2 years ago

How many solutions does the system have? 3x + y = 8 2x + 2y = 8

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

3 0

Answer:

There is one solution

Step-by-step explanation:

I did the Khan Academy lesson and I got it correct.

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3 years ago

According to the Americans with Disabilities Act, a ramp can rise no more than 1 ft for every 12 ft of horizontal distance. What

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Answer:

A. 4.8°

Step-by-step explanation:

We have that,

The horizontal distance for the ramp = 12 feet.

Maximum height of the ramp = 1 feet.

So, we get that the value of the angle 'x' made by the ramp with the ground is given by,

$\tan x=\frac{perpendicular}{base}$

i.e. $\tan x=\frac{1}{12}$

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3 years ago

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3 years ago

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2 years ago

Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> 2 In x + In(x - 2) = 0

Pani-rosa [81]

Answer:

The value of x is about 2.206.

Step-by-step explanation:

Consider the given equation is

$2\ln x+\ln (x-2)=0$

We need to find the value of x.

Using the properties of logarithm we get

$\ln x^2+\ln (x-2)=0$ $[\because \ln a^b=b\ln a]$

$\ln (x^2(x-2))=0$ $[\because \ln (ab)=\ln a+\ln b]$

$\ln (x^2(x-2))=ln 1$ $[\because \ln 1=0]$

On comparing both sides we get

$x^2(x-2)=1$

$x^3-2x^2=1$

Using graphing calculator, the real solution of the above equation is

$x\approx 2.206$

Therefore, the value of x is about 2.206.

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3 years ago