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2 years ago

F(x)=20-x^2+8x what are the minimum and maximum points and the axis of symmetry?

1 answer:

5 0

Vertex aka max or min point is found by -b/2a in form
f(x)=ax^2+bx+c
f(x)=-1x^2+8x+20
vertex x value is -8/(2)(-1)=-8/-2=4
input back to find y value
f(4)=-(4^2)+8*4+20
f(4)=-16+32+20
f(4)=36
max (since the graph opens down) is (4,36)
axis of symmetry is the x coordinate

max is (4,36)
axis of symmetrry is x=4

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2 years ago

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DochEvi [55]

Answer:

(1, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 3

y = -3x + 6

Step 2: Solve for x

Substitute in y: 3 = -3x + 6
[Subtraction Property of Equality] Subtract 6 on both sides: -3 = -3x
[Division Property of Equality] Divide -3 on both sides: 1 = x
Rewrite/Rearrange: x = 1

Step 3: Solve for y

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2 years ago

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bagirrra123 [75]

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3 years ago

Read 2 more answers

Together, Aanya and Krish can wash and wax Aanya's car in 50 minutes. Alone it takes Krish ten minutes more than Aanya. To the n

Leto [7]

Answer:

95 ; 105

Step-by-step explanation:

Let :

Aanya's time = x

Krish's time = x + 10

Together = 50

Hence

Aanya's rate = 1/x

Krish's rate = 1/(x + 10)

Together rate = 1/50

Hence,

1/x + 1/(x + 10) = 1 / 50

((x + 10) + x) / x(x + 10) = 1/ 50

(2x + 10)/ x² + 10x = 1/50

50(2x + 10) = x² + 10x

100x + 500 = x² + 10x

x² + 10x - 100x - 500 = 0

x² - 90x - 500 = 0

Using the quadratic equation solver :

x = 95.24 ; x = - 5.24

Time can't be negative

Hence, x = 95 (nearest minute)

It takes Aanya 95 minutes Alone a ND

Krishna (95 + 10) = 105 minutes alone

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2 years ago