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3 years ago

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What is the value of begin expression . . . 81 times x raised to the second power, times y raised to the third power, plus z . .

. end exression, if x equals 3, y equals 4, and z equals 19? A 2,854 B 5,851 C 46,656 D 46,675

1 answer:

Ilia_Sergeevich [38]3 years ago

5 0

((81x² • y³) + z)

1. (81 • 3)² = 59,049
2. (4)³ = 64
3. ((59,049 • 64) + 19) = 3,779,155

... are you sure those were the only answers to be chosen from? and that you typed them in correctly? because if so they don't seem to make any sense unless, I input something incorrectly.

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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

Jordan mixed together 9 gal. of Brand A fruit drink and 8 gal. of Brand B fruit drink which contains 48% fruit juice. Find the j

Pie

Answer:

Step-by-step explanation:

You do this by figuring out the amounts of pure fruit juice in all.

Explanation:

Mixture:

17 gal 30% contains:

17

⋅

30

100

=

5.10

gal pure juice

From Brand B:

8 gal 48% contains:

8

⋅

48

100

=

3.84

gal pure juice

So

5.10

−

3.84

=

1.26

gal came from 9 gal of brand A

So the percentage of A is:

1.26

9

⋅

100

=

14

%

pure juice.

Mark brainliest if this answer is correct please

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3 years ago

Angie goes to a fair that charges $8 admission and $0.75 per ride.

faltersainse [42]

0.75 x 5 because she has already rode 1 and then subtract it from 8.00$ and that should give you the answer

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3 years ago

A triangular courtyard has a perimeter of 120 meters. The lengths of two sides are 30 meters and 50 meters. How long is the thir

Masja [62]

Answer:

the third side is 40 m long

Step-by-step explanation:

The perimeter of the triangle is the sum of its three sides, and they give you what that value in meters is (120 m)

Your are given the length of two of them: 30 m and 50 m, and need to find the third one (let's call it "x" for this unknown side)

Now set the following equation:

Perimeter = side 1 + side 2 + side 3 --> replace these with the info you know

120 m = 30 m + 50 m + x --> add 30 m and 50 m obtaining 80 m

120 m = 80 m + x --> now solve for x (isolate the x on one side) by subtracting 80 m from both sides

120 m - 80 m = x --> perform the subtraction 120 m - 80 m = 40 m

40 m = x

Which tells us that the third unknown side has a length of 40 m

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3 years ago

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How may ways can a committie of 5 selected from a club with 14 members

nikklg [1K]

Answer:

Step-by-step explanation:

14x5

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2 years ago