Please answer right away
1 answer:
<u>Answer:</u>
The correct answer option is .
<u>Step-by-step explanation:</u>
We are to find the probability that both your parents were born on weekend (either Saturday or Sunday).
Total number of days in a week =
Number of days in weekend =
Probability of being born on weekend =
P (both parents were born on weekend) = = 4/49
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Move everybody to one side
minus 5x+2 both sides
x^2-5x-2=0
use quadratic formula where
if you have
ax^2+bx+c=0
x=
1x^2-5x-2=0
a=1
b=-5
c=-2
x=
x=
x=
aprox
x=5.372281323 or -0.3722813233
minus 5x+2 both sides
x^2-5x-2=0
use quadratic formula where
if you have
ax^2+bx+c=0
x=
1x^2-5x-2=0
a=1
b=-5
c=-2
x=
x=
x=
aprox
x=5.372281323 or -0.3722813233
Given:
The two functions are:
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If , the function f(x) is horizontally stretched by factor
.
If , the function f(x) is horizontally compressed by factor
.
We have,
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
Since , the function f(x) is horizontally stretched by factor
.
Hence, the correct option is D.
Answer:
(a)2(89x+84)
(b)
Step-by-step explanation:
The dimensions of the larger rectangular field are:
- Length=5x + 12; Width = 9x + 14.
The dimensions of the smaller rectangular soccer field are:
- Length=5x; Width = 9x.
(a)Area of the part of the field that is outside the soccer field
=Area of the larger rectangular field - Area of the Soccer Field
=(5x+12)(9x+14)-5x(9x)
=(5x)(9x)+70x+108x+168-5x(9x)
=178x+168
=2(89x+84)
(b)Radius of the Semicircular Fountain =2x
From Part (a),
Area of the larger rectangular field - Area of the Soccer Field=178x+168
Area of the Semicircular Fountain =
Area of the Field that does not include the soccer field or the fountain.
=Area of the larger rectangular field - Area of the Soccer Field-Area of the Semicircular Fountain