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3 years ago

What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?

Mathematics

1 answer:

insens350 [35]3 years ago

5 0

Answer:

Multiply both sides by $\frac{5}{2}$

Step-by-step explanation:

Given

$\frac{2}{5}x = 10$

Required

Get an equivalent of $x = 25$

To do this, we simply multiply through by $\frac{5}{2}$

$\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}$

$\frac{5*2}{2*5} x = 10 * \frac{5}{2}$

$\frac{10}{10} x = 10 * \frac{5}{2}$

$\frac{1}{1} x = 10 * \frac{5}{2}$

$x = 10 * \frac{5}{2}$

$x =\frac{10*5}{2}$

$x =\frac{50}{2}$

$x = 25$

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The sum of what integer and 181 is equal to -236?

slavikrds [6]

Answer:

Step-by-step explanation:

n - integer

The sum of n and 181 is equal to -236:

n + 181 = -236 <em>subtract 181 from both sides</em>

n + 181 - 181 = -236 - 181

n = -417

6 0

3 years ago

Use f’( x ) = lim With h ---> 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²

beks73 [17]

<h2>Answer:</h2>

The derivative of the function f(x) is:

$f'(x)=-2x$

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

$f(x)=5-x^2$

We have:

$f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)$

( Since,

$(a+b)^2=a^2+b^2+2ab$ )

Hence, we get:

$f(x+h)=5-x^2-h^2-2xh$

Also, by using the definition of f'(x) i.e.

$f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}$

Hence, on putting the value in the formula:

$f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x$