You first have to make an simple equation.
= How many pennies
= How many quarters
After that, since a penny is 5 Cents and a quarter is 25 Cents, we make the equation as:
(cents)
To write the whole entire thing in an equation is:

Since I brought the x from the left to right, we change the positive "
" to negative "
"
To bring the '
' to
, we get rid of the "
"s from both equations.
Now, you are left with the simplified equation:








Now you find the
.
= 28

Conclude:
So the y was the quarter and the x was the pennies.
Quarters = 13
Pennies = 28
If you were to compress a function vertically by a factor of n, f(x) would change to 1/n * f(x). Thus, choice C is the correct answer.
Answer:
y = 3x + 8
Step-by-step explanation:
Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - y + 12 = 0 ( subtract 3x + 12 from both sides )
- y = - 3x - 12 ( multiply through by - 1 )
y = 3x + 12 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , thus
y = 3x + c ← is the partial equation
To find c substitute (2, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 3x - 1 ← equation of parallel line
Theoretical probability is what, theoretically, the probability <em>should </em>be, regardless of data. Because there are only two options, the probability for getting heads on each toss should be 50%. For the total thirty tosses, theoretically, the coin <em>should</em> land on heads fifteen times, or five per trial, which is determined solely on the number of options.
Experimental probability is what the probability was based on the given data. In the first trial, head was scored 5 times, or 5/10, or 50%. This was repeated in the second and third trials. So, based purely <em>on the data,</em> the probability of the coin landing on heads was also 50%.
I hope this helps!
~Chrys