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3 years ago

What is the solution to the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n ? (1 point)

Mathematics

1 answer:

xenn [34]3 years ago

6 0

Answer:

the answer is n=2

Step-by-step explanation:

so put the problem like this 3/5n - 4/5 = 1/5n

In order to get the answer u have to subtract 3/5n to both sides which makes the problem -4/5 = -2/5n and when u divide -4/5 by -2/5 it equals 2

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If f(x)=8-10x and g(x) =5x +4, what is the value of (fog)(-2)?

swat32

Answer:

Step-by-step explanation:

Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.

The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.

Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.

To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...

g(x) = 5x +4

g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math

Now that we know g(-2) = -6, we know this expression is ...

f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x

Then the value we're looking for is ...

(f∘g)(-2) = 68

8 0

1 year ago

Solve for x.<br> x= In e<br> x=

IgorLugansk [536]

Good morning ☕️

Answer:

x = 1

Step-by-step explanation:

<u><em>since the function ln is the inverse of the function exponential then :</em></u>

$ln(e )=lne^{1} = 1$

3 0

2 years ago

What is the meaning of a list

astraxan [27]

The meaning of a list is something you make when you want to remember words or organize word
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6 0

3 years ago

What is 1 2/3 multiplied by 4 1/2

horrorfan [7]

Change the mixed numbers into improper fractions:
5/3 X 9/2

Reduce - the 3 and 9 can be simplified
5/1 X 3/2

multiple numerators and denominators
15/2

Not sure how you need the answer - i would change it into a mixed number
7 1/2

3 0

3 years ago

Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

4 0

3 years ago