Expression: x × y = x/2 × 2y
Increase of water level at the rate of 2.5 inches per hour.
Answer:
n=4
Step-by-step explanation:
Of means multiplying so,
×32=24
Multiply by n on both sides to get rid of the n denominator.
3×32=24n
Simplify the equation.
96=24n
Divide by 24.
n= 4
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 = - 9 and x = - 2
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (- 2, - 9) with y- coordinate - 9, thus
y = - 9 ← equation of horizontal line
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 2, - 9) with x- coordinate - 2, thus
x = - 2 ← equation of vertical line