<span>We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12.
Let r = # of rows and s = # of seats in a row.
Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows.
Then
r x (r + 12) = 1564
or
r**2 + 12*r - 1564 = 0, which is a quadratic equation.
The general solution of a quadratic equation is:
x = (-b +or- square-root( b**2 - 4ac))/2a
In our case, a = 1, b = +12 and c = -1564, so
x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1
= (-12 +or- square-root( 144 + 6256 ) ) / 2
= (-12 +or- square-root( 6400 ) ) / 2
= (-12 +or- 80) / 2
= 34 or - 46
We ignore -46 since negative rows are not possible, and have:
rows = 34
and
seats per row = 34 + 12 = 46
as a check 34 x 46 = 1564 = total seats</span>
When a shape is rotated, it must be rotated around a point.
<em>See attachment for the image of each rotation.</em>
To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.
The top coordinates of the X shape are:
For 90 degrees counterclockwise rotation, the rule is:
So, we have:
For 180 degrees rotation, the rule is:
So, we have:
For 270 degrees counter rotation, the rule is:
So, we have:
See attachment for the image of each rotation
Read more about rotations at:
brainly.com/question/1571997
Answer: 60% increase followed by a 40% decrease belongs in less than original. A 50% increase followed by a 33 1/3 decrease also belong in less than original. A $20 decrease followed by a $20 increase belongs in same as original. A 75% decrease followed by a 50% increase belongs in less than original. A 100% increase followed by a 33 1/3 decrease belongs in less than original.
Step-by-step explanation:
Hope this helps :)
Answer:
x = -3
Step-by-step explanation:
y = -x + 2
7x + 4y = -1
Subsitution method: (Substitute y)
7x + 4(-x+2) = -1
Expand.
7x + (-4x + 8) = -1
One plus and one minus make one minus. Two plus makes a plus.
7x -4x + 8 = -1
Simplify.
3x + 8 = -1
Isolate 3x.
3x = -1-8
= -9
Find x.
x = -9 ÷ 3
= -3
Don't worry, I'll help you!
1. What is a function?
"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2<span>."
</span>2. What is the difference between a linear and non-linear function?
"The equation of a linear function has no exponents higher than 1, and the graph of a linear function is a straight line. The equation of a nonlinear function has at least one exponent higher than 1, and the graph of a nonlinear function<span> is a curved line."
</span>
<span>3. Constant Interval, and how does it appear on a graph
</span>Definition:
"Determine the intervals on which a function is increasing, decreasing or constant<span> by looking at a graph. Determine if a function is even, odd, or neither by looking at a graph. Determine if a function is even, odd, or neither given an equation."
How does it appear on a graph?
</span>
"Functions can either be constant, increasing as x increases, or decreasing as x<span> increases."
</span>
<span>4. Identifying the rate of change
</span>
Yes, you can:
"Consider the line y = 2x + 1, shown at the right. Notice that this slope will be the same if the points (1,3) and (2, 5) are used for the calculations. For straight lines, therate of change<span> (slope) is constant (always the same). For every one unit that is moved on the x-axis, two units are moved on the y-axis."
</span>
<span>5. Determining if it is a linear function or not
</span>
"A linear function<span> is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. You will notice that this </span>function<span> is degree 1 meaning that the x variable has an exponent of 1."
</span>
THAT IS IT!! YAY!!! HOPE THIS HELPED ON YOUR REVIEW!!
-Jina Wang, from Middle School
