2 years ago

F(x)=x^2. What is g(x)

Mathematics

1 answer:

Basile [38]2 years ago

6 0

I don’t know I just need points

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Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....

Nuetrik [128]

Answer:

Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

Step-by-step explanation:

Considering the sequence

$-5,\:-25,\:-125,\:-625,...$

A geometric sequence has a constant ratio r and is defined by

$g_n=g_0\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}$

$\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=5$

So, the sequence is geometric.

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$g_1=-5$

$r=5$

$g_n=g_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$g_n=-5\cdot \:5^{n-1}$

Therefore, Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

8 0

2 years ago

Put these fractions in order of size, smallest to largest. 7/10 2/3 4/5 11/15

Alla [95]

Answer:

11/15 7/10 4/5 2/3

Step-by-step explanation:

the bigger the fraction the smaller the number

4 0

2 years ago

An equation ___ has one solution A. Always B. Sometimes C. Never

Doss [256]

im am pretty sure it is b.sometimes because an equation can have more then one answer

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2 years ago

You can spend at most $60 on beads. A bag containing red beads costs $2 per bag. A bag containing blue beads costs $3 per bag. Y

nexus9112 [7]

For this case, the first thing we must do is define variables.
We have then:
x: number of blue beads
y: number of red beads
We now write the inequations system:
$3x + 2y \leq 60

x\ \textgreater \ y$
Answer:
a system of linear inequations that represents the situation is:
$3x + 2y \leq 60 x\ \textgreater \ y$

8 0

2 years ago

Read 2 more answers

Liz and Alana each participate in the home that jump at the track meet Liz’s high jump was 1 meter Alana’s high jump was 132 cen

brilliants [131]

1 meter is 100 centimeters, therefore Alana jumped higher by 32 centimeters.
132-100=32

7 0

2 years ago