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wlad13 [49]
3 years ago
12

The function ​f(x)​ is the total amount spent at a store, when purchasing x items that are $5 each and the items are not taxable

.
What is the practical domain for the function f(x)?




A. all positive integers that are multiples of 5

B. all whole numbers

C. all positive integers

D. all real numbers

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
4 0

Answer:

B

Step-by-step explanation:

The domain is all possible values of x.  Here, x is the number of $5 nontaxable items.  So x must be an integer, and it can't be negative.  It is possible for x to be 0.  So x is all whole numbers.

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Use the rule for order of operations to simplify the expression as much as possible.
ratelena [41]

Answer:

The answer to your question is 3

Step-by-step explanation:

Expression

                        3⁴ + 9² / 3³ - 9²

1.- Do the division

                        3⁴ + (9² / 3³) - 9²

Use law of exponents

                        3⁴ + (3⁴ / 3³) - 9²

                        3⁴ + 3⁴⁻³ - 9²

Simplify

                        3⁴ + 3 - 9²

2.- Convert 9² to base 3

                        3⁴ + 3 - 3⁴

3.- Simplify (associative property)

                        ( 3⁴ - 3⁴ ) + 3

4.- Result

                              3

                       

                       

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3 years ago
-8(-5b + 7) + 56<br> Can someone please help me with this problem
Sergio039 [100]

Answer:

40b

Step-by-step explanation:

40b-56+56

40b

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Determine the value of the variable in the product of powers.
aleksandrvk [35]

Answer:

  • <u><em>1. x = - 3</em></u>
  • <u><em>2. y = -9</em></u>
  • <u><em>3. n = 0</em></u>

<u><em></em></u>

Explanation:

The expressions are garbled. The correct expressions to determine the product of powers are:

1. What is the value of x in the product of powers  5^5\cdot 5^x=5^2 ?

  • x =

2. What is the value of y in the product of p^{-3}\cdot p^{-6}=p^y ?

  • y =

3. What is the value of n in th product of  9^2\cdot 9^{-7}\cdot 9^n=9^{-5} ?

  • n =

<h2>Solutions</h2>

<u />

<u>1. What is the value of x in the product of powers </u>5^5\cdot 5^x=5^2<u> ?</u>

Apply the rule of the <em>product of powers with the same base</em> to the left side of the equality.

The product of two powers with the same base is the base raised to the sum of the exponent:

       5^5\cdot5^x=5^{(5+x)}

Now the power on the left side has the same base as the power on the right side, so the exponents are the same:

  • 5 + x = 2
  • x = 2 - 5
  • x = - 3

<u />

<u>2. What is the value of y in the product of </u>p^{-3}\cdot p^{-6}=p^y<u> ?</u>

Again, the product of the two powers on the left side is equal to the common base raised to the sum of the exponents:

On the left side, you get:

         p^{-3}\cdot p^{-6}=p^{(-3-6)}=p^{-9}

Then,

          p^{-9}=p^y\\\\-9=y\\\\y=-9

3. What is the value of n in th product of  9^2\cdot 9^{-7}\cdot 9^n=9^{-5} ?

Same rule:

Left side:

         

       9^2\cdot 9^{-7}\cdot 9^n=9^{(2-7+n)}=9^{(-5+n)}

Left side equal to right side:

         9^{(-5+n)}=9^{-5}\\\\-5+n=-5\\\\n=-5+5\\\\n=0

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Arlecino [84]
Let's rearrange the equation x + y = 6 to slope-intercept form. Solve for y.

x + y = 6

To get the y variable on the left-hand side alone, subtract x from each side.

x + y - x = 6 - x
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Rearrange the right-hand side.

y = -x + 6

Now we have it in the slope-intercept form. And to find the slope, we look at the coefficient of x. But there is no coefficient of the -x term!

In all reality, there is. However, it's just 1. -1x is the same thing as -x. We don't show the 1 because it has no effect.

So, -1 is the slope.
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