Answer:
400 + 6x
Step-by-step explanation:
$400 cabin cost is fixed and doesn't change.
Food cost changes as there are more people so we can write it as 6x
Total cost is 400 + 6x
Answer:
12.65
Step-by-step explanation:
The equation for the distance between two points is √((x2-x1)²+(y2-y1)²)
Lets plug in our points to get:
√((-5+1)²+(6+6)²)
√((-4)²+(12)²)
√(16+144)
√160
using a calculator we get the answer 12.65
For the first point, remember this simple rule: every exponential function
always returns
when evaluated at
. In fact,
for every possible base
.
So, we can see that the graph of the exponential passes through the point
where
appears to be between 1 and 2. So, the only feasible option would be
, because it passes throught the point
because
.
The other functions are wrong because:
would pass through
, which would be between 0 and 1 on the y axis
would pass through
, which would be between 2 and 3 on the y axis
would pass through
, which would be between 0 and 1 on the y axis
As for the second question, you simply have to plug in the values: the function

means that you have to choose an input, x, and use it as exponent for 7. So, if you choose x=2, it means that you have to give exponent 2 to 7, i.e. you replace the x with the specific value, 2.
So, the expression becomes

Answer:
(1,0)
Step-by-step explanation:
y>-3x +3
y≥ 2x-2
If we plot these two inequalities, we can see where the lines intersect, See attached graph.
They intersect at (1,0)
We can also do this mathematically:
y>-3x +3
<u>- (y≥ 2x-2)</u>
0
-5x + 5
5x
5
x
1
If x = 1:
y≥ 2x-2
y≥ 2(1)-2
y≥ 0
(x,y) = (1,0)