A. that is b^2-4ac
for
ax^2+bx+c
the deterimant (part under the radicand)
is b^2-4ac
if it is
1. less than 0 then there are no real solutions
2. eqal to 0 then there is 1 real solution
3. greater than 0, there are 2 real roots
9x^2-16x+60
b^2-4ac=(-16)^2-4*9*60=256-2160<0
no real solutions
B. grouping
ac method
4 times -5=-20
what 2 numbers multiply to get -20 and add to get 8?
-2 and 10
seperate the middle number to get that
4x^2-2x+10x-5=0
(4x^2-2x)+(10x-5)=0
2x(2x-1)+2(2x-1)=0
(2x-1)(2x+2)=0
set equal to 0
2x-1=0
2x=1
x=1/2
2x+2=0
2x=-2
x=-1
x=1/2 or -1
Answer:
Step-by-step explanation:
The model for an exponencial function is:
'c' is the value of the asymptote, so we have c = 3.
To find the value of 'a', let's use the point (0,5):
Now, to find the value of 'b', let's use the point (1, 7):
So our function is:
Let's check if the point (-1, 4) is inside our function:
Answer:
at matilda's new job, she will make a rounded salary of $69,000 per year.
Step-by-step explanation:
when solving a problem like this, you have to take her current salary ($64,000 per year) and multiply it to the salary increase percentage by first turning the percentage into a decimal. to turn the percentage into a decimal, you imagine a tiny dot to the right of the 8 like this:
8.
and then you have to move that little dot to the left two times recreating it into .08. you multiply .08 (the salary increase percentage) by her current salary ($64,000) and then also add that number to matilda's current salary to come up with the answer you can round. I'll give you an example of my proscess just so I can give a clear visual of my explanation.
step one:
$64,000
x .08
-------------
5,120
step 2:
$64,000
+$5,120
-------------
$69,120
step 3:
$69,120 is rounded up to the nearest thousands is approximately $69,000
answer: $69,000
There is missing information required in order to find the solution. I need the satellite speed
420+86+109=615 I hope this helps you
