Answer:
x = 19
Step-by-step explanation:
Vertical angles are equal
So
7x - 8 = 6x + 11
7x - 6x = 11 + 8
x = 19
Answer:

Step-by-step explanation:
We can directly substitute y of the first equation to the second equation.
-2x - 1 = 3x - 16
5x = 15
x = 3
Substituting back to any of the two equations, we get y = -2(3)-1 = -7. If you check with the second equation, y = 3(3)-16 = -7 as well.
Therefore
.
Answer: y= 5/2(x-2)^2 - 1
Step-by-step explanation:
y=a(x-2)^2 - 5
5=a(0-2)^2 - 5
10=a(-2)^2
10=a4
a=10/4 or 5/2
Answer:
The smaller number can be 8 or
.
Step-by-step explanation:
Consider the provided information.
let the larger number is x and the smaller number is y
A positive number is 3 times another number.

If we add 2 to the larger and 5 to the smaller, then one of them becomes 2 times the other.
Case I: If 2nd number is 2 times to the first number.

Substitute the value of x.


Now substitute the value of y in 


Therefore, the smaller number is 8.
Case II: If 1st number is 2 times to the second number.

Substitute the value of x.




Therefore, the smaller number is
.
Answer:
The percentage decrease in the temperature is 25%.
Step-by-step explanation:
The temperature last monday was =32°F
The dropped temperature during the next hour=24°F
The Percentage decrease in the temperature will be=
=
=
=