Answer:
Part a) 3.5 weeks
Part b) 185 tickets
Step-by-step explanation:
Part a) After how much time have the same number of tickets been sold for both festivals?
Let
x -----> the number of weeks
y ----> the number of tickets sold
we have
<em>Country Music Festival</em>
----> equation A
<em>Pop Music Festival</em>
----> equation B
Equate equation A and equation B
solve for x
Part b) What is the number of tickets sold at that time?
substitute the value of x=3.5 weeks in the linear equation A or linear equation B
Answer:
15 cubic units
Step-by-step explanation:
Use multiplication (V = l x w x h) to find the volume of a solid figure.
3*5=15
Explanation
Given a function f(x) we translate the function:
• a units horizontally (a > 0 to the right, a < 0 to the left),
,
• b units vertically (b > 0 up, b < 0 down),
by the transformation:
In this case, we have:
Comparing f(x) and g(x) with the general transformation above, we see that the graph of g(x) is the graph of f(x) translated:
• a = 2 units to the right,
,
• b = 4 units up.
Translating the graph of f(x), we get:
Answer
The translated graph is the graph in red:
Answer:
4,262.50 m
842 acres
Step-by-step explanation:
Given that :
Park is rectangular in shape
Width of park = 800 m
Area of park = 3.41 km²
Width of park = 800 / 1000 = 0.8 km
Area of rectangle, A
A = l * w
l = Length ; w = width
3.41 = l * 0.8
3.41 = 0.8l
l = 3.41 / 0.8
l = 4.2625 km
Hence, length in meters :
4.2625 * 1000
= 4,262.50 m
B.)
1 km² is approximately 247 acres
3.41km² = 3.41 * 247
3.41 km² = 842.27
= 842 acres
Given:
The given point is (-4,1)
Let's check the ordered pair (-4,1) in the first equation
Hence, (-4,1) is a solution of the first equation x-5y=-9.
Now, let's check (-4,1) in the second equation.
So, (-4,1) is a solution of the second equation 4x+4y=-12.
Hence, (-4,1) is a solution of both equation in the system, then it is a solution to the overall system.
