Answer:
x = - 
, x = 2
Step-by-step explanation:
To find h(g(x)) substitute x = g(x) into h(x) , that is
h(g(x))
= h(x + 1)
= (x + 1)²
= x² + 2x + 1
For h(g(x)) = 3x² + x - 5 , then
3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
2x² - x - 6 = 0 ← in standard form
(2x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
x - 2 = 0 ⇒ x = 2
Answer: 0.2743
Step-by-step explanation:
Let X be a random variable that represents the weight of bags of grasecks chocolate candoes.
X that follows normal distribution with, Mean = 4.3 ounces, Standard devaition = 0.05 ounces
The probability that a bag of these chocolate candies weighs less than 4.27 ounces :
Hence, the required probability = 0.2743
This does not look easy to factor, so I'd suggest using the quadratic formula:
-1 plus or minus sqrt( 1-4(3)(-5) )
x = -----------------------------------------------
2*3
-1 plus or minus sqrt(61)
= ------------------------------------
6
Thus, there are 2 real, unequal, irrational roots / solutions.
Answer:
Length = 10
Width = 13
Step-by-step explanation:
If the width of a rectangle is 3 units less than the length and if the area is 130 square units, the length is 10 units and the width is 13 units.
Formula: A=wl
Therefore, you have to find what two numbers multiply together in order to recieve 130 units.
A=wl=13·10=130
