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3 years ago

Let f(x) = 3x + 5 and g(x) = x2.

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

4 0

Answer:

f(x^2)=3x^2+5

Step-by-step explanation:

math

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What is C/a + 4 when a=2, and c= 10

tigry1 [53]

Answer:

4 and 10/2 so actually 9

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the 6th term of the geometric sequence where a1 = -4096 and a4 = 64?

Akimi4 [234]

$\bf \begin{array}{llccll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_1&-4096\\
a_2&-4096r\\
a_3&-4096rr\\
a_4&-4096rrr\\
&-4096r^3\\
&64
\end{array}\implies -4096r^3=64
\\\\\\
r^3=\cfrac{64}{-4096}\implies r^3=-\cfrac{1}{64}\implies r=\sqrt[3]{-\cfrac{1}{64}}
\\\\\\
r=\cfrac{\sqrt[3]{-1}}{\sqrt[3]{64}}\implies \boxed{r=\cfrac{-1}{4}}\\\\
-------------------------------$

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-\frac{1}{4}\\
a_1=-4096\\
n=6
\end{cases}
\\\\\\
a_6=-4096\left( -\frac{1}{4} \right)^{6-1}\implies a_6=-4^6\left( -\frac{1}{4} \right)^5$

4 0

3 years ago

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MY TEACHER IS BEING ANNOYING HELP ME PLS

cluponka [151]

Answer:

Step-by-step explanation:

I got 8 in a short version. The full answer is not complete. It is 8.18812697...

But if you shorten it, 8 is the best estimation.

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3 years ago

1 What is the value of x in the equation 8x - 5(x - 1) = 20?

fiasKO [112]

Answer:

x = 5

Step-by-step explanation:

1. Expand

8x - 5x + 5 = 20

2. Simplify

3x + 5 = 20

3. Subtract 5 from both sides

3x = 20 - 5

4. Simplify

3x = 15

5. Divide both sides by 3

x = 15/3

6. Simplify

x = 5

8 0

3 years ago

Convert 6 2/3 cups to pints. Express your answer in simplest form.

Dmitry_Shevchenko [17]

First off, let's convert the mixed fraction to "improper", keeping in mind that, there are 2 cups in 1 pint.

$\bf \stackrel{mixed}{6\frac{2}{3}}\implies \cfrac{6\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{20}{3}}
\\\\\\
\begin{array}{ccll}
cups&pints\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&1\\\\
\frac{20}{3}&p
\end{array}\implies \cfrac{\quad 2\quad }{\frac{20}{3}}=\cfrac{1}{p}\implies \cfrac{\quad \frac{2}{1}\quad }{\frac{20}{3}}=\cfrac{1}{p}$

$\bf \cfrac{2}{1}\cdot \cfrac{3}{20}=\cfrac{1}{p}\implies \cfrac{3}{10}=\cfrac{1}{p}\implies p=\cfrac{10\cdot 1}{3}\implies p=\cfrac{10}{3}\implies p=3\frac{1}{3}$

5 0

3 years ago