Answer:
Step-by-step explanation:
- y² - 10y + 30 =
- y² - 10y + 25 + 5 =
- (y - 5)² + 5
<u>Since (y - 5)² ≥ 0, the expression above is positve:</u>
Answer:
Systems of equations equals (-1.5, 4)
Step-by-step explanation:
1. isolate the y in both equations
2. a. 4x+3y=6
3y=-4x+6
y=-4/3x+2
b.
2y=4x+14
y=2x+7
3. Solve the system of equations
-4/3x+2=2x+7
2=3 1/3x+7
-5=3 1/3x
-1.5=x
4. Solve for y by plugging x into one equation
y=2x+7
y=2(-1.5) + 7
y= -3+7
y=4
5. Systems of equations equals (-1.5, 4)
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Answer:
(b = 5 StartRoot 3 EndRoot)
and
(b = Negative 5 StartRoot 3 EndRoot)
Step-by-step explanation:
we have

we know that
The roots of the quadratic function are the values of x when the value of the function is equal to zero
so
For f(b)=0

Solve for b
Adds 75 both sides

take square root both sides

Simplify

therefore
(b = 5 StartRoot 3 EndRoot)
and
(b = Negative 5 StartRoot 3 EndRoot)