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:
y- intercept = - 10 or (0, - 10 )
Step-by-step explanation:
to find the y-intercept, that is where the graph crosses the y- axis let x = 0 in the equation
f(0) = - 
(3)³ - 1
= - × 27 - 1 = - 9 - 1 = - 10
--------------------------------------------------
Find Slope
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y = -1/3 x + 4
Slope = -1/3
Slope of the parallel line = -1/3
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Insert slope into y = mx + c
--------------------------------------------------
y = -1/3 x + c
--------------------------------------------------
Find y-intercept
--------------------------------------------------
y = -1/3 x + c
at point (6, 5)
5 = -1/3 (6) + c
5 = - 2 + c
c = 5 + 2
c = 7
--------------------------------------------------
Insert y-intercept into y = -1/3x + c
--------------------------------------------------
y = -1/3 x + 7
--------------------------------------------------
Answer: y = -1/3 x + 7 (Answer B)
--------------------------------------------------
Answer:
A pound of potato costs $3.10
A dozen egg costs $5.5
A wheel of cheese costs $6.25
Step-by-step explanation:
Represent
- a dozen egg with D
- a wheel of cheese with W
- a pound of potato with P
For Adam:
---- (1)
For Barry:
---- (2)
For Charles:
---- (3)
Make D the subject in (2)
Substitute 36.50 - 10P for D in (3)
Collect Like Terms
Solve for P
Substitute 3.1 for P in
Substitute 3.1 for P and 5.5 for D in
Solve for W
