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3 years ago

3x-1/5=x+1/3 what is x

Mathematics

1 answer:

AfilCa [17]3 years ago

5 0

Answer:

Exact form:4/15

decimal form: 0.26(6 is repeating)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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How does the graph of f(x) =-3^2x-4 differ from the graph of g(x)=-3^2x

Neko [114]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
~~~~y={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)={{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\\\
f(x)={{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\\\
f(x)={{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\\\\
--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
~~~~~~\textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
~~~~~~if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
~~~~~~if\ {{ D}}\textit{ is negative, downwards}\\\\
~~~~~~if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's check,

$\bf f(x)=-3^{\stackrel{B}{2}x\stackrel{C}{-4}}\qquad \qquad g(x)=-3^{2x}\implies g(x)=-3^{\stackrel{B}{2}x\stackrel{C}{+0}}$

notice, g(x) has a horizontal shift of C/B or +0/2, or just 0, none.

while f(x) has a horizontal shift of C/B or -4/2, or -2, to the right.

so f(x) is really just g(x), but shifted horizontally over 2 units to the right.

3 0

3 years ago

I need help with these plzzz

german

Answer:

1. C 2. B

Step-by-step explanation:

1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section

2. The actual value of x is 33.2

So I plugged in that value for all of them

4 0

3 years ago

Read 2 more answers

Find the probability that in a family of 6 children there will be at least 2 boys

artcher [175]

Answer:

25%

Step-by-step explanation:

Assuming that each child can only be a boy or a girl, then each child will have a probability of 0.5 or 50% of being either gender. Therefore, since we need to find the probability of at least 2 being boys then we simply need to multiply this probability twice.

0.50 * 0.50 = 0.25 or 25%

Using this data we can say that there is a 25% probability of there being at least 2 boys in the family.

8 0

3 years ago

Kiara and Mia went to a county fair. They each paid the same admission fee but they were in a different number of rides. Each ri

aliya0001 [1]

let's take admission fee= z

8z+11z=17.50+21.25

19z=38.75

z=38.25/19

z=2.4 (aprox)

Or In case of Kiara 17.50 amount paid in 8 rides

.so 1 ride=17.50/8

=2.1875

same In case of mia

so 1 ride=21.25/11

=1.9318.

but, they are not match so there is problem in your Questions.

6 0

3 years ago

A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat

djverab [1.8K]

Answer:

The function f(x) = 9,000(0.95)^x represents the situation.
After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
The range values, in the context of the situation, are limited to whole number

Step-by-step explanation:

The "growth" rate is -5%, so the growth factor, the base in the exponential equation, is 1.00-5% =0.95.

Using x=2, we find the population in 2 years is expected to be about ...

f(2) = 9000·0.95^2 ≈ 8123 . . . . about 8120

Using x=4, we find the population in 4 years is expected to be about ...

f(4) = 9000·0.95^4 ≈ 7331 . . . . about 7330

Since population is whole numbers of bees, the range of the function is limited to whole numbers.

The domain of the function is numbers of years. Years can be divided into fractions as small as you want, so the domain is not limited to whole numbers.

The choices listed above are applicable to the situation described.

7 0

3 years ago