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Nana76 [90]
3 years ago
7

Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation. the s

et of tree heights and the set of trees in a forest the set of car make and models and the set of people in a certain town the set of birthdays and the set of students in a class the set of people with Social Security cards and the set of Social Security numbers
Mathematics
2 answers:
maks197457 [2]3 years ago
8 0

Answer:

d

Step-by-step explanation:

polet [3.4K]3 years ago
6 0

Step-by-step explanation:

13 colonies map need help

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Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3.
Debora [2.8K]

Answer:

n/4 - 3 OR 1/4n - 3

Step-by-step explanation:

First, let's assign a variable to Emily's number.  Let is be <em>x</em>.

Now all we have to do is go through the problem step by step.

"She finds 1/4 of the number..."

There are two ways you can do this.  You can either multiply n by 1/4 (1/4n), or you can divide by 4 (dividing by four is the same as finding 1/4 of a number).  For this example let's divide by four

n/4

"...and then subtracts 3."

All we have to do is subtract 3 from n/4

n/4 - 3

REMEMBER: like I said, there are two possible options.  You can either have n/4 or 1/4n. They mean the same thing

6 0
3 years ago
Suppose u = (1,2,3), v = (2, -3, -4), and w = (1,0,-2). (a) Find u-2v + 3w. (b) Write the vector (3,4,5) as a linear combination
marishachu [46]
<h2>Answer with explanation:</h2>

We are given vectors u,v and w as follows:

      u=(1,2,3)\,\ v=(2,-3,-4),\ and\ w=(1,0,-2)

(a)

Now we are asked to find the value of:

  u-2v+3w

The value is calculated as follows:

u-2v+3w=(1,2,3)-2(2,-3,-4)+3(1,0,-2)\\\\i.e.\\\\u-2v+3w=(1,2,3)+(-2\times 2,-2\times -3,-2\times -4)+(3\times 1,3\times 0,3\times -2)\\\\i.e.\\\\u-2v+3w=(1,2,3)+(-4,6,8)+(3,0,-6)\\\\i.e.\\\\u-2v+3w=(1-4+3,2+6+0,3+8-6)\\\\i.e.\\\\u-2v+3w=(0,8,5)

                              Hence,

                 u-2v+3w=(0,8,5)

(b)

We are asked to represent (3,4,5) as a linear combination of u, v, and w.

Let:

(3,4,5)=au+bv+cw

(3,4,5)=a(1,2,3)+b(2,-3,-4)+c(1,0,-2)

i.e.

(3,4,5)=(a,2a,3a)+(2b,-3b,-4b)+(c,0,-2c)\\\\i.e.\\\\(3,4,5)=(a+2b+c,2a-3b,3a-4b-2c)\\\\i.e.\\\\a+2b+c=3----------(1)

2a-3b=4-------------(2)

3a-4b-2c=5------------(3)

on multiplying equation(1) by 2 an then adding equation (1) to equation (3)

5a=11\\\\i.e.\\\\a=\dfrac{11}{5}

on putting the value of a in equation (2) we get:

2\times \dfrac{11}{5}-3b=4\\\\i.e.\\\\\dfrac{22}{5}-3b=4\\\\i.e.\\\\3b=\dfrac{22}{5}-4\\\\i.e.\\\\3b=\dfrac{2}{5}\\\\i.e.\\\\b=\dfrac{2}{15}

Now on putting the value of a and b in equation (1)

\dfrac{11}{5}+2\times \dfrac{2}{15}+c=3\\\\i.e.\\\\\dfrac{11}{5}+\dfrac{4}{15}+c=3\\\\i.e.\\\\c=3-\dfrac{11}{5}-\dfrac{4}{15}\\\\i.e.\\\\c=\dfrac{3\times 15-11\times 3-4}{15}\\\\i.e.\\\\c=\dfrac{45-33-4}{15}\\\\i.e.\\\\c=\dfrac{8}{15}

Hence, we have:

(3,4,5)=\dfrac{11}{5}(1,2,3)+\dfrac{2}{15}(2,-3,-4)+\dfrac{8}{15}(1,0,-2)\\\\i.e.\\\\(3,4,5)=\dfrac{11}{5}u+\dfrac{2}{15}v+\dfrac{8}{15}w

5 0
4 years ago
Out of 460 students, 60% have pets. How many of the students have pets?
Margaret [11]
In order to find the number, we will need to set it up in an equation. In total, there are 460 students while 60% of them have pets. Lets set that up.
460(60%)
In order to correctly do this, we will need to transfer 60% into a decimal, which is .6. Now we will rewrite it.
460(.6) 
This now can be represented by the number 276.Since we know that 276 is 60% of 460, The total number of students that have pets will be 276.
3 0
4 years ago
Which of the following equations has a solution of x = -5?
Anna [14]

Answer:

C)

Step-by-step explanation:

16x - 7 = 11x - 32

16x - 11x = -32 + 7

5x = -25

x = -5

__________________________________________________

-4x - 10 = 2x + 20

-4x - 2x = 20 + 10

-6x = 30

x = -5

8 0
3 years ago
Anita pays $20.70 to copy an 18 page report. What is the cost<br> for each page?
Ivanshal [37]

Answer:

1.15

Step-by-step explanation:

20.7 divided by 18 equals 1.15

3 0
3 years ago
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