3x²-33x-180=3(x²-11x-60)=3(x-15)(x+4)
the roots are when x-15=0, x=15 and when x+4=0, x=-4
d and h are the answers.
Steps:
isolate " x " for -2x + 2y + 3z = 0 ; x = - ( - 3z - 2y ) / 2
Subsititute : x = - ( - 3z - 2y ) / 2
- 2 * ( - ( - 3z - 2y ) / 2 ) - y + z = - 3
2 * ( - ( - 3z - 2y ) / 2 ) + 3y + 3z =5
isolate " z " for : - 2 ( - ( - 3z - 2y ) / 2 ) - y+ z = - 3 ; z = - ( - 3 + 3y / 2 )
subsititute z = - ( - 3 + 3y / 2 ) :
2* ( - ( -3* ( - ( - 3 +3y / 2 ) - 2y / 2 ) + 3y + 3 ( - ( - 3 + 3y / 2 ) = 5
isolate y for 2 ( -( - 3 ) - 3 + 3y / 2 ) - 2y / 2 ) + 3y + 3 ( - ( - 3 + 3y / 2 ) = 5
y = 1
for z = - ( - 3+ 3y ) / 2
subsititute y = 1
z = - ( - 3 + 3 * 1 ) / 2
z = 0
For x = - ( - 3z - 2y ) / 2
subsititute y = 1
subsititute z = 0
x = - ( - 3 *0 - 2 * 1 ) / 2
x = 1
x = 1 , y = 1 , z = 0
The height of the surface increases, then decreases, from the center out to the sides of the road.
<h3>What is quadratic equation?</h3>
The polynomial having a degree of 2 is defined as the quadratic equation it means that the variable will have a maximum power of 2.
Let
y------> the height of the surface
x------> the road
we know that
The quadratic regression graphed represent a vertical parabola open downward
The function increase in the interval --------> (-5,0)
The function decrease in the interval --------> (0,5)
therefore
The height of the surface increases, then decreases, from the center out to the sides of the road.
To know more about quadratic equation follow
brainly.com/question/1214333
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Answer:
0.15 cup servings
Step-by-step explanation:
sorry if its wrong idk
