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3 years ago

Solve for x in the equation X2 - 10x+ 25 = 35.

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

6 0

Answer:

x=5+√35

x=5-√35

i ngrenë ne fuqi me pas i zbresim numrat

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The air temperature at the beach is 97 degrees. The water temperature is 72 degrees. When you walk into the water, what is the p

Gnesinka [82]

The answer is simply all you do is subtract 72 from 97 and you'll have the answer which is 25, so the temperature decreased by 25 degrees

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4 years ago

The curve with the equation y=8x^2 + 2/x has one turning point.

anyanavicka [17]

Answer:

(1/2, 6).

Step-by-step explanation:

Turning points in a graph may exist whenever the derivative equals 0. Hence, let’s differentiate and then solve our function.

We have:

$\displaystyle y=8x^2+\frac{2}{x}$

Take the derivative of both sides with respect to x:

$\displaystyle y^\prime=16x-\frac{2}{x^2}$

Simplify:

$\displaystyle y^\prime=\frac{16x^3-2}{x^2}$

We will now set this equal to 0 and solve for x. Hence:

$\displaystyle \begin{aligned} 0&=\frac{16x^3-2}{x^2} \\ 0&=16x^3-2 \\ 2&=16x^3 \\ \frac{1}{8}&=x^3 \\ \frac{1}{2}&=x \end{aligned}$

Hence, the graph turns at x=1/2. This is the x-coordinate.

Then it follows that the y-coordinate will be:

$\displaystyle{\begin{aligned} y&=8(\frac{1}{2})^2+\frac{2}{\frac{1}{2}} \\ y&=8(1/4)+2(2) \\ y&=2+4 \\ y&=6\end{aligned}$

Hence, our coordinate Is (1/2, 6).

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3 years ago

If john spent 100 dollars more than peter, how much did both spend?

GREYUIT [131]

Not enough information???

3 0

3 years ago

If A and B are independent events and P(A)=0.25 and P(B)=0.333, what is the probability P(ANB)?

Pachacha [2.7K]

The probability P(ANB), that is, P(A ∩ B), given that A and B are independent events and P(A) = 0.25 and P(B) = 0.333 is 0.08325. Hence, option C is the right choice.

For any two events A and B, the probability of event A and B, that is, P(A ∩ B) is given as:-

When the events are dependent, P(A ∩ B) = P(A).P(B|A).
When the events are independent, P(A ∩ B) = P(A).P(B).

In the question, we asked the probability P(ANB), that is, P(A ∩ B), given that A and B are independent events and P(A) = 0.25 and P(B) = 0.333.

We know that when the events are independent, P(A ∩ B) = P(A).P(B).

Thus, P(A ∩ B) = (0.25)*(0.333),

or, P(A ∩ B) = 0.08325.

Thus, the probability P(ANB), that is, P(A ∩ B), given that A and B are independent events and P(A) = 0.25 and P(B) = 0.333 is 0.08325. Hence, option C is the right choice.

Learn more about the probability of independent events at

brainly.com/question/12783373

#SPJ4

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2 years ago

Write an equation of the line that passes through the given points and is perpendicular to the given line 2. (5,-8), y=5/2x +4

sp2606 [1]

If the line is perpendicular to y=5/2X+4, then the line will the the negative reciprocal of the line. The slope of the new line will be -2/5x. Now plugging in the points in the formula should result in the new line being -2/5x-6

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3 years ago