Answer:
smaller (t) = 2 and this in coordinates form (2,0)
larger (t) = 15 and this in coordinates form (15,0)
the vertex of the parabola = 
or in decimals (8.5, 42.25)
Step-by-step explanation:
- For the zeros of the function take each bracket and make it equal to zero.
SMALLER (t):
(t-2)=0
(add 2 for both sides)
t=2
LARGER (t):
(t-15)=0
(add 15 for both sides)
t=15
- For the vertex of the parabola you do:
step1: expand the brackets:
f(t)=-(t-2)(t-15)
f(t)= 
step2: define a,b and c using the expression 
:
a= -1 (the coefficient of 
)
b= 17 (the coefficient of t)
c= -30 (the single number without a letter)
step3: sub the values in the formula 
to find the x coordinate of the vertex :
= 
= 
or in decimals 8.5
step4: sub the value of t (the x-coordinate) in equation f(t):
f(t)=
f ( ) = - 
+ 17× - 30
= 
+ 
-30
=
or in decimals 42.25
(THIS IS A PICTURE OF THE GRAPH↓)
Answer:
The other one (number2) is not a function, because if you plot those points in a graph and use the line rule it shows that more than one point is aligned in that line.
Step-by-step explanation:
Answer:
$337.12
Step-by-step explanation:
Multiply $1562 by 78.5% (or 0.785) =1230.88
Then subtract the percent of her paycheck spent (1230.88) from the total of her paycheck(1562) to find out how much is missing(the mortgage payment)
1562-1230.88=337.12
Answer:
OAB = 75
OAB = 45
OMN = 60
Step-by-step explanation:
so there is a rule for corresponding angles are equal to one another
in this question the corresponding angles would be angle OMN and angle OAB
meaning that since OMN is 45 degrees, then OAB would also be 45 degrees
FOR ANGLE ONM
To find angle ONM, we know that the angle of a straight line is equal to 180 degrees.
If part of the straight line is 120 degrees, then the remaining would mean
180-120 = 60 degrees
thus ONM is 60 degrees
Earlier, we found that corresponding angles are equal and ONM and OBA are corresponding angles which means
OBA also equals 60 degrees.
To find angle OMN, the angles in a triangle add up to 180, since we know angles M and angle N, then
180 - 45 - 60 = 75 degrees
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Conjugate of z is:</u>
<u>Product zz' is:</u>
- zz' = (-3 + 5i)(-3 - 5i) = (-3)² - (5i)² = 9 - 25(-1) = 9 + 25 = 34
