Put the value of x = 4 to the expression 3x + 2.
(3)(4) + 2
<em>first multiplication and next addition</em>
= 12 + 2 = 14
<h3>Answer: D. 14</h3>
To find the slope, you use the slope formula (m):
and plug in the two points
(-3, 4) = (x₁, y₁)
(2, -1) = (x₂, y₂)

[two negatives cancel each other out and become positive]


m = -1 The slope is -1
The vertex would be (5,-23)
Answer:
r⁶
Step-by-step explanation:
Cancel the common factors or r⁹ and r³
Answer:
<em><u>A.10000</u></em>
<em><u>B.25 more trees must be planted</u></em>
Step-by-step explanation:
⇒Given:
- The intial average yield per acre
= 150
- The initial number of trees per acre
= 100
- For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
- Total yield = (number of trees per acre)
(average yield per acre)
<em>A.</em>
⇒If the total trees per acre is doubled , which means :
total number of trees per acre
=
= 200
the yield will decrease by :
- 

⇒total yield = 
<em>B.</em>
⇒to maximize the yield ,
let's take the number of trees per acre to be 100+y ;
and thus the average yield per acre = 150 - y;
total yield = 
this is a quadratic equation. this can be rewritten as ,
⇒ 
In this equation , the total yield becomes maximum when y=25;
<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>