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2 years ago

What is the solution to the system of equations graphed below?

2 answers:

8 0

Crazy boy [7]2 years ago

4 0

Answer:

Option A. (-2, 3)

Step-by-step explanation:

The given equations graphed are Y = 4x + 11 and Y = -2x - 1

Now for the solution to the system of equations graphed Y values will be the same or a point where these lines intersect will be the solution.

Y = 4x + 11 = -2x - 1

4x + 2x = -1 - 11

6x = -12

x = -2

Now by putting x = -2 in the first equation.

Y = 4.(-2) + 11 = -8 + 11 = 3

The common point will be (-2, 3)

Therefore option A. (-2, 3) will be the answer.

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2 years ago

The number of bacteria in a certain culture doubled every hour. If there were 30 bacteria present in the culture initially, how

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Answer:

The number of bacteria after $8th$ will be $3840$

Step-by-step explanation:

Given the initially 30 bacteria present in the culture.

Also, the number of bacteria got doubled every hour.

So, using the equation

$A=A_0r^{n-1}$

Where $A$ is number of bacteria after $n$ hours.

$A_0$ is bacteria present initially.

$r$ is the common ration, in our problem it is given that bacteria doubles every hour. So, $r=2$

And $n$ is the number of hours. In our problem we need amount of bacteria at the end of $8th$ hours. So, $n=8$

Plugging values in the formula we get,

$A=30(2)^{8-1}\\A=30\times 2^7\\A=30\times 128\\A=3840$

So, number of bacteria after $8th$ will be $3840$

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Description Equation

Derivative of a Constant Derivative of a Constant

Derivative of a Variable to the First Power Derivative of a Variable to the First Power

Derivative of a Variable to the nth Power Derivative of a Variable to the nth Power

Derivative of an Exponential Derivative of an Exponential

Derivative of an Arbitrary Base Exponential Derivative of an Arbitrary Base Exponential

Derivative of a Natural Logarithm Derivative of a Natural Logarithm

Derivative of Sine Derivative of Sine

Derivative of Cosine Derivative of Cosine

Derivative of Tangent Derivative of Tangent

Derivative of Cotangent Derivative of Cotangent

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2 years ago