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Dvinal [7]
3 years ago
11

Identify the parent function that can be used to graph the function f(x)= |4|-3

Mathematics
1 answer:
son4ous [18]3 years ago
7 0

Answer: Option d.

Step-by-step explanation:

 1. The parent function of an absolute value function is shown below:

f(x)=|x| (This is the simplest form). Because from this function we can make transformations that allow us to obtain the function f(x) = 4|x| -3

2. If you take the parent function and make y= f(x)-3/4, then you have:

y= f(x)-3/4=|x|-3/4 (The function is shifted down 3/4 units on the y-axis).

3. Then you if you make y= 4(f(x)-3/4), as following, you obtain:

y = 4(f(x)-3/4))=4|x|-3 (The function is reflected in the y-axis).

4. That is how you obtain the final function. f(x) = 4|x|-\frac{3}{4}

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The Country Buffet restaurant has tables that seat 6 people and booths that can seat 4 people. The restaurant has 38 seating uni
Alina [70]

Answer:

There are 20 booths and (38 - 20), or 18, tables

Step-by-step explanation:

Represent the number of tables with t and the number of booths with b.

We need to find the values of t and b.

(6 people/table)(t) + (4 people/booth)b = 188           (units are "people")

t + b = 38                                                                      (units are "seating units")

Solving the second equation for t, we get 38 - b = t.

Substitute 38 - b for t in the first equation:

(6 people/table)(38 - b) + (4 people/booth)b = 188

Then solve for b:   6(38) - 6b + 4b = 188, or:

228 - 2b = 188, or 2b = 228 - 188, or 2b = 40.  Thus, b = 20   (booths)

There are 20 booths and (38 - 20), or 18, tables.

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3 years ago
What is 150,000,000 in scientific notion, PLEASE answer asap im so far behind!!
dybincka [34]

To write a number in scientific notation, you need to write the number as a product of a number from 1 to under 10 multiplied by a integer power of 10.

First, what number from 1 to under 10 can you get out of the digits of 150,000,000 just by changing the decimal point? The answer is 1.5 since 1.5 is greater than or equal to 1 and less than 10.

150,000,000 = 1.5 * 100,000,000

Now we change 100,000,000 into a power of 10. A 1 followed by a number of zeros is the same as 10 to the power equal to the number of zeros. In 100,000,000 the 1 is followed by 8 zeros, so 100,000,000 = 10^8.

150,000,000 = 1.5 * 10^8

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I would help but I cannot read it.

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