Answer:
108.2in^3
Step-by-step explanation:
V=(1/3)Bh
V=(1/3) (19.8) (16.4)
V=108.2in^3
Answer:
2 ( x+3) (x+1)
Step-by-step explanation:
2x^2+8x+6
Factor out a 2
2(x^2 +4x+3)
Factor in side the parentheses
What multiply to 3 and adds to 4 (3(1=3 3+1 =4)
2 ( x+3) (x+1)
Answer:
The correct option is C.
Step-by-step explanation:
The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.
The given terms are and .
The factored form of each term is
To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.
The LCM of given terms is . Therefore the correct option is C.
X + 7 = - 3
x = - 3 - 7
x = - 10
Now put the value of x in 2nd equation,
- 10 - y = -3
- y = - 3 + 10
- y = 7
y = - 7
Answer:
<h2>
Hence a = -1, b = 10</h2>
Step-by-step explanation:
Given h(x) = (x - 1)³ + 10, f(x) = x + a and g(x) = x³ + b so that h(x) = (gof)(x)
To get the value of a and b that will make the composite function true, we will first need to get the composite function (gof)(x).
(gof)(x) = g[f(x)]
g[f(x)] = g[ x + a]
To get g(x+a), we will replace the variable x in the function g(x) = x+b with x+a as shown;
g[x + a] = (x+a)³+b
Hence (gof)(x) = (x+a)+b
Equating h(x) = (gof)(x)
(x - 1)³ + 10 = (x+a)³+b
On comparing both sides of the equation;
(x - 1)³ = (x+a)³ and 10 = b
For (x - 1)³ = (x+a)³
Take cube root of both sides
∛ (x - 1)³ = ∛(x+a)³
x-1 = x+a
collect like terms
a = x-x-1
a = -1
Hence a = -1, b = 10