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3 years ago

Solve for x. x + 1 = 2 Ox= 1/4 O x= 1/2 O x = -1/2 0 x = -1/4

Mathematics

1 answer:

Bogdan [553]3 years ago

7 0

Answer:

x=-1/2

Step-by-step explanation:

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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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A group of children share 11 3/7 vegetarian pizzas. Each child receives 10/14 of a pizza. How many children are in the group

7nadin3 [17]

8 children because
11 3/7 is equal to 83/14
If each child receives 10/14
83/10
= 8.3
There can't be .3 of a child so round it and you get 8!
Hope this helps!

5 0

3 years ago

What is the quotient?<br><br> <img src="https://tex.z-dn.net/?f=X-3%5Csqrt%7Bx%7D%204X%5E2%2B3X%2B2" id="TexFormula1" title="X-3

romanna [79]

You have to factor out the 3

7 0

3 years ago

Anyone know the answer??

Serggg [28]

Answer:

the second option

Step-by-step explanation:

in ax²+bx+c = 0:

$x = \frac{-b+-\sqrt{b^2-4ac} }{2a}$

subtract both sides by 6 to get to this form, as the right side will be left with 0

6x² + 8x - 6 = 0

here, the coefficient for x² (a) is 6, the coefficient for x (b) is 8, and the remaining number added on (c) is -6

plugging our numbers into the formula, we get

$x = \frac{-8+-\sqrt{(-8)^2-4(6)(-6)} }{2(6)}\\= \frac{-8+-\sqrt{64-(-144)} }{12} \\= \frac{-8+-\sqrt{208} }{12} \\ = \frac{-8+\sqrt{208} }{12} or \frac{-8-\sqrt{208} }{12}\\= 0.53518375848 or -1.86851709182\\= approximately -1.87, 0.54$

8 0

2 years ago

Write the coordinate of G'after G(1, 2) was reflected over the line y=x.

Vikentia [17]

Answer:

(-1,2)

Step-by-step explanation:

4 0

3 years ago

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