Prove that (x^5)-(x^2)+2x +3=0 has at least one real root.Prove that x=cosx has at least one solution.

Answers

Answer 1

Answer: The first one is of order 5, so it has either 1, 3 or 5 real roots (unless any coefficent was complex). Proof complete :)
The other one, if it has a solution, it must be in [-1;1]. Because it only gives positive results the solution is further restricted to [0;1]. Because the cosine function is continuous and strictly decreasing on this interval, the difference of x and it's cosine will shrink up to some point within the interval where it gets to 0 (the solution) and then flips sign (the cosine gets less than the number), further decreasing until the end of the interval.

Answer 2

Answer:

Answer:

ok no cap

Step-by-step explanation:

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Please help with the picture puzzle

Answers

Final answer:

To solve picture puzzles, study the picture, identify patterns, and think creatively.

Explanation:

The subject of your question is puzzles. Unfortunately, without the actual picture puzzle, it is difficult to provide specific guidance. However, I can offer some general tips to help you solve picture puzzles:

Study the picture: Look closely at all the elements in the picture. Pay attention to colors, shapes, patterns, and any hidden details.
Identify patterns: Try to identify any repeating patterns or similarities among the objects in the picture. This could be in terms of shape, color, or arrangement.
Think outside the box: Don't stick to the obvious interpretations. Sometimes, picture puzzles require you to think creatively or consider multiple perspectives.

Remember, practice makes perfect! The more picture puzzles you solve, the better you'll become at deciphering them.

Learn more about Picture Puzzles here:

brainly.com/question/32044923

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Which equation represents the line whose slope is 2 and whose y-intercept is 6

Answers

The basic format for questions like these are y=mx+b where m stands for the slope and the b stands for the y-intercept, and x and y stand for the coordinates of the equation. So if you fill it in, it would be y=2x+6.

slope of 2 means that the the x part is 2x

So when x is 0 y must equal 6

so the equation is y = 2x + 6

Which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?

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This is an example of the difference of squares.

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

So to find the product of (9y² – 4x)(9y² + 4x), we use the formula for the difference of squares.

$(9y^2 - 4x)(9y^2 + 4x)\n\n=(9y^2)^2 -(4x)^2\n\n=\boxed{\bf{81y^4 - 16x^2}}$

Simplify

64 + 4(3 5 - 14 ÷ 2) + 7.

O 240
O 135
O 15
O 9

Answers

Answer:

Did you type that write because I got 183

Can someone plz help me asap!

Answers

Answer:

The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145

Step-by-step explanation:

Let the angle adjacent to ∠27° be x .

$∠x + 27 = 180° \: ( \: linear \: pair \: )$