Answer:
Step-by-step explanation:
y = x² + x - 3
x = - 3
y = ( - 3 )² + ( - 3 ) - 3 = 3
( - 3 , <em>3</em> )
x = 0 ⇒ y = - 3
( 0 , <em>- 3</em> )
x = 1
y = ( 1 )² + ( 1 ) - 3 = - 1
( 1 , <em>- 1 </em>)
<em>(b).</em> Coordinate x of the vertex of quadratic equation y = ax² + bx + c is
-
x = -
= -
= - 0.5
y = ( - 0.5 )² + ( - 0.5 ) - 3 = - 3.25 = - 3
( -
, - 3
)
Answer:
Step-by-step explanation:
Given two events which are
A = the event that the place is a city
and
B = the event that the place is in north America.
We have to find outcomes which are either A or B
This can be denoted as event AUB which implies A or B or both
The event A or B is defined by the place is either a city or it is in north America or a place in north America.
Hence AUB = the place is a city or place is in North America
<h3><u>The length is equal to 8.</u></h3><h3><u>The width is equal to 4.</u></h3>
2l + 2w = 24
l = 3w - 4
Because we have a value for l, we can plug it into the first equation to solve for the exact value of w.
2(3w - 4) + 2w = 24
Distributive property.
6w - 8 + 2w = 24
Combine like terms.
8w - 8 = 24
Add 8 to both sides.
8w = 32
Divide both sides by 8.
w = 4
Now that we have a value for w, we can plug it into the second equation to solve for the exact value of l.
l = 3(4) - 4
l = 12 - 4
l = 8
2:35 4 and 70 are both common factors of two so if you divide not by two you get that
Answer: The second one
Step-by-step explanation: