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3 years ago

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

2 answers:

8 0

$f(x)= x^2+9\\\\for\ each\ x\in R\\\\x^2 \geq 0\ \ \ \Rightarrow\ \ \ x^2+9 \geq 9\ \ \ \Rightarrow\ \ \ f(x) \geq 9\\\\y_{min}=9\\ y_{max}\ \ \ \rightarrow\ \ \ not\ exist$

sp2606 [1]3 years ago

7 0

$a>0 \Rightarrow \hbox{no maximum}$

$y_{min}=\frac{-b^2+4ac}{4a}\\y_{min}=\frac{-0^2+4\cdot1\cdot9}{4\cdot1}\\
y_{min}=9$

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Can you change 4x−3y=12 into slope-intercept form?

sdas [7]

Answer:

y = 4/3x -4

Step-by-step explanation:

4x -3y =12

move the variable to the right

-3y = 12 -4x

Change the signs

3y= -12 +4x

Divide both sides

y = -4 + 4/3x

Answer: y = 4/3x -4

Hope that helps!

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4 years ago

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3 years ago

What is the value of tan (B) in the diagram?

hodyreva [135]

Answer:

The correct answer is third option

1/√3

Step-by-step explanation:

From the figure we can see a right angled triangle ABC.

Right angled at C.

AB = 10

AC = 5

BC = 5√3

<u>Points to remember</u>

Tan θ = Opposite side/Adjacent side

<u>To find the value of tan(B)</u>

Tan B = Opposite side/Adjacent side

= AC/BC

= 5/5√3

= 1/√3

Therefore the value of tan(B) = 1/√3

7 0

4 years ago

Read 2 more answers

Using equivalent ratios, which statements are true about the cost per magnet? Check all that apply.

N76 [4]

Answer:

The true statements are:

The cost of 9 magnets is $3.

The cost of 6 magnets is $2.

The cost of 3 magnets is $1.

Step-by-step explanation:

equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:

if the cost of 9 magnets is $3;

9 magnets = $3

∴ 1 magnet = 3/9 = $ 1/3 = 1:3

if the cost of 6 magnets is $2;

6 magnets = $2

1 magnet = 2/6 = $1/3 = 1:3

if the cost of 3 magnets is $1;

3 magnets = $1

∴ 1 magnet = $ 1/3 = 1:3

From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.

3 0

4 years ago

#6 is the question, are these two functions inverse’s

olya-2409 [2.1K]

I will find the inverse function of f(n) to see if it is g(n).

$f(n) = 2(n - 2)^3$

$y = 2(x - 2)^3$

$x = 2(y - 2)^3$

$(y - 2)^3 = \dfrac{x}{2}$

$y - 2 = \sqrt[3]{\dfrac{x}{2}}$

$y = \sqrt[3]{\dfrac{x}{2}} + 2$

$y = \sqrt[3]{ \dfrac{x}{2} } \times \sqrt[3]{ \dfrac{4}{4}} + 2$

$y = \sqrt[3]{\dfrac{4x}{8}} + 2$

$y = \dfrac{ \sqrt[3]{4x }}{2} + 2$

$g(n) = \dfrac{\sqrt[3]{4n}} {2} + 2$

The inverse function of f(n) is indeed g(n), so f(n) and g(n) are inverse functions.

8 0

3 years ago