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igomit [66]
3 years ago
11

If g(x)=−3x+9 g ( x ) = − 3 x + 9 and f(x)=2x+7 f ( x ) = 2 x + 7 , what is the value of g(f(x)) g ( f ( x ) ) ?

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0
G(f(x)) = g(2x +7) = -3(2x +7) +9 = -6x -21 +9

g(f(x)) = -6x -12
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2.32x10 to the fifth power
laiz [17]
2.32 x 10⁵ = 232000

This can be solved by multiplying 2.32 to the product of 10 multiplied 5 times.

10⁵ = 10 * 10 * 10 * 10 *10
10⁵ = 100,000

2.32 x 100000 = 232000

The given equation is the standard form of a decimal number. It is used to write down a very large or very small number easily.

There are a lot of standard forms. Like: Standard form of an equation and Standard form of a polynomial.


3 0
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A.
Varvara68 [4.7K]

Answer:

Angela, a proportion is two equal ratios, kinda like 3/4 = 6/8.

 

If we call the number of cars c, then our proportion is 3/10 = c/100.

 

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Dividing both sides by 10, c = 30.

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3 years ago
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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:

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Therefore, our first term is 3.

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

Second term: -5x^2

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Applying the same logic from our first term:

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Third term: 2x

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-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!

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masya89 [10]

Answer:

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Step-by-step explanation:

y = sin 2 (x – π∕2)

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x = π

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