Suppose we choose

and

. Then

Now suppose we choose

such that

where we pick the solution for this system such that

. Then we find

Note that you can always find a solution to the system above that satisfies

as long as

. What this means is that you can always find the value of

as a (constant) function of

.
Using slope-intercept form, y = mx + b where m = slope and b = y-intercept:
We know our slope is -6. This can be interpreted as -6/1, which rise-over-run-wise, means that when y changes by 6, x changes inversely by 1.
To find that y-intercept, though, we need to find the value of y when x = 0.
Use our point (-9, -3) to find this...
We want to add 9 to x so that it becomes 0.
According to our slope, this means subtracting 54 from y.
Our y-intercept is at (0, -57), with -57 being the value of b we put in our equation.

You could also just use point-slope form:
y - y¹ = m(x - x¹)
y - (-3) = -6(x - (-9))
y + 3 = -6(x + 9)
And convert to slope-intercept if you want:
y + 3 = -6x - 54
y = -6x - 57
The number of chocolate ice creams sold is 50.
<h3>How many chocolate ice creams are sold?</h3>
There exist three kinds of flavors.
45% of the ice creams exist as vanilla
30% of the ice creams exist as strawberry
x percent of the ice creams exist chocolate
The total amount of ice cream exists 200 which equals 100%.
Therefore,
45% + 30% + x = 100%
To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Solving for x, then the value of x is,
x = 25%
Then the number of chocolate ice creams are:
25%(200) = 50.
The number of chocolate ice creams sold is 50.
To learn more about the value of x refer to:
brainly.com/question/9965443
#SPJ2
Answer:
Part 1 = $1.32
Step-by-step explanation:
.72 divided by 6 is 12. So they make 12 cents per ticket, so that means you would have to do 12 times 11 and that should get you 132 cents and that is equivalent to $1.32.
615.44 = (3.14)(radius)^2
<span>radius = square-root of (615.44/3.14) </span>
<span>diameter = radius x 2 </span>
<span>diameter = 28 inches
3.14
</span>