Answer:
(x+5/2)^2 = 0
Step-by-step explanation:
4 x^{2} +20x +25 =0
Divide by 4
4/4 x^{2} +20/4x +25/4 =0
x^2 +5x +25/4 =0
Subtract 25/4 from each side
x^2 +5x +25/4 -25/4 =-25/4
x^2 +5x =-25/4
Take the coefficent of x
5
Divide by 2
5/2
Square it
25/4
Add it to each side
x^2 +5x +25/4 =-25/4+25/4
(x+5/2)^2 = 0
Take the square root of each side
x+5/2 = 0
x = -5/2
Answer:
relationship between base and perpendicular is given by tan angle
tan ?=perpendicular./base
tan?=5/16
?=tan-¹(5/16)=17.35=17
Answer:
-1.39
Step-by-step explanation:
Revenue and cost as a function of units sold are 
and
respectively.
we are have to know for which value or input units are these functions at maximum which translates to for how many units is the revenue maximum and for how many same units is our cost minimum.
Answer:
<em>Peter now has 54 baseball cards</em>
Step-by-step explanation:
<u>Percentages</u>
Assume Peter had x baseball cards in his collection. The 35% of his initial collection is
35 * x / 100= 0.35x
We know that those 14 new baseball cards represent a 35% of his previous collection, therefore we can set a simple equation
0.35x=14
When we solve for x, we'll know how many baseball cards Peter had before
x=14 / 0.35 = 40
Peter had 40 cards, he added 14 new baseball cards, so he now has 40+14=54
Peter now has 54 baseball cards
The correct answer is D.
40/8=5 and 48/8=6
