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3 years ago

What is 862-419 estimated to

Mathematics

2 answers:

VladimirAG [237]3 years ago

8 0

Answer: 443

Step-by-step explanation:

Afina-wow [57]3 years ago

6 0

Estimated to 440 but, the correct answer is 443

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What is the equation in point-slope from for the line that passes through the points (-3,5) and (2,-3)?

Aleks [24]

Answer:

$y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]$

Step-by-step explanation:

First, find the rate of change [slope]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{-5 - 3}{3 + 2} = -\frac{8}{5} = -1\frac{3}{5}$

Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

$y - y_1 = m[x - x_1]$

$y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]$

I am joyous to assist you anytime.

8 0

3 years ago

What is f(-5) if f(x) equals |2x-1|+10?

xxTIMURxx [149]

|2(-5) - 1| + 10
|-10-1| + 10
|-11| + 10
11 + 10
21 is your answer

Hope this helped!

8 0

3 years ago

Read 2 more answers

Please help out explanation need it

inna [77]

Step-by-step explanation:

Area is 12*5=60

Height is 4

Perimeter is 2*17=34

Surface area=120+136=256

5 0

3 years ago

Which equation represents this function?

klio [65]

It is c
i hope this helps

7 0

4 years ago

Is the graph of y = sin(x^4) increasing or decreasing when x = 10? Is it concave up or concave down?

Tanzania [10]

$y=\sin(x^4)$
$\implies y'=4x^3\cos(x^4)$
$\implies y'=12x^2\cos(x^4)-16x^6\sin(x^4)$

At $x=10$ , you have

$y'(10)=4000\cos(10^4)$

The trick to finding out the sign of this is to figure out between which multiples of $\dfrac\pi2$ the value of $10^4$ lies.

We know that $\cos x>0$ whenever $-\dfrac\pi2+2n\pi$ , and that $\cos x$ whenever $\dfrac\pi2+2n\pi$ , where $n\in\mathbb Z$ .

We have

$10^4=\dfrac{k\pi}2\implies k=\dfrac{2\times10^4}\pi\approx6366.2$

which is to say that $\dfrac{6366\pi}2$ , an interval that is equivalent modulo $2\pi$ to the interval $\left(\pi,\dfrac{3\pi}2\right)$ .

So what we know is that $10^4$ corresponds to the measure of an angle that lies in the third quadrant, where both cosine and sine are negative.

This means $y'(10)$ , so $y$ is decreasing when $x=10$ .

Now, the second derivative has the value

$y'=12\times10^2\cos(10^4)-16\times10^6\sin(10^4)$

Both $\cos(10^4)$ and $\sin(10^4)$ are negative, so we're essentially computing the sum of a negative number and a positive number. Given that $\sin x>\cos x$ for $\pi$ , and $\cos x>\sin x$ for $\dfrac{5\pi}4$ , we can use a similar argument to establish in which half of the third quadrant the angle $10^4$ lies. You'll find that the sine term is much larger, so that the second derivative is positive, which means $y$ is concave up when $x=10$ .

5 0

3 years ago