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wariber [46]
3 years ago
6

Value of f(-3) and g(3) and if f(x)= -6x+3 and g(x) =3x+21x-3

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Answer: f(-3)= -15; g(3)=69

Step-by-step explanation:

f(-3); f(-3)=6(-3)+3; f(-3)= -18+3;  -15; f(-3)= -15

g(3); g(3)=3(3)+21(3)-3; 9+63-3; g(3)=69

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5. f(x) = 3x³ - 4x² +6x and g(x)=5x ³+ 2x²- 3x. What is f(x) - g(x)?
sasho [114]

Answer:

<h2>A. -2x³ - 6x² + 9x</h2>

Step-by-step explanation:

f(x)=3x^3-4x^2+6x\\\\g(x)=5x^3+2x^2-3x\\\\f(x)-g(x)=(3x^3-4x^2+6x)-(5x^3+2x^2-3x)\\\\=3x^3-4x^2+6x-5x^3-2x^2-(-3x)\qquad\text{combine like terms}\\\\=(3x^3-5x^3)+(-4x^2-2x^2)+(6x+3x)\\\\=-2x^3-6x^2+9x

8 0
3 years ago
Math To Do in Ready
Svetllana [295]

Answer:

C=100.5 inches

Step-by-step explanation:

Circumference=2πr where r=16 inches

C=2(3.14)(16)

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3 0
3 years ago
How do you simplify expressions with rational exponents
Rainbow [258]

Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a)   (p^4)^{\dfrac{3}{2}}

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

(p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}

(p^{^ {\dfrac{12}{2}}})

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

(p^{^ {\dfrac{12}{2}}})

= (p^{ 6})

Let's take a look at another example

\Bigg (27x^{^\Big{6}} \Bigg) ^{{\dfrac{5}{3}}}

Here, we apply the \dfrac{5}{3} to both 27 and x^6

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{6}{1}\times {{\dfrac{5}{3}}} }\Bigg)

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{2}{1}\times {{\dfrac{5}{1}}} }\Bigg)

Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

∴

= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)

= \Bigg (3^{5} \times x^{10} }\Bigg)

= 249x^{10}

8 0
3 years ago
What is the vertical asymptote of this function?
liraira [26]

Answer:

D

Step-by-step explanation:

If y = log x is the basic function, let's see the transformation rule(s):

Then,

1. y = log (x-a) is the original shifted a units to the right.

2. y = log x + b is the original shifted b units up

Hence, from the equation, we can say that this graph is:

** 2 units shifted right (with respect to original), and

** 10 units shifted up (with respect to original)

<u><em>only, left or right shift affects vertical asymptotes.</em></u>

Since, the graph of y = log x has x = 0 as the vertical asymptote and the transformed graph is shifted 2 units right (to x = 2), x = 2 is the new vertical asymptote.

Answer choice D is right.

7 0
3 years ago
What is the answer to (6+4)tothe3power-1tothe8power
Ipatiy [6.2K]

Hey there!

\huge\boxed{(6 + 4)^3 - 1^8}

\huge\boxed{= 10^3 - 1^8}

\huge\boxed{10^3}

\huge\boxed{= 10\times10\times10}

\huge\boxed{= 100\times10 }

\huge\boxed{= 1,000}

\huge\boxed{1^{8}}

\huge\boxed{= 1\times1\times1 \times 1 \times 1 \times 1 \times 1 \times 1}

\huge\boxed{= 1 \times 1 \times 1 \times 1}

\huge\boxed{= 1\times1}

\huge\boxed{= 1}

\huge\boxed{1,000 - 1}

\huge\boxed{= 999}

\huge\text{Answer: \textsf{999}}

\huge\text{Good luck on your assignment \& enjoy your day!}

~\huge\boxed{\frak{Amphitrite1040:)}}

8 0
2 years ago
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