Answer:
p = 17/48 or 0.354
Step-by-step explanation:
11/16 = p + 4/12
subtract 4/12 from both sides
11/16 - 4/12 = p
convert so you have a common denominator
3(11/16) - 4(4/12)
33/48 - 16/48
= 17/48
p = 0.354
Answer:
Third option: The graph moves left 18 units.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If 
, the function is shifted up "k" units.
If 
, the function is shifted down "k" units.
If 
, the function is shifted left "k" units.
If 
, the function is shifted right "k" units.
In this case, we can observe that graph of 
is changed to 
Since:
We can conclude that the function is shifted left 18 units to get the function .
Answer:
width = 2 cm
Step-by-step explanation:
are of rectangle is equal to length times width
x is the width, then length is 3x + 4
so x(3x + 4) = 20
3x^2 + 4x = 20
3x^2 + 4x - 20 = 0
The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a
so a = 3
b = 4
c = -20
substitute in the formula
x = [-4 +/-√(4^2 - 4(3)(-20))]/2(3)
x = [-4 +/- √(16 + 240)]/6
x = [-4 +/- 16]/6
x1 = (-4 + 16)/6 = 2
x2 = (-4 - 16)/6 = -20/6
since the width can't be a negative number, x2 is not the right answer
so x = 2
Answer:
Step-by-step explanation:
Given:
function h(t) models the height of Pooja's plant (in cm) where
t is the number of days after she bought it.
Now we have to find about which number type is more appropriate for the domain of h.
That means what values can be taken by the variable "t".
As per the questions, t represents number of days not the hours so it will not be in decimal or fraction value. It can only use integer values for the number of days. like 1, 2, 3 ...,n
Now as the time is counted after she bought the plant then number of days will be positive.
Hence answer for the type of domain can be positive integers or you can say integers greater than or equal to 0.
