Answer:
$2.05
Step-by-step explanation:
$8/4 notebooks= $2
.20/4=.05
________________
$2.05
Answer:
0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1.
Answer:
k=17
Step-by-step explanation:
Given F(x)=2x+3 shifts 10 units when it is replaced with the graph f(x)=2x-k.
The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.
Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.


Now add 10 to this x coordinate , we get x1=
=
this is x coordinate where the second line meets the x-axis.
The second line is F(x)=2x-k.
now f(x)=0 and x=17/2
On substitution we get 
k=17
Answer:
The lengths of the bases are 9 inches and 15 inches.
Step-by-step explanation:
The area of trapezoid is

Given that the height of a trapezoid is 8 in. and its area is 96 in².
Assume the bases of the trapezoid be b₁ and b₂.
Since one base of the trapezoid 6 in. longer than the other.
Let, b₁=b₂+6
The area of the trapezoid is
in²
in²
in²
According to the problem,

[ Multiplying
]





Then, 
=9+6
=15 in
The lengths of the bases are 9 inches and 15 inches.
Answer:
see explanation
Step-by-step explanation:
(a)
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
f(x) + 5 represents a shift up of 5 units, thus
(2, - 3 ) → (2, - 3 + 5 ) → (2, 2 )
(b)
Given f(x) then - f(x) represents a reflection of f(x) in the x- axis
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(2, - 3 ) → (2, 3 )