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2 years ago

What are the values of (-2)4 and -24?

Mathematics

1 answer:

Lina20 [59]2 years ago

5 0

Follow the definition of exponents and the rules of multiplying positive and negative numbers.

$(-2)^4 = (-2)(-2)(-2)(-2) = 4(-2)(-2) = -8(-2) = 16$

$-2^4 = -(2^4) = -[2(2)(2)(2)] = -[4(2)(2)] = -[8(2)] = -[16] = -16$

Answer: The third choice, 16 and -16

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21. The solution(s) is/are b = Please help me solve this

Reil [10]

Answer:

b = -4, 0

Step-by-step explanation:

Given :

b² + 4b = 0

Take b as a common factor.

b(b + 4) = 0

Solutions

b = 0
b + 4 = 0 ⇒ b = -4
b = -4, 0

6 0

1 year ago

Read 2 more answers

You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T

velikii [3]

All functions have an inverse expression.

The cost function is: $\mathbf{C(x) = 40000 + 100x}$ .
The inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

From the question, we have the following observations:

Base fare = 50000 pesos for first 100
Additional guest = 100 pesos

So, the cost function would be:

$\mathbf{C(x) = 50000 + (x - 100) \times 100}$

Where: x represents the number of guests, and C(x) represents the cost function

Expand

$\mathbf{C(x) = 50000 + 100x - 10000}$

Evaluate like terms

$\mathbf{C(x) = 40000 + 100x}$

To calculate the inverse function, we have:

$\mathbf{C(x) = 40000 + 100x}$

Replace C(x) with y

$\mathbf{y = 40000 + 100x}$

Swap x and y

$\mathbf{x = 40000 + 100y}$

Subtract 40000 from both sides

$\mathbf{x - 40000 = 100y}$

Divide both sides by 100

$\mathbf{\frac{x - 40000}{100} = y}$

Rewrite as:

$\mathbf{y= \frac{x - 40000}{100} }$

Split

$\mathbf{y= \frac{x}{100} - \frac{40000}{100} }$

$\mathbf{y= 0.01x - 400 }$

Hence, the inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

Read more about functions and inverse at:

brainly.com/question/10300045

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2 years ago

If a car traveled 110.5 miles in two hours, how far did it travel in one hour?

Paul [167]

Answer: 55.25

Step-by-step explanation:

Divide 110.5 by 2 which give you 55.25

So in every hour the car travels at 55.25 miles per hour

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2 years ago

Find the total volume of the composite figure. Please help

Juli2301 [7.4K]

Answer:

Then, see how to find the volume of each of those individual figures to find the volume of the entire composite figure. Watch the whole process in this tutorial!

Step-by-step explanation:

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3 years ago

Use exterior angles to show that the angle sum of quadrilateral PQRS is 360°.

Shkiper50 [21]

Answer:

I don't really know but one triangle is 180 degrees so two added together is 360 degrees...

but ohh I remembered

a=c+d (since a+b=180 and c+d+b=180)

e=g+h (since e+f=180 and g+h+f= 180)

and the fact is that c+d+g+h+b+f=the angle sum of quadrilateral PQRS

a+e+b+f= the angle sum of quadrilateral PQRS (by substitutions)

a+e+b+f=360 (four angles are from one origin so it's 360 degrees )

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3 years ago