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3 years ago

Determine the domain and range for the relation in interval notation.

Mathematics

1 answer:

Vanyuwa [196]3 years ago

8 0

Move from left to right to find the domain.

Domain: -4 to 2 which is [-4,2]

*For domain and range, brackets are used to indicate that values like -4 and 2 are included in the solution set.

Move from bottom to top to find the range.

Range: -3 to 3 which is [-3,3]

Good luck to you! Ask any questions you may have!

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Consider the two vectors m~ = (a,

Aloiza [94]

Answer:

Step-by-step explanation:

We are given the following vectors:

m = (a, b) = ai + bj

n = (c, d) = ci + dj

Values of a,b,c and d are given to be: a = 4, b = 4, c = 2, and d = −2

So, the vectors we have will be:

m = (4, 4) = 4i + 4j

n = (2, -2) = 2i - 2j

We need to find the magnitude of vector product m x m.

Remember that the vector(cross) product of a vector with itself is always 0. For any two vectors A and B, the magnitude of their vector(cross) product is defined as:

A x B = AB sin(θ)

Here, θ is the angle between two vectors A and B. if A and B represent the same vector then the angle θ will be zero. Since sin(θ) = 0, the magintude of the vector product will also be 0.

Therefore, for our question, the magnitude of the vector product m x m will be equal to 0.

7 0

3 years ago

The price of a bicycle was increased from $300 to $450. A) What percent of the original price is the increase price. B) What per

Andru [333]

Answer:

A) 150%

B) 133%

8 0

4 years ago

The price of a piano is increased from $18 to $22. What is the percentage increase?

aksik [14]

Answer:

22%

Step-by-step explanation:

22-18=4

4÷18=22

22×100=22%

5 0

3 years ago

4 batteries for 5.99

DiKsa [7]

Hi! i’m not sure what the question is, could you please include that?

6 0

3 years ago

The height of a tree in feet over x years is modeled by the function f(x).

Evgesh-ka [11]

If e-the initial hight of the tree, and the function imply some brackets like

f(x)=30/(1+29e-0.5x) then

for every

$0.5x > 29e + 1$

the rate of growth is negative, the maximum growth per unit of time would be 30ft

$x \geqslant 1$

then

$29e < - 0.5$

so the tree couldn't be 2ft tall initially

if the brackets are something like

f(x)=30:(1+29e)-0.5x then the results may differ

8 0

3 years ago