Answer:
The axis of symmetry is x = 6
Step-by-step explanation:
To find this, first find the two x-intercept values and then take the average. This will always be the line of symmetry.
x + 9 = 0
x = -9
x - 21 = 0
x = 21
Now take the average of these two numbers.
(-9 + 21)/2
12/2
6
For 3x + 12 + x, do like terms:
4x + 12
For 4(3 + x), multiply
12 + 4x
They are both the same, just written in different ways. One is adding like terms and the other is multiplying with parentheses. Even though it may be switched around, it is still the same.
Hope this helps :)
In this question, we're trying to find how many miles a car travels in 15 minutes.
We know that the car travels at 85 mph.
However, we need to know how many miles it travels per minute.
To find this, we would divide 85 by 60.
85 ÷ 60 = 1.4166
The car drives at a speed of about 1.42 per minute.
We need to know how far it goes in 15 minutes, so multiply 1.42 by 15.
1.42 · 15 = 21.3
The car travels at a approximately 21.3 miles in 15 minutes.
Answer:
10 classes
Step-by-step explanation:
Given equations in the question
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
Where,
x = number of classes
Equate the total cost at both dance studios
15x = 25 + 12.5x
Collect like terms
15x - 12.5x = 25
2.5x = 25
Divide both sides by 2.5
2.5x / 2.5 = 25 / 2.5
x = 10 classes
x = number of classes = 10
