Answer:11
Step-by-step explanation:Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-5)-(18)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
3 • (x - 5) - 18 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
3x - 33 = 3 • (x - 11)
Equation at the end of step
3
:
3 • (x - 11) = 0
STEP
4
:
Equations which are never true:
4.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.2 Solve : x-11 = 0
Add 11 to both sides of the equation :
x = 11
One solution was found :
x = 11
Answer:
TU=4
Step-by-step explanation:
WU cuts the triangle in half (hint- angleTUW=90°)
so VU=TU
therefore, TU=4
Given :
To Find :
the absolute minimum and absolute maximum values of f on the given interval
[-1,2] .
Solution :
Now , getting first order differential equation and equating its equal to zero.

So , x=0 is critical point .
Now , coefficient of
is positive .
Therefore , it is increasing function after x=0 .
So , min value will be at , x=0.

And maximum value will be the maximum at the x=2 because it is increasing function .

Therefore , max and min value is 9 and -3 respectively .
Hence , this is the required solution .
Answer:
The absolute value of the quadratic term,
is less than 1
Step-by-step explanation:
The given function is y = (-1/2)·x² - 7
The parent function is y = x²
The vertical compression or stretching of a quadratic function is given by the value of the coefficient, <em>a</em>, of the quadratic term, x² of a quadratic function, a·x²
A quadratic function is vertically compressed if the coefficient,
< 1.
In the given function, y = (-1/2)·x² - 7, the absolute value of the coefficient of the quadratic term,
< 1, therefore, the equation, y = (-1/2)·x² - 7, will be vertically compressed compared to the parent function, y = x².