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3 years ago

Is the piecewise graph a function? check using the vertical line test.

Mathematics

1 answer:

Blababa [14]3 years ago

4 0

Answer:

General Formulas and Concepts:

Vertical Line Test

Step-by-step explanation:

When we apply the VLT, we see that when x = -2 and -1, that the VLT fails. Therefore, it is NOT a function.

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3 years ago

What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16

alisha [4.7K]

Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

2y - x = 16

Multiply the bottom part by 2.

2x + 4y = -16

4y - 2x = 32

Add the equations and the answers to the equations up, and they will equal each other.

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4 years ago

A 2000-gallon metal tank to store hazardous materials was bought 15 years ago at cost of $100,000. What will a 5,000-gallon tank

harkovskaia [24]

Answer:

The value is $P_o = \$ 561958.9$

Step-by-step explanation:

From the question we are told that

The capacity of the metal tank is $C = 2000 \ gallon$

The duration usage is $t = 15\ years \ ago$

The cost of 2000-gallon tank 15 years ago is $P = \$100,000$

The capacity of the second tank considered is $C_1 = 5,000$

The power sizing exponent is $e = 0.57$

The initial construction cost index is $u_1 = 180$

The new construction after 15 years cost index is $u_2 =600$

Equation for the power sizing exponent is mathematically represented as

$\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}$

=> Here $P_n$ is the cost of 5,000-gallon tank as at 15 years ago

$P_n = [\frac{5000}{2000} ] ^{0.57} * 100000$

$P_n = \$168587.7$

Equation for the cost index exponent is mathematically represented as

$\frac{P_o}{P_n} = \frac{u_2}{u_1}$

Here $P_o$ is the cost of 5,000-gallon tank today

$\frac{P_o}{168587.7} = \frac{600}{180}$

=> $P_o = \frac{600}{180} * 168587.7$

=> $P_o = \$ 561958.9$

8 0

4 years ago

Is the piecewise graph a function? check using the vertical line test.​

Is the piecewise graph a function? check using the vertical line test.