Hello :
x+4y = 28
multiply by : 2
2x+8y =56
same line (same graph)
the system is : <span>Dependent
when the solution is :
x = k .... k in R
y = -1/4 x +7</span>
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↓)
Looking at the top half, we can see a triangle formed by ABC.
The area of a triangle is found by multiply 1/2 x base x height.
The height would be 1/2 of the overall height of the shape so 14.3 /2 = 7.15.
The area of the top half = 1/2 x 7.15 x 17.2 = 61.49
Since the bottom half is identical to the top half, multiply that area by 2 for the total area:
61.49 x 2 = 122.98 square feet.
Answer: she needs to go 12 times
Step-by-step explanation:
Answer:
B. -15
Step-by-step explanation: