Hello :
the line has same slope : y=3x 3 is the slope
<span> the point-slope form is :
y-(-12) = 3(x-2)
y+12 = 3(x-2)</span>
Answer:
option 1
option 3
option 4
Step-by-step explanation:
Inversely proportional means "one quality increases, the other decreases " or "one quantity decreases ,other increases. " Inverse relantionship, that's it.
option 1:
Since the volume is given as 56 and we know the volume is area of base * height, to keep the volume at constant [56], if height increases, area of base would need to decrease, and vice versa. So Inversely proportional.
option 2:
The time spend in plowing a field with a tractor with increase when we area using more fuel.So more fuel used means more time spent. So these are directly proportional, Not inverse.
option 3:
Since the price is a constant, the amount of length we buy more,the price per one yard HAS to decrease, and vice versa. So ,this is Inverse relantionship.
option 4:
If the number of identical tractors. increase, it will take less time to plow the set 358 acre farm. And vice versa. So this is Inversely proportional as well.
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Answer:
⅖ is the slope
Step-by-step explanation:
To find slope:




Answer:
<em>(9,-5)</em>
Step-by-step explanation:
When you go down, the number will decrease. The vertical position is the Y axis. -3-2=5.
When you go right, the number will increase. The horizontal position is the X axis. 5+4=9
<em>(9,-5)</em>
<u>Hope this helps :-)</u>
From the given price function, we have;
(a) 
(b) The point elasticity of demand is 0.0256<u>;</u><u> </u><u>i</u><u>nelastic demand</u>
(c) $46.6
(d) Increase
<h3>How can the elasticity of demand be found?</h3>
a. The given function is presented as follows;

Differentiating the above function with a graphing calculator and setting q = 150 gives;

b. The point elasticity of demand is given by the formula;

When q = 150, we have;
P = 50
Which gives;

The point elasticity of demand, <em>E </em>= <u>0.0256</u>
- The <u>demand is inelastic</u> (less than 1) when the quantity demanded is 150 units
c. If the quantity demanded decreases from 150 to 140 units, we have;

Which gives;
p = 46.6
- The price when the quantity demanded decreases to 140 is <u>$46.6</u>
d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;
- The manufacturer should<u> increase the price</u>, <em>p </em>to increase the revenue, <em>R</em>.
R = p × q
Learn more about elasticity of demand here;
brainly.com/question/19141990