MATHEMATICS HIGH SCHOOL

State the maximum and mini mum value of
f(x)= x^2+9

Answers

Answer 1
Answer: f(x)= x^2+9\n\nfor\ each\ x\in R\n\nx^2 \geq 0\ \ \ \Rightarrow\ \ \ x^2+9 \geq 9\ \ \ \Rightarrow\ \ \ f(x) \geq 9\n\ny_(min)=9\n y_(max)\ \ \ \rightarrow\ \ \ not\ exist
Answer 2
Answer: a>0 \Rightarrow \hbox{no maximum}

y_(min)=(-b^2+4ac)/(4a)\ny_(min)=(-0^2+4\cdot1\cdot9)/(4\cdot1)\n y_(min)=9

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X • x = 2x need help

Answers

x\cdot x=2x\nx^2-2x=0\nx(x-2)=0\nx=0 \vee x=2
x*x=2x \n x^2=2x \n x^2-2x=0 \n x(x-2)=0 \n x = 0 \ \ \ \vee \ \ \ x-2=0 \ therefore \ x= 2

Determine if triangle XYZ with coordinates X(1, 1), Y(5, 6), and Z(6, 2) is a right triangle.

Answers

Answer:

Yes.

Step-by-step explanation:

If you graph it you can see that they all the points match up to the perfect right triangle. You may have to rotate it to see it though. Point Z is the angle of the triangle that is the corner of the 90 degree triangle.

Simplifying an Expression with the Numerator and the Denominator Raised to a Power

Answers

Answer:

The answer to your question is    the second option     (1)/(x^(48)y^(36)z^(6))

Step-by-step explanation:

Expression

                       [((x^(2)y^(3))^(-2))/((x^(6)y^(3)z)^(2))]^(3)

Process

1.- Divide the fraction in numerator and denominator

a) Numerator  

 [(x²y³)⁻²]³ = (x⁻⁴y⁻⁶)³ = x⁻¹²y⁻¹⁸

b) Denominator

 [(x⁶y³z)²]²= (x¹²y⁶z²)³ = x³⁶y¹⁸z⁶

2.- Simplify like terms

a) x⁻¹²x⁻³⁶ = x⁻⁴⁸

b) y⁻¹⁸y⁻¹⁸= y⁻³⁶

c) z⁻⁶

3.- Write the fraction

        (1)/(x^(48)y^(36)z^(6))

Answer:

First, Second, and fourth answers :)

Step-by-step explanation:

How do you solve x^2 plus 16x plus 63=0?

Answers

x^2+ 16x + 63=0 \n \na=1, \ b=16 , \ c=63 \n \n \Delta =b^2-4ac =16^2 -4\cdot1\cdot 63 = 256 -252 = 4 \n \nx_(1)=(-b-\Delta )/(2a)=(-16-√(4))/(2 )=(-16-2)/(2)=-(-18)/(2)=-9 \n \nx_(2)=(-b+\Delta )/(2a)=(-16+√(4))/(2 )=(-16+2)/(2)=-(-14)/(2)=-7 \n \n \nAnswer : \ x= -7 \ \ or \ \ x= -9

What is the LCM of the numbers 3, 6, and 9?A.
9
B.
18
C.
36
D.
54

Answers

the LCM is option B. 18

Answer:

The LCM of the numbers 3, 6, and 9, is 18.

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

I need help with math 1) Find the LCD of these fraction 6/2a and 1/5 a. 5a2 b.5a c.a2+5 d.a+5 2) Find the LCD of these fraction a.25xy2 b.50xy2 c.25x4y3 d.50x4y3 3) Find the LCD of these fraction 14/x2y and 7/xy2 a.xy b.xy2 c.x2y d.x2y2

Answers

Hmh this seem like a tough one let me see get back with u when i find the answer
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