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3 years ago

Pls help me with 4 and 5 and explain how u did it

Mathematics

1 answer:

marta [7]3 years ago

5 0

In the same way, the x-axis is also the line "y = 0". Then, algebraically, an x-intercept is a point on the graph where y is zero, and. a y-intercept is a point on the graph where x is zero.
Honestly I didn't get it either but I hope this helped ^ ^

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Question 5: prove that it’s =0

mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that $\cos(\frac{2}{x})$ is a variable number between -1 and 1 (inclusive).

This means that $-1 \le \cos(\frac{2}{x}) \le 1$ .

$x^4 \ge 0$ for all value $x$ . So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

$-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

By squeeze theorem, if $-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

and $\lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L$ , then we can also conclude that $\im_{x \rightarrow} x^4\cos(\frac{2}{x})=L$ .

So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at $x=0$ .

$\lim_{x \rightarrow 0}x^4=0^4=0$

$\lim_{x \rightarrow 0}-x^4=-0^4=-0=0$ .

We can finally conclude that $\lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0$ by squeeze theorem.

Some people call this sandwich theorem.

6 0

3 years ago

Which ratios are equivalent to 10:16? Check all that apply. 30 to 48 25:35 StartFraction 40 Over 64 EndFraction 8:32 5 to 15

schepotkina [342]

Answer:

30 to 48, 40/64

Step-by-step explanation:

Which ratios are equivalent to 10:16, and they gave us 30 to 48, 25:35, 40/64, 8/32 and 5 to 15.

For 30 to 48, we can mulitply the 10:16 by 3 to give us 30:48, so it is equal.

For 25:35, we simplify it to 5:7, while 10:16 is 5:8, so they are not equal.

For 40/64, we can take 10:16 and multiply them by 4, getting the same number. Therefore, it is equal.

For 8/32, we can simplify it down to 1/4, while 10:16 simplifies down to 5:8, it is not equal.

Lastly, for 5 to 15, w can simplify that to 1/3, and get 5:8 for 10:16, so it won't be equal.

4 0

3 years ago

Read 2 more answers

If you cut away a triangle of area 59 cm² from a square, the remaining area will be 85 cm². Find the length of the side of the s

siniylev [52]

So the square was fine, then the triangle decided to go for a hike.

now, if the triangle when it took off, it took 59 cm², and the square was left all by its lonesome with only 85 cm², that means with the triangle in it, the square is then 59 + 85 cm², or 144 cm².

$\bf \textit{area of a square}\\\\
A=s^2\qquad 
\begin{cases}
s=\textit{length of a side}\\
---------\\
A=144
\end{cases}\implies 144=s^2
\\\\\\
\sqrt{144}=s
\implies 12=s$

3 0

3 years ago

Find the area of the four walls of a cubical room whose side measures 5m. Find the cost of white washing the room at the rate of

NikAS [45]

We know that one wall side is 5m.
To find the area of one wall, we do 5²=25m²
We know there is 4 walls. So we have to find total area of all four walls.
Which is 25×4=100m²
To find the total cost of white washing the room, we have to do:
100(total area)×23(cost per m²)=$2300
So the total cost of the area is $2300

7 0

3 years ago

What is the greatest common factor of 24, 40, and 56

Anna35 [415]

Factors of 24: 1; 2; 3; 4; 6; 8; 12; 24
Factors of 40: 1; 2; 4; 5; 8; 10; 20; 40
Factors of 56: 1; 2; 4; 7; 8; 14; 28; 56

GCF(24; 40; 56) = 8

3 0

3 years ago