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Vika [28.1K]
3 years ago
12

ava picks a number greater than 3 tens 6 ones. the number is less than 52. it has more than 6 ones. what could the. number be?

Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0
Any where between 37 and 51
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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
Please give answers for #1, #2, #3, and #4 please help <br> ill mark brainliest.
Ira Lisetskai [31]

Answer:

Find y output

Step-by-step explanation:

Just took test

5 0
3 years ago
Please please help! I'm a plato user just trying to graduate.
Komok [63]
I believe your answer is C. But I’m not completely sure!
8 0
3 years ago
PLS HELP FOR BRAINLIST...
Ahat [919]
Answer is C ig I’m sowwy if I’m wrong
8 0
3 years ago
11 Pause
muminat

Answer:

Step-by-step explanation:

Given that:

Batting average = 0.25 after 160 times at bat;

Batting Average = Number of hits / number of times at bat

0.25 = number of hits / 160

Number of hits = 0.25 * 160 = 40

He want batting average to improve to 0.333 ; if he makes hit the next x times at bat ; number of hits is needed to improve batting average

Hence,

New average = number of hits / number of times at bat

0.333 = (number of hits + x) / (160 + x)

0.333 = (40 + x) / (160 + x)

6 0
3 years ago
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