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ohaa [14]
3 years ago
10

Is y = |x| a function

Mathematics
2 answers:
Doss [256]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

A function is a relation for which each value from the set of the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

Hope this helps!

igor_vitrenko [27]3 years ago
4 0

Yes because  the definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.  We can write the statement that f is a function from Y to X using the function notation

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Hot dogs come in packages of 10 and hot dog buns come in packages of 8 . What is the least amount of product that you need to Bu
lubasha [3.4K]

This exercise is solved by finding the least common multiple between 10 and 8.


In fact, you have to buy a certain number h of hot dog package, and you will have 10h hot dogs, since there are 10 hot dogs in each package. The key concept here is that the number of hot dogs you have in the end is a multiple of the number of hot dogs in each box.


Similarly, you have to buy a certain number b of hot dog buns package, and you will have 8b hot dogs, since there are 8 hot dog buns in each package. Again, the key concept here is that the number of hot dog buns you have in the end is a multiple of the number of hot dog buns in each box.


Then, you want to have the same number of hot dogs and hot dog buns, i.e. you want


10h = 8b


but you also want h and b to be the first values to satisfy this equation.


This means that you want a multiple of 10 to equal a multiple of 8, and you want the smallest possible number which does the trick. Again, this is exactly the definition of the least common multiple.


To find the least common multiple of two numbers, find their prime factorization, and collect all the primes from both factorizations, with the highest exponent possible. Since 10 = 2\cdot 5 and 8 = 2^3, the primes appearing are 2 and 5. The higher exponent for 2 is 3, and the only exponent for 5 is 1. So, the answer is 2^3\cdot 5 = 40.


So, if you buy 4 packages of hot dogs and 5 packages of hot dog buns, you will have 40 hot dogs and 40 hot dog buns, as requested.

4 0
3 years ago
Read 2 more answers
Which is the last operation performed when evaluating (8 minus 2 x) squared + 4 for x = 3?
kompoz [17]

Answer:

addition

Step-by-step explanation:

The given expression is (8-2x)^2+4

We want to determine the last operation performed when evaluating this expression for x=3.

We substitute to get:

(8-2*3)^2+4

Multiply within the parenthesis to get:

(8-6)^2+4

Subtract to get:

2^2+4

Evaluate the exponent to get:

4+4

Add to obtain:

8

Hence the final operation is addition

4 0
3 years ago
Read 2 more answers
3.
Vitek1552 [10]
To solve this we are going to use the future value of annuity due formula: FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
where
FV is the future value
P is the periodic deposit 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year
k is the number of deposits per year

We know for our problem that P=420 and t=15. To convert the interest rate to decimal form, we are going to divide the rate by 100%: r= \frac{10}{100} =0.1. Since Ruben makes the deposits every 6 months, k=2. The interest is compounded semiannually, so 2 times per year; therefore, k=2.
Lets replace the values in our formula:

FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
FV=(1+ \frac{0.1}{2} )*420[ \frac{(1+ \frac{0.1}{2})^{(2)(15)}-1 }{ \frac{01}{2} } ]
FV=29299.53

We can conclude that the correct answer is <span>$29,299.53</span>
8 0
3 years ago
ZC and ZD are vertical angles with mZC = -3x+58 and mZD= x - 2.
kogti [31]

Answer:

×=-2

0=×-2

×=-2

33333333

3 0
2 years ago
I can’t figure this one out! Someone please help
Zinaida [17]

Answer:

g= -2x+1

Step-by-step explanation:

-2x because it goes down two boxes for every one box to the right.

+1 because that is the y intercept

6 0
2 years ago
Read 2 more answers
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