Answer:
W = 
Step-by-step explanation:
given the formula V = LWH
to solve for W divide both sides by LH, hence
W = 
Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is
=
= - 2.5
$20×.25=$5
$20-$5=$15
$15×.15=$2.25
$15+$2.25=$17.25
$17.25 is your answer
Answer:
7 cookies
Step-by-step explanation:
We have 3 brothers
First , Second, Third
Let the total number cookies be represented by A
1 cookie = 1
Working backwards, we start from the third brother
If we work backwards
It means he gave everything away
We start from the youngest
He was given 1/2 of what was left and 1/2 a cookie
This means,
1/2 + 1/2 = 1
The second brother
He got half of what is left and 1/2 a cookies
Half of what is left from brother
= What the youngest brother got + 1/2 + 1/2 a cookie
= 1 + 1/2 + 1/2
= 1.5 + 1/2
= 2 cookies
For the first brother
He got 1/2 of the cookies + 1/2 cookie
= 1.5 × 2 + 1/2 + 1/2 cookies
= 3 1/2 + 1/2
= 4 cookies
The first brother got 4 cookies
The second brother got 2 cookies
The third broth got 1 cookies
f = (f1 f2) / (f1 + f2)
f(f1 + f2) = f1 f2
f f 1 + f f 2 = f1 f 2
f1 f2 - f f2 = f f1
f2 (f1 - f) = f f1
f2 = (f f1) / (f1 - f) <==== solution