Answer:
y=-1/2n+44
Step-by-step explanation:
The number of bean stalks, n, represents the x values
The yield, y, represents the y values
After reading the problem, we have two coordinates: (30,29) and (32, 28) Because this problem is asking for y=mn+b, we have to find the slope. How do we find the slope? We do so by using the slope formula y2-y1/x2-x1. Now let's input the coordinates into this formula.
1.) 28-29/32-30 = -1/2
Let's plug -1/2 into y=mn +b
2.) y=-1/2n+b
Now we have to find what b ( y intercept) equals. To find B, we plug a coordinate into x and y. Let's use (30,29)
3.) 29 = -1/2(30)+b
29 = -15 +b
44 = b
We have now found the linear relationship form for this problem: y=-1/2n +44
Answer:

Step-by-step explanation:
we are given that

we want to figure out x
remember that,
In <u>unit</u><u> </u><u>circle</u> x coordinate is considered cos and y coordinate is considered sin
so in order to figure out x we should figure out the value of <u>cos</u> to do we can consider <u>Pythagoras</u><u> trig</u><u> </u><u>indentity</u>
given by

we are given sin=-√7/4 thus
substitute:

simplify square:

move left hand side expression to right hand side and change its sign:

simplify Substraction:

square root both sides:

since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable
hence,

The two inequalities formed will be:
One for ticket quantity:
x + y ≤ 600
One for funds generated via tickets:
5x + 7y ≥ 3500
Equating x to 330,
5(330) +7y ≥ 3500
y = 265
Checking if the other inequality holds true:
330 + 265 ≤ 600
595 ≤ 600
This inequality is still true so they can sell 265 tickets on the event day and cover their expenses.
Answer:
reflection across y translate 1 unit to the right translate 6 units down
Step-by-step explanation:
150 jelly beans are most likely to be red
You can multiply both numbers by ten