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3 years ago

Graph the inequality 4x+5y>20

1 answer:

7 0

$y\ \textgreater \ - \frac{4x}{5}+4$ is the answer I can also give you the graph to if you need it, but that's how you would graph it. : ) Let me know if you need the graph

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Find the product of 487.9573 and 1,000.

maria [59]

487.9573 * 1000 = 487947.30

As you can see, the first number has a decimal point, and the second number is 1000. You can drop the 0s in the 1000 leaving 1 to multiply with the first number. Simply move the decimal point to the right based on the number of 0s there are on the second number.

Since, 1000 has three 0s. Move the decimal point 3 times to the right of the number. So, from 487.9573 to 487957.3

If the function is division but the numbers are the same, you must move the decimal point to the left.

6 0

3 years ago

Will mark brainliest <br> thank you!

Mashcka [7]

Answer:

the answer is D 23/27 cars

Step-by-step explanation:

4 0

2 years ago

The temperature in Fargo North Dakota was 6°F at noon. By 4 PM the temperature dropped to -10°F. What integer represents the cha

tiny-mole [99]

The change expressed as an integer is -16.

5 0

2 years ago

24% of students in a class are girls. If there are less than 30 students in this class, how many students are there? How many gi

castortr0y [4]

Answer:

Step-by-step explanation:

The GCF (greatest common factor) of 24 and 30 is 6.

30-30/6=25

25 students in the class

24% of 25 is 6

6 girls in the class

5 0

2 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