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lozanna [386]
3 years ago
6

Describe how to solve the inequality 3(a+5)<9

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0
First, let's use the distributive property on 3(a+5)

3(a + 5) = 3a + 3(5) = 3a + 15

Now, let's go back to the inequality

3(a+5) < 9

Use the distributive property

3a + 15 < 9

Subtract both sides by 15

3a < -6

Divide both sides by 3

a < -2

That's your answer.

Have an awesome day! :)
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For the piecewise function, find the values h( - 6), h(0), h(5), and h(9).- 5x – 13, for x &lt; -3h(x) = { 5, for - 35x&lt;5for
sleet_krkn [62]

Given the piecewise function h(x):

h(x)=\begin{cases}-5x-13,x

-When x is less than "-3", h(x)=-5x-13

-When x is between -3 and 5, h(x)=5

-When x is greater than or equal to 5, h(x)=x+1

1) For h(-6), this notation indicates that you have to determine the value of h(x) when x=-6

-6 is less than -3, which means that for this value of x, the function has the following shape

h(x)=-5x-13

Replace the expression with x=-6 and calculate the corresponding value of x:

\begin{gathered} h(-6)=-5(-6)-13 \\ h(-6)=30-13 \\ h(-6)=17 \end{gathered}

2) For h(0), you have to determine the value of h(x) when x=0. Zero is between -3 and 5, for this value of x, the function h(x) has the following shape:

h(x)=5

This equation represents a horizontal line, which means that for every value within the interval of definition -3≤x<5, the function always has the same value h(x)=5

We can conclude that:

h(0)=5

3) For h(5), you have to determine the value of h(x) for x=5, for values of x greater than or equal to 5, h(x) has the following shape:

h(x)=x+1

Replace the expression with x=5 and calculate the corresponding value of h(x):

\begin{gathered} h(5)=5+1 \\ h(5)=6 \end{gathered}

4) For h(9), you have to determine the value of h(x) when x=9, 9 is greater than 5, for this value of x, the function has the following shape:

h(x)=x+1

Replace the expression with x=9, and calculate the corresponding value of h(x):

\begin{gathered} h(9)=9+1 \\ h(9)=10 \end{gathered}

So, to sum up:

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Answer:

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Step-by-step explanation:

(4 ×10^10)(9×10^-5)​

= (4 x 9) x 10^(10 - 5)

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= 3.6 x 10^6   <-------in scientific notation

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Can anyone tell me what is the formula for the volume of a hemisphere​
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Answer: 2TTr3 / 3

Step-by-step explanation: Volume is simply the amount of space inside of an object and a hemisphere is a three-dimensional object that is half of a sphere. The formula to find the volume of a hemisphere is 2TTr3 / 3, where pi is 3.14, and the radius is half of the diameter.

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