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3 years ago

What is 163,653÷200 ?

Mathematics

1 answer:

Vikentia [17]3 years ago

6 0

Answer:

818.265

Step-by-step explanation:

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Solve the system of equations using substitution -3x + 2y = 12 x = 2y - 8

SCORPION-xisa [38]

Answer:

(-2, 3)

Step-by-step explanation:

Given the system of equations:

-3x + 2y = 12

x = 2y - 8

You can 'substitute' the expression '2y - 8' for the value of 'x' in the first equation and solve for 'y':

-3(2y - 8) + 2y = 12

Distribute: -6y + 24 + 2y = 12

Combine like terms: -4y + 24 = 12

Subtract 24 from both sides: -4y + 24 - 24 = 12 - 24 or -4y = -12

Divide both sides by -4: -4y/-4 = -12/-4 or y = 3

Use y = 3 to solve for 'x':

x = 2(3) - 8 or 6 - 8

x = -2

(-2, 3)

5 0

3 years ago

Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

$g(x) =e^{x^3}$

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$

using the equation of line:

$(y-y_1)=m(x-x_1)$

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

$(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\$

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

3 0

3 years ago

Solve 6^x+2 = 10 for x using the change of base formula

pashok25 [27]

Answer:

$x\approx-0.7149$

Step-by-step explanation:

$\displaystyle 6^{x+2}=10\\\\\log_6(6^{x+2})=\log_6(10)\\\\x+2=\frac{\log(10)}{\log(6)}\\\\x+2\approx1.2851\\\\x\approx-0.7149$

Recall that the change of base formula is $\displaystyle \log_a(b)=\frac{\log(b)}{\log(a)}$

3 0

2 years ago

3abc<br> What is the coeficient of c?

romanna [79]

Answer:

Step-by-step explanation:

3 is the coefficient of c as it is a constant, whereas a and b are variables, subject to change.

4 0

2 years ago

WILL MARK BRAINLEST ! HELP! THANK YOU!

Bond [772]

Answer:

By definition of congruence

Step-by-step explanation:

Triangle ABC is congruent to triangle DBE

7 0

3 years ago

What is 163,653÷200 ?​

What is 163,653÷200 ?