Answer:
Step-by-step explanation:
4/3(6y+21)-17=43
move all terms to the left:
4/3(6y+21)-17-(43)=0
Domain of the equation: 3(6y+21)!=0
y∈R
We add all the numbers together, and all the variables
4/3(6y+21)-60=0
You multiply all the terms by the denominator
-60*3(6y+21)+4=0
multiply elements
Answer:
12
Step-by-step explanation:
21x + 4x = 300 Put brackets around the first two terms.
(21x + 4x) = 300 Pull the x outside the brackets. Use the distributive property. Combine the left
25x = 300 Divide by 25
25x/25=300/25 Do the division
x = 12
Answer:
Step-by-step explanation:
Use hypotenuse leg theorem.
Answer:

Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
if a>0 -----> the parabola open upward (vertex is a minimum)
if a<0 -----> the parabola open downward (vertex is a maximum)
<u>Verify each case</u>
case A) 
The vertex is the point 

a>0 -----> the parabola open upward (vertex is a minimum)
The range is the interval--------> [5,∞)

case B) 
The vertex is the point 

a<0 -----> the parabola open downward (vertex is a maximum)
The range is the interval--------> (-∞,5]

case C) 
The vertex is the point 

a>0 -----> the parabola open upward (vertex is a minimum)
The range is the interval--------> [4,∞)

case D) 
The vertex is the point 

a<0 -----> the parabola open downward (vertex is a maximum)
The range is the interval--------> (-∞,4]
