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2 years ago

How to write all real numbers in set notation?

1 answer:

7 0

Hi, this is the notation for inclusion of all real numbers.

$x \in \mathbb{R}$

We can also state numbers which are positive or negative with a sign on top of the R notation like so:

$x \in \mathbb{R}^{+} \text{ or } x \in \mathbb{R}^{-}$

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If f(x) = 3x - 1 and g(x) = x + 2, find (f+g)(x).

yawa3891 [41]

F+g(x) = f(x) + g(x) = 3x-1 + x+2 = 4x+1

5 0

3 years ago

Mr. Hans wants to give an award to the student with the best jump rope rate. Linda can jump rope 120

Gelneren [198K]

Answer:

c) Mike receives the award for being the best at jumping rope.

Step-by-step explanation:

Here, according to the question

Jumping rate of Linda = 120 times in 4 minute

So, number of jumps Linda does per minute = (120/4) = 30

So, Jumps per minute of Linda is 30.

Jumping rate of Carl = 315 times in 9 minute

So, number of jumps Carl does per minute = (315/9) = 35

So, Jumps per minute of Carl is 35.

Jumping rate of Mike = 252 times in 7 minute

So, number of jumps Mike does per minute = (252/7) = 36

So, Jumps per minute of Linda is 36.

Now if we compare the <u>jumps per minute</u> of Linda , Carl and Mike, weget that Mike has the best rate of 36 jumps per minute.

Hence, Mike receives the award for being the best at jumping rope.

4 0

2 years ago

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.<br> r = 9 sin 7θ

boyakko [2]

Answer:

The given function symmetric about the y-axis.

Step-by-step explanation:

The given function is

$r=9\sin 7\theta$ .... (1)

1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point (r,-θ ) or (-r, π - θ ) also lies on the graph.

2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r,π - θ ) or (-r, -θ ) also lies on the graph.

3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.

Put (r, -θ ) in the given function.

$r=9\sin 7(-\theta)=-9\sin 7\theta=-r\neq r$

Therefore it is not symmetric about x-axis.

Put (-r, -θ ) in the given function.

$-r=9\sin 7(-\theta)=-9\sin 7\theta=-r$

Therefore it is symmetric about y-axis.

Put (-r,θ ) in the given function.

$-r=9\sin 7(\theta)=r\neq -r$

Therefore it is not symmetric about the origin.

3 0

2 years ago

Ms. Friedman and Mrs. Elliot both teach

sertanlavr [38]

Answer- Total area of both rooms and the storage =2844ft^2

7 0

3 years ago

How many 1-in. cubes can fit into a 2 by 4 by 2 in.<br>prism?

wel

Answer:

Step-by-step explanation:

The dimensions of the base of the prism are 4" by 2"; the height is 2".

Looking at the base, we see that (4)(2), or (8) 1" cubes would cover it exactly and wholly. We'd have a 3-dimensional prism with one layer of 1" cubes.

Now if we add a second layer right on top of the first layer, we'd have used (16) 1" cubes.

3 0

3 years ago

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