9514 1404 393
Answer:
b, c, d -- (all but the first)
Step-by-step explanation:
The key take-away regarding what relation is or is not a function is the following: a function has no repeated x-values.
The x-values in the table are -3, -1, 0, 2, so any suggested ordered pair with one of those as an x-value cannot be added to the table. The only such pair in the list is the first one (-3, 4). It cannot be added. All of the remaining three pairs can be added and the relation will remain a function.
Answer:
x = 3
Step-by-step explanation:
Once again we want to use the relationship stated earlier
Where A * B = C * D
Once again imagine that the segments in the given problem have letters
A = x
B = 12
C = x + 1
D = 9
Now we create an equation using the relationship
12 * x = 9(x+1)
now we solve using basic algebra
step 1 distribute the 9 to the x and the 1
9 * x = 9x
9 * 1 = 9
now we have 12x = 9x + 9
step 2 subtract 9x from each side
12x - 9x = 3x
9x - 9x cancels out
now we have 3x = 9
step 3 divide each side by 3
3x/3=x
9/3=3
we're left with x = 3
So whats the question? Sorry im confused
The cost of each vegetable is €1.50 per pound
Edward bought 3.25 pounds of carrot.
So the cost of 3.25 pounds of carrots = 3.25 × 1.50 = €4.875
He also purchased
pounds of beet.
Quantity of beet purchased = 6/5 = 1.2 pounds
So the cost of beet shall be = 1.50 × 1.2 = €1.80
He purchased 0.95 pounds of Broccoli
So the cost of Broccoli shall be = 0.95 × 1.50 = €1.425
Total amount spent = 4.875 + 1.80 + 1.425 = €8.10
Edward spent €8.10 on vegetables.
Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2