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3 years ago

Domain and range for y=x^2+5x-6

Mathematics

1 answer:

enyata [817]3 years ago

8 0

Step-by-step explanation:

domain is all real numbers since its quadratic: (-infinity, infinity)

Range is from -6 to positive infinity or [-6, infinity)

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Bugs Bunny was 42 meters below ground, digging his way toward Albuquerque, when he realized he wanted to be above ground. He tur

lora16 [44]

The strategy

Model the situation as a right triangle.

Determine the appropriate trigonometric ratio in order to find the missing angle.

Form an equation and solve for the missing angle.

Calculate the final result and round.

Modeling as a right triangle

This situation can be modeled by the following right triangle. The hypotenuse is 100 meters and the height is 42 meters. We are asked to find the angle of elevation, which is the angle on the left.

Determining the appropriate trigonometric ratio
We are given the side opposite to the missing angle and the hypotenuse The appropriate trigonometric ratio is therefore the SINE.

Forming an equation and solving

Denoting the missing angle by θ, we obtain the equation $sin(0)= 42/100$ 

Solving the equation, we get $0=sin^-^1 (42/100)$

Evaluating this result in the calculator and rounding to the nearest tenth, we get θ = $24.8^0$ degrees.

3 0

4 years ago

(2xy) to the power of 3

Ymorist [56]

Answer:

8x³y³

Step-by-step explanation:

When the number is in parentheses, it means the exponent goes to all of the variables and numbers inside. So 2 squared is 8 and x squared and y squared are just written like that. I hope this helps clear things up...

8 0

3 years ago

Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas

lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

$n(S) = n(s) + n(S \cap F)$

In which n(s) are those who are succeful but not freshmen and $n(S \cap F)$ are those who are succesful and freshmen.

By the same logic, we also have that:

$n(F) = n(f) + n(S \cap F)$

The union is:

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

In which

$n(S \cup F) = 58$

$n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)$

$n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)$

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

$58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)$

$n(S \cap F) = 24$

So the correct answer is:

b) 24

3 0

4 years ago

If x = -3, what is the value of (1 - x)^3? Explain why

Anna007 [38]

Hello,

To find the value of (1 - x)³ when x = -3, you just need to substitute x = -3 into the given expression.

(1 - (-3)³
(1 + 3)³
4³
64

Your final answer is D, 64. Hopefully it helps! :D

5 0

4 years ago

I need to find the percentage of each round to the nearest cent if necessary.

Ludmilka [50]

8 1/2% of 4300 is 365.5

7 1/4% of 8200 is 594.5

9.2% of 3600 is 331.2

8 0

4 years ago