now 3/4 is the same as 9/12
And 2/3 is the same as 8/12
Now that they have the same denominator, you can tell that 9/12 is clearly greater than 8/12, meaning 3/4 is greater than 2/3.

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2 years ago

Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

6 0

3 years ago

The 2016 Minneapolis Resident Survey was a questionnaire that the City of Minneapolis issued to its randomly chosen residents. I

sukhopar [10]

Answer: I and III

Step-by-step explanation:

We observe in the case provided that the researcher, who has no interest in the population to intervene, is going to carry out surveys to assess whether the neighborhood is a good place to live, obtaining the following conclusions:

i. The Minneapolis Resident Survey was an observational study.

ii. The Minneapolis Resident Survey was an experiment.

iii. The figure 50.1% is a descriptive statistic for the sample.

iv. The figure 50.1% is a statistical inference for the population.:By estimating the sample, obtained by a lower percentage of the total of the respondents, it is known that with a 95% confidence interval that the rating obtained from the respondents considering that the neighborhood is a good place to live was found between 0.44 and 0.50, taking this interval as a statistical inference for the population.

The correct answer is I and III, since in this study no interventions were made to the population and only one observation of a characteristic of the neighborhood was made and in III we know that the descriptive statistic only describes data and summarizes it, which is a of the ways to display the data from the descriptive survey.

3 0

2 years ago

Which is greater 1/4 of 12 or 1/3 of 12

Oliga [24]

The answer is 1/3 of 12 its just easy math for me

4 0

2 years ago