Answer:
infinite solution
Step-by-step explanation:
because Y = 7(x + 2) and y = 7x + 14 are the same
y = 7(x+2) = 7x + 14
eliminate to see
y = 7x + 14
-(y = 7x +14)
= 0 = 0 + 0
so it is infinite solution
Step-by-step explanation:
39500 x 103 = 4,068,500
in scientific notation, that ia 4.0685 x 10⁶
Answer:
The answer to your question is:
Step-by-step explanation:
Data
f(x) = -2x² + 8x - 2
Process
-2x² + 8x = y + 2
-2(x² - 4x + 4) = y + 2 - 8
-2(x - 2)² = y - 6
(x - 2)² = 1/2 (y - 6)
Vertex = (2, 6)
Axis of symmetry = x = 2
y-intercept
f(0) = -2(0)² + 8(0) - 2
f(0) = 0 + 0 - 2
f(0) = -2
Domain (-∞, ∞)
Range (-∞, 6]
See the graph below
Answer:
1 and - 1
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope ( gradient ) )
y = x ← is in this form
with gradient m = 1
Parallel lines have equal gradients
Then the gradients of lines parallel to the given line is 1
Given a line with gradient m then the gradient of a line perpendicular to it is
= -
= -
= - 1
Then the gradients of lines perpendicular to this line is - 1
Let us look at the cost per can of both packs.
Cost of can in 6-pack = 1.80/6
= £0.30
Cost of can in 10-pack = 3.50/10
= £0.35
Since the cost of a can in the 6-pack is cheaper, it would be better to buy the 6-pack if you were looking to save money.