This shows that both functions have the same y-intercept
<h3>Polynomial and exponential functions</h3>
Given the following functions as shown:
f(x) = -x^2 + 2x + 1
g(x) = 2^x
The y-intercept occurs at x = 0
For f(x) = -x^2 + 2x + 1
f(0) = -0^2 + 2(0) + 1
f(0) = 1
For the g(x), the y intercept is caculated as:
g(0) = 2^0
g(0) = 1
This shows that both functions have the same y-intercept
Learn more on intercept here: brainly.com/question/1884491
Answer:
the numbers are 4 and 12
Step-by-step explanation:
Given that
x + y = 16 ---------------- eq1
x^2 + y^2 = 160 -------- eq2
From eq1:
x = 16-y
Putting in eq2
(16 - y)^2 + y^2 -160 = 0
256 -32y + y^2 +y^2 - 160 = 0
96 -32y +2y^2 = 0
Taking 2 common:
48 - 16y + y^2 = 0
48 - 12y - 4y +y^2 = 0
12(4 - y) -y(4 - y)= 0
(12 -y) (4 - y) = 0
So weather:
y=4
OR
y = 12
Now put vaules of y in eq1
x + 4 = 16 =====> x = 12
x + 12 = 16=====> x = 4
So the numbers are 4 and 12
i hope it will help YOU!
If you bought 2 Product A that would be 24 ounces for 2.88.Unless A is better quality or something, Product B is cheaper, therefore being the better buy.
Determine the cost of 2 cereal box.
So if individual 2 cereal box of $5.18 then one cereal box is free means that individual buy 3 cereal box for $5.18.
If individual save $1 per box then cost of one cereal box is $1.59.
Determine the price of three box with each cost box cost is $1.59.
Thus save $1 per box is better incentive as individual pay less for same number of boxes.
Answer:
108 m/s
Step-by-step explanation:
Given,
Initial velocity ( u ) = 3 m/s
Acceleration ( a ) = 15 m/s^2
Time ( t ) = 7 seconds
To find : Final velocity ( v ) = ?
Formula : -
v = u + at
v
= 3 + ( 15 ) ( 7 )
= 3 + 105
= 108 m/s