If you're not sure, begin by looking for any divisor that will divide into 24a^3c and 3a without leaving a remainder. Note that 3 is such a number, and a is another.
Factoring out 3a from 24a^3*c and 3a, we get 3a{8a^2*c, 1}
So the GCF is 3a.
Answer:
60+2x≥300
Step-by-step explanation:
So we know that she makes a base of $60 a week and gets $2 extra for every item she sells. First, we set up an equation for how many items she would have to sell to make exactly $300 in a week. 60+2x=300. Now, all we do is replace the equal sign with a ≥ sign because it says at least which means more than or equal to.
Answer: 1406.25
Step-by-step explanation:
The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls
Given that:
Area of soccer field = 9000 sq yards
Soccer field takes up 6 2/5 square inches on the map of park
Hence,
9000 yd² = 6 2/5 in²
Let 1 in² on map = m
9000 yd² = 32/5 in² - - - (1)
m = 1 in² - - - (2)
Cross multiply ;
6.4 * m = 9000
m = 9000/6.4
m = 1406.25
Hence,
1 in² on map = 1406.25 feet²
900
Answer:
1 is the positive difference in the y-intercept value of f(x) and g(x)
Step-by-step explanation:
The linear function f(x) passes through the points (0, 3) and (2, 7)
Here (0,3) is the point where f(x) crosses y axis
So y intercept = 3
Now we find g(x) from the given table
g(x) is an exponential function
General form of exponential function is g(x)= ab^x
Now we use the given values from the table
When x=2 , g(x)= 18
Plug in the values
=> 
(equation 1)
When x=3 , g(x)= 54
Plug in the values
=> 
(equation 2)
Divide second equation by first equation
so b = 3
We know 18 = ab^2
Plug in 3 for b
18= 9a
Divide by 9 on both sides
So a= 2
So g(x) becomes 
To find y intercept we plug in 0 for x
g(x) = 2(3)^2= 2
So y intercept = 2
y intercept of f(x) is 3 and y intercept of g(x) is 2
Difference is 3-2 = 1
Answer:
The answer is D)23
Step-by-step explanation:
