Answer:
vertex at (1, -3)
Step-by-step explanation:
When x = 0
y² + 6y + 1 = 0
y² + 6y + = -1
y² + 6y + 9 = -1 + 9
(y + 3)² = 8 or (-y - 3)² = 8
y + 3 = √8 or -y - 3 = √8
y = - 3 +√8 or y = -3 - √8
(0, - 3 +√8) and (0, -3 - √8)
The mid point between these two is the average
y = ( - 3 + √8 + -3 - √8) / 2 = - 3
y² + 6y + 8x + 1 = 0
(-3)² + 6(-3) + 8x + 1 = 0
9 - 18 + 1 = -8x
- 8 = -8x
x = 1
Answer:
6x + 10t
Step-by-step explanation:
We know that each cheese pizza (c) is $6, and each four topping pizza (f) is $10.
Knowing this, the total of all the pizzas is going to be 6* the amount of cheese (c) plus 10* the amount of four-toppings.
6x + 10t
Answer:
Time = T half–years , Rate = 5 % per half year
2
Answer:
x=24
Step-by-step explanation:
8x-13 = 7x+11; (because it's a rectangle)
8x - 7x = 11 + 13; (moving xs to one side, the rest to the other)
x = 24
Given:
The algebra tiles of an equation.
To find:
The equation represented by the given model.
Solution:
On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,



On the right side of the model we have 8 tiles of (-1). So,


Now, equate the LHS and RHS to get the equation.

Therefore, the equation for the given model is
.