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2 years ago

Estimate the solution to the following system of equations by graphing.

Mathematics

1 answer:

notka56 [123]2 years ago

3 0

Answer:

(2.405, 1.537)

Step-by-step explanation:

When you graph these, they intersect at (2.405, 1.537).

You can use desmos as a graphing calculator, it is extremely helpful.

Hope this helps!

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Fully simplify using only positive exponents.

Assoli18 [71]

Answer:

$\frac{xy^{3}}{25}$

Step-by-step explanation:

Given

$\frac{5x^6y^6}{125x^5y^3}$

Required

Simplify the given expression

$\frac{5x^6y^6}{125x^5y^3}$

Start by applying law of indices

$\frac{5x^{6-5}y^{6-3}}{125}$

$\frac{5xy^{3}}{125}$

Divide numerator and denominator by 5

$\frac{xy^{3}}{25}$

Hence; the expression is equivalent to $\frac{xy^{3}}{25}$

6 0

3 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y 2 ( y 2 − 4 ) = x 2 ( x

yawa3891 [41]

Answer:

y = -2

Step-by-step explanation:

To find the equation of the tangent we apply implicit differentiation, and then we take apart dy/dx

The equation is

$y^2(y^2-4)=x^2(x^2-5)$

implicit differentiation give us

$\frac{d}{dx}[y^2(y^2-4)=x^2(x^2-5)]\\\\2y\frac{dy}{dx}(y^2-4)+y^2(2y\frac{dy}{dx})=2x(x^2-5)+x^2(2x)\\\\4y^3\frac{dy}{dx}-8y\frac{dy}{dx}=2x^3-10x+2x^3\\\\\frac{dy}{dx}=\frac{4x^3-10x}{4y^3-8y}$

But we know that

$m=\frac{dy}{dx}\\y=mx+b$

Hence, for the point (0,-2) and by replacing for dy/dx

$m=\frac{dy}{dx}_{(0,-2)}=\frac{4(0)+10(0)}{4(-2)^3-8(-2)}=0$

Hence m=0, that is, the tangent line to the point is a horizontal line that cross the y axis for y=-2. The equation is:

y=(0)x+b = -2

HOPE THIS HELPS!!

4 0

4 years ago

Which statement is false?

Zolol [24]

Some integers are irrational is false

5 0

3 years ago

Read 2 more answers

What do you notice about the slopes of opposite sides

svlad2 [7]

There are two positive slopes on the opposite side for E and F, while there are two negative slopes on the opposite sides for G and H.

6 0

3 years ago

You deposit 6000 in a account earning 7% interest compounded continuously how in the account after 15 years

Vlada [557]

Compounded continuously: A=P*e^(rt)
A=6000*e^(0.07*15)
use your calculator: A=17145.90

7 0

4 years ago