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3 years ago

What is the additive inverse of -4a

1 answer:

3 0

The additive inverse of something is the number that, if you add it to the original number, you get 0.

The additive inverse of 5, for example, is -5. 5 plus -5 = 0.

You should be able to see how additive inverses are always going to be just the original number with the signs changed. (i.e., times -1)

The additive inverse of -4a would be 4a. -4a + 4a = 0.

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V\Researchers periodically survey a few thousand of the patients taking a certain medication in order to make connections betwee

yanalaym [24]

Answer:

The correct answer is - an observational study.

Step-by-step explanation:

It is given that, Researchers periodically survey a few thousand of the patients. These are taking specific medicine patients and researchers taking this survey to find the connection between that medication and the subjects' general health.

So, it can say that the researchers observed the patient's health by the effect of the medication, therefore, the Observational Study is the given method of gathering data.

6 0

3 years ago

(3x-4)-(x-5) pleaseeee help need asap

I am Lyosha [343]

Answer:

I hope this is the answer. 2x+1

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2 years ago

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Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server p

nata0808 [166]

Answer:

The probability of the tip to be more than 200 is 0.1.

Step-by-step explanation:

As per the given data

Amount of tip Number

0-20 200

20-50 100

50-100 75

100-200 75

200+ 50

____________________

Total= 500

So what is the probability of tip to be more than 200 is given as

$P(200+)=\frac{no. \, of\,occurrence}{Total\, Number}$

From the table the value is 50 for the tip to be more than 200 where as the total occurrences are 500 so substituting values:

$P(200+)=\frac{no. \, of\,occurrence}{Total\, Number}\\P(200+)=\frac{50}{500}\\P(200+)=0.1$

So the probability of the tip to be more than 200 is 0.1.

5 0

3 years ago

Find the center and the radius of the circle with the equation: x2+6x+y2+4y+12=0

Andrews [41]

Answer:

centre = (- 3, - 2) , radius = 1

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )

x² + 6x + y² + 4y = - 12

Use the method of completing the square on the x and y terms

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4

(x + 3)² + (y + 2)² = 1 ← in standard form

with centre = (- (- 3), - (- 2)) and r² = 1, that is

centre = (- 3, - 2) and radius = 1

8 0

2 years ago

Find the average rate of change of the function from x=1 to x=2. f(x)=−14/x^2

Irina-Kira [14]

Answer:

The average rate of change of the function from x=1 to x=2 will be: 10.5

Step-by-step explanation:

Given the function

$f\left(x\right)=-\frac{14}{x^2}$

at x₁ = 1,

f(x₁) = f(1) = -14/(1)² = -14/1 = -14

at x₂ = 2,

f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]

= [-3.5 - (-14)] / [2 - 1]

= [-3.5 + 14] / [1]

= 10.5 / 1

= 10.5

Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5

6 0

3 years ago