Answer:
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>given:</h3>
<h3>let's solve:</h3>
<span>SALES: 5x² + 2x – 80
</span>- COST: 5x² – x + 100
= ------------------
PROFIT: 0x²+3x-180
(+3x because we subtracted a negative (-x), which is called adding, similarly taking away 100 from negative 80 is -180.)
Checking:
5x² + 2x – 80
5(500)²+2(500)-80 = 1,250,920
5x² – x + 100
5(500)² – (500) + 100= 1,249,600
Profit = 1,250,920 - 1,249,600 = 1,320
0(500)²+3(500)-180 = 1,320 YAY! {:-)
Double Checking:
5x² + 2x – 80
5(5000)²+2(5000)-80 = 125,009,920
5x² – x + 100
5(5000)² – (5000) + 100= 124,995,100
Profit = 125,009,920 - 124,995,100 = 14,820
0(5000)²+3(5000)-180 = <span>14,820</span> YAY! {:-)
Answer:
Communitave property
Step-by-step explanation:
Lets imagine the shape
M
/\
/ | \
/ | \
/ | \
P /___ |___\ N
O
Now in If we take â†MOP and â†MON
As MO ⊥ NP so â MON=â MOP
NO=NP (given)
And MO is a common side
so by side angle side rule of congruency
â†MOP and â†MON are congruent
so MP is congruent to MN
Answer:
The solution for k is the interval (-3.5,1.5)
Step-by-step explanation:
we have
![}[1-k]x^{2}+3x-(3+k)=0](https://tex.z-dn.net/?f=%7D%5B1-k%5Dx%5E%7B2%7D%2B3x-%283%2Bk%29%3D0)
we know that
If the discriminant is greater than zero . then the quadratic equation has two real and distinct solutions
The discriminant is equal to
In this problem we have
a=(1-k)
b=3
c=-(3+k)
substitute
so
solve the quadratic equation by graphing
The solution for k is the interval (-3.5,1.5)
see the attached figure
