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Fiesta28 [93]
2 years ago
7

What is th range of the function?

Mathematics
1 answer:
andrey2020 [161]2 years ago
3 0

Answer:

Option D. [4,9]

Step-by-step explanation:

we know that

The range of a function is the complete set of all possible resulting values of the dependent variable (output values), after we have substituted the domain (input values)

In this problem we have

The domain of the function (input values or independent variable) is the interval [2,3,4]

The range of the function (output variable or dependent variable) is the interval [4,9]

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Is rolling a 3 standard doe and then rolling a sum greater than 4 when counting the next roll an independent event?
zhannawk [14.2K]

Answer:

False

Step-by-step explanation:

In this question, you roll 3 from the standard die and then add it with the next roll to see if the sums are greater than 4.

From this explanation you can see that you use the result from your first roll for the second event, so we can conclude that the event is dependent.  

Imagine if we change the result of the first roll into 5, without adding the second roll we can know that the sum will be greater than 4. The first event result will influence the second event, so it is a dependent event.

5 0
3 years ago
Write the rate as a unit rate. 44 points in 4 quarters
Margaret [11]

Answer:

44 p points in 4 quarters = llets per Qtr.

3 0
3 years ago
Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads abou
svlad2 [7]

Solution :

Amount of money Victoria has = $200

The amount modelled by function = h(x) = 200

According to the function,

s(x) = (1.05)x - 1

It means that the total amount of the interest that Victoria will receive s(x) is equal to original amount of $200 which multiplied by the rate of interest (1.05) and then multiplied by the time that Victoria keeps the money in the bank (x) minus 1.

4 0
2 years ago
What is the equation of the line that passes through the origin and is perpendicular to the line 4x+3y=6
frez [133]

The Equation of a Line

The slope-intercept form of a line can be written as:

y = mx + b

Where m is the slope of the graph of the line and b is the y-intercept.

In the specific case where the line passes through the origin (0,0), we can find the value of b by substituting x=0 and y=0:

0 = m(0) + b

Solving for b:

b = 0.

Thus, the equation of the line reduces to:

y = mx

We only need to find the value of the slope.

That is where we need the second data. Our line is perpendicular to the line of equation 4x + 3y = 6.

Solving for y:

y=-\frac{4}{3}x+2

The slope of the second line is -4/3.

We must recall that if two lines of slopes m1 and m2 are perpendicular, then:

m_1\cdot m_2=-1

Substituting the value of m1 and solving for m2:

\begin{gathered} -\frac{4}{3}\cdot m_2=-1 \\ m_2=\frac{3}{4} \end{gathered}

The slope of our line is 3/4 and the required equation is:

y=\frac{3}{4}x

From this last equation, we need to find the general form of the line.

Multiply both sides of the equation by 4:

4y = 3x

Subtract 3x on both sides:

4y - 3x = 0

Reorder:

-3x + 4y = 0

5 0
11 months ago
PLEASE HELP If you can i'd really appreciate it!!!
dedylja [7]

Answer:

The volume is 22.44 cubic inches

Step-by-step explanation:

The formula for the volume of a sphere is  

We know the diameter, but we can easily convert this into the radius by dividing it by 2, since the diameter is twice as long as the radius.

3.5/2 = 1.75

Now we can find the volume.

So, the average volume of a clementine is 22.46 cubic inches

The closest option you have is 22.44 so if you round it that should be your answer.

6 0
2 years ago
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