How do you solve dy/dx=(y−1)(y+1) if the solution passes through the point (x,y)=(4,0)(x,y)=(4,0)?

Which of the following is a step in simplifying the expression x multiplied by y to the power of 4 over x to the power of negati

vodomira [7]

Answer:

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

Step-by-step explanation:

Given:

$(\frac{xy^4}{x^{-5}y^5} )^{-3}$

We need to simplify the equation.

As while solving these kind of problems, keep in mind the following Law on Indices:

1. $(a^m)^n=a^{mn}$

Applying the same we get;

$\frac{x^{-3}(y^4)^{-3}}{(x^{-5})^{-3}(y^5)^{-3}}\\\\\frac{x^{-3}y^{4\times-3}}{x^{-5\times-3}y^{5\times-3}} \\\\\frac{x^{-3}y^{-12}}{x^{15}y^{-15}}$

Final Answer:

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

4 0

2 years ago

you are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.

ira [324]

It is given in the question that

You are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.

Let the price of scanner be $ x .

So we have

$x+ 80\leq 150$

Subtracting 80 from both sides

$x\leq 70$

It means , the price should be not more then $70 .

Therefore in case, the price of scanner is $75, then you will not remain within your budget .

6 0

2 years ago

Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB, CD = √3 Find: AC

valina [46]

Answer:

$\boxed{AC = 2.3}$

Step-by-step explanation:

AD = BD (CD bisects AB means that it divides the line into two equal parts)

So,

AD = BD = AB/2

So,

AD = 3/2

AD = 1.5

<u><em>Now, Finding AC using Pythagorean Theorem:</em></u>

$c^2 = a^2+b^2$

Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)

$AC^2= (1.5)^2+(\sqrt{3} )^2$

$AC^2 = 2.25 + 3$

$AC^2 = 5.25$

Taking sqrt on both sides

$AC = 2.3$

3 0

2 years ago

Read 2 more answers

If f(x)=x2+10sinx, show that there is a number c such that f(c)=1000.

gayaneshka [121]

F(x) is continuous for all x.

Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.

At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.

Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0

Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40

7 0

2 years ago

Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 m

VLD [36.1K]

<h2>Answer:</h2>

The average speed of car is:

0.75 miles per minutes.

The equation of line is:

$n=\dfrac{3}{4}t$