Answer:
a: vertical stretch
h: horizontal translation (remember not to get signs mixed up!)
k: vertical translation
In the problem with the white circle, x=100, in the problem with the blue circle, x might equal 165, but I'm not entirely certain. But I am certain about the first one.
You can use systems of equations for this one.
We are going to use 'q' as the number of quarters Rafael had,
and 'n' as the number of nickels Rafael had.
You can write the first equation like this:
3.50=0.05n+0.25q
This says that however many 5 cent nickels he had, and however many
25 cent quarters he had, all added up to value $3.50.
Our second equation is this:
q=n+8
This says that Rafael had 8 more nickels that he had quarters.
We can now use substitution to solve our system.
We can rewrite our first equation from:
3.50=0.05n+0.25q
to:
3.50=0.05n+0.25(n+8)
From here, simply solve using PEMDAS.
3.50=0.05n+0.25(n+8) --Distribute 0.25 to the n and the 8
3.50=0.05n+0.25n+2 --Subtract 2 from both sides
1.50=0.05n+0.25n --Combine like terms
1.50=0.30n --Divide both sides by 0.30
5=n --This is how many NICKELS Rafael has.
We now know how many nickels he has, but the question is asking us
how many quarters he has.
Simply substitute our now-known value of n into either of our previous
equations (3.50=0.05n+0.25q or q=n+8) and solve.
We now know that Rafael had 13 quarters.
To check, just substitute our known values for our variables and solve.
If both sides of our equations are equal, then you know that you have
yourself a correct answer.
Happy math-ing :)
The values of x and y are 99 and 343
<h3>The HCF</h3>
The HCF of numbers is the highest common factors of the numbers
<h3>The LCM</h3>
The LCM of numbers is the lowest common multiple of the numbers
The HCF and the LCM are given as:
Multiply the HCF and the LCM
The product of the numbers x and y equals the product of the HCF and the LCM.
So, we have:
<h3>Prime Factors</h3>
Express 33957 as a prime factor
Rewrite the equation as
By comparison:
Hence, the values of x and y are 99 and 343
Read more about HCF and LCM at:
brainly.com/question/420337
