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Sveta_85 [38]
3 years ago
15

An item costs x dollars and then a 20% discount is applied. Select all the expressions that could represent the price of the ite

m after the discount.
a. 20/100x
b. x-20/100x
c. (1-0.20)x
d. 100-20/100x
e. 0.80x
f. (100-20)x
Mathematics
1 answer:
ankoles [38]3 years ago
8 0

Answer:

E, C, B

Step-by-step explanation:

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Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"
Levart [38]

Answer:

\huge\boxed{f(-1) = -7}

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

  • 3(-1)^4 = 3

<u><em>WAIT</em></u><em>!</em><em> How is this possible? </em>-1^4 = -1 (according to my calculator), and 3 \cdot -1 = -3, not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use -2^2 as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than  being <em>"-2 squared"</em> - it's <em>"the negative of of 2 squared."</em>

Tying this back into our problem, the squared method would only be true if it looks like -1^4. However, since we're substituting in -1, it looks like (-1)^4, so the expression reads out as "<u><em>-1 to the fourth.</em></u>"

MULTIPLYING -1 by itself 4 times results in -1\cdot-1\cdot-1\cdot-1=1.

Applying this logic to our original term, 3(-1)^4:

  • 3(-1\cdot-1\cdot-1\cdot-1)
  • 3(1)
  • 3

Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term: -5x^2

  • -5(-1)^2

Applying the same logic from our first term:

  • -5(-1 \cdot -1)
  • -5(1)
  • -5

Third term: 2x

  • 2(-1) = -2

-3 is just -3, no influence of x.

Combining our terms, we have 3-5-2-3.

This comes out to be -7, hence, the value of f(-1) for our function f(x)=3x^4-5x^2+2x-3 is <u>-7</u>.

Hope this helped!

4 0
3 years ago
Read 2 more answers
What fraction is bigger 1/4 or 16 1/3
Evgen [1.6K]
16 1/3 is bigger than 1/4
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3 years ago
On a test, you earn 92% of the possible points by correctly answering 6 five-point questions and 8 two-point questions. How many
Digiron [165]

6*5=30

8*2=16

30+16=46

The test was worth 46 total points

6 0
3 years ago
Dave has 15$ to spend on an 8$ book and two birthday cards (cl for his friends. how much can he spend on each card if he buys th
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X=15

(X-8)/2

Does that work?
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3 years ago
Please help
Tamiku [17]
Add 6 7 and two you get 15 xy subtract -11 and -4 you get  positive 7xy add 15 and 7 and you get 22xy
8 0
2 years ago
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