Set 2x=x²-3 to each other.
Subtract 2x from both sides and get the following
x²-3-2x
Rearranging the formula to make factoring easier, we get
x²-2x-3
Factor and you should get the following:
(x-3)(x+1)
set both equal to 0 and solve for x.
x-3=0⇒x=3
x+1=0⇒x=-1
Now plug both of these values back into one of your original equations to get your y-values. It does not matter which equation you plug your xs back into due to the fact they intersect at the same x, and thus will also intersect at the same y.
For times sake,
y=2x
plug in x=3 and get y=6
plug in x=-1 and get y=-2
Ergo, the equations y=2x and y=x²-3 intersect at
(3,6) and (-1,-2)
Answer:
8/10,3/4, -3/4,-7/10
Step-by-step explanation:
From greatest to least, they -7/10 and -3/4 is a negative so thats the least because its below zero. 8/10 and 3/4 is positive so thats a decimal. The greatest is 8/10 because if you divide it, it give you .8 and 3/4 is .75. .8 is greater because it refers to 80 and .80 is greater that .75
If cente ris (h,k) and radius is r then
equatn is (x-h)^2+(y-k)^2=r^2
so
center (5,4)
r=2
h=5
k=4
(x-5)^2+(y-4)^2=2^2
(x-5)^2+(y-4)^2=4
first option
To find the circumference of a circle, you can use the formula
πd, where d is the diameter of the circle.
In this instance, we can tell from the picture that the diameter of the circle is 16 inches.
Therefore, the exact circumference of the circle is
C. 16pi inches
Answer:
Line A
Step-by-step explanation:
Hello!
Given that the x-values is the time in minutes, and the y-axis is the number of dishes stacked, for every minute, the line should go up by 7.
This means, that the value of y when x is 1 should be 7. The line that follows this rule is Line A. For every minute, 7 dishes are stacked.
The answer is Line A.
