Answer:
Vertex form
Step-by-step explanation:
You convert to vertex form a(x - b)^2 + c . The coordinates of the maxm/minm will be (b, c).
For example find minimum value of x^2 + 5x - 6:-
x^2 + 5x - 6
= (x + 2.5)^2 - 6.25 - 6
= (x + 2.5)^2 - 12.25
The coordinates of minimumm will be (-2.5, -12.25) The values of the minimum of the function is -12.25
the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75
<u>Step-by-step explanation:</u>
Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.
Let the cost of each pound of trail mix is $y.
and the cost of each pound of jelly beans is $x.
According to question,
For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.
⇒
→ (1)
For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23
⇒
→ (2)
Solving (1) and (2), we get
3(1 equation)-(2 equation)=0
⇒
⇒
hence,
⇒
⇒
Putting
in
we get ;
⇒
⇒ 
⇒ 
⇒ 
Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .
Answer:
a. (b) 2.5
b. (b) 1.89
Step-by-step explanation:
E(X) =0(0.05)+1(0.25)+2(0.35)+3(0.15)+4(0.15)+5(0.15)= 2.5
Answer:

Step-by-step explanation:
Use Pythagorean theorem since you have a right triangle
= 
225 = 100 +
so x = 
Answer:
56
Step-by-step explanation:
By tracing the lines on the tree diagram, we see the probability of both being red is 0.5 × 0.6 = 0.3.
The probability of both being blue is 0.5 × 0.4 = 0.2.
So we would expect to get both blue 2/3 of the times we get both red.
X = 2/3 (84)
X = 56