Answer:
The equivalent expression is: (6x + 5)*(6x - 5)
Step-by-step explanation:
This expression is called the difference of two squares.
It has the following format: 
It is factored as: 
In this question:
So
, then 
, then 
So
The equivalent expression is: (6x + 5)*(6x - 5)
Answer:
C≈15.71in
Step-by-step explanation:
Solve the equation for the diameter of the circle, d= C/π. In this example, "d = 12 / 3.14." or "The diameter is equal to twelve divided by 3.14." Divide the circumference by pi to get the answer. In this case, the diameter would be 3.82 inches.
Hope this helps!
Answer:
2) d= -3
5) f= -44
Step-by-step explanation:
You're welcome :)
Answer: After 16 seconds the boats will be traveling the same speed.
Step-by-step explanation:
Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.
Mike's spewed after x seconds = 12 + 0.2x
Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.
Hank's speed after x seconds = 26.4 -0.7 x
As per given,
12 + 0.2x = 26.4 -0.7 x
Subtract 12 from both sides
0.2x= 26.4-12-0.7x
⇒ 0.2x= 14.4-0.7x
Add 0.7xn on both sides , we get
0.2x+0.7x= 14.4
⇒ 0.9x = 14.4
Multiply 10 on both sides, we get
9x=144
Divide both sides by 9 , we get x= 16
Hence, after 16 seconds the boats will be traveling the same speed.
Answer:
3 toppings for a total of $6.50
Step-by-step explanation:
Based on the information provided we can calculate the cost of a yogurt using the following equations for both Froyo Express (F) and The Big Chill (B) , where the variable x represents the number of toppings...
F = 5.75 + 0.25x
B = 2.75 + 1.25x
Now that we have both equations we can simply make one equal to the other and solve for x in order to calculate at what number of toppings the prices will be the same...
5.75 + 0.25x = 2.75 + 1.25x ... subtract 2.75 and 0.25x on both sides
3 = 1x ... divide both sides by 1
3 = x
Finally, we can see that at 3 toppings the total cost of both stores will be the same at $6.50
