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3 years ago

Which is equivalent to 6^-2

Mathematics

2 answers:

Vikki [24]3 years ago

5 0

I’m pretty sure it is 1/36!

Stells [14]3 years ago

4 0

Answer:

$\frac{1}{36}$

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The function f(x) = x2. The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule fo

Kaylis [27]

The rule for g(x) is: $f(x) = (x-3)^2-3$

Step-by-step explanation:

Given function is:

$f(x) = x^2$

When a function f(x) is shifted right or left, b units the new function is written as:

$f(x) = x$

Shifting right

$g(x) = f(x-b)$

Shifting left

$g(x) = f(x+b)$

Similarly, when shifting up or down

$g(x) = f(x)+b => Up\\g(x) = f(x) - b => Down$

As our given function is shifted 3 units to the right, it will be written as:

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

The function is when moved down 3 units, then

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

Hence

The rule for g(x) is: $f(x) = (x-3)^2-3$

Keywords: Function transformation, Functions

Learn more about functions at:

#LearnwithBrainly

5 0

3 years ago

Here are the ingredients for making pineapple sorbet for 6 people.

kvasek [131]

Answer: 1200 g pinapple

Step-by-step explanation:

800/2=400*3=1200

hope this helps

7 0

3 years ago

Read 2 more answers

Use spherical coordinates. Find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 = 81, above the xy-plane, an

Natasha_Volkova [10]

Answer:

The volume of the solid is 243 $\sqrt{2} \ \pi$

Step-by-step explanation:

From the information given:

BY applying sphere coordinates:

0 ≤ x² + y² + z² ≤ 81

0 ≤ ρ² ≤ 81

0 ≤ ρ ≤ 9

The intersection that takes place in the sphere and the cone is:

$x^2 +y^2 ( \sqrt{x^2 +y^2 })^2 = 81$

$2(x^2 + y^2) =81$

$x^2 +y^2 = \dfrac{81}{2}$

Thus; the region bounded is: 0 ≤ θ ≤ 2π

This implies that:

$z = \sqrt{x^2+y^2}$

ρcosФ = ρsinФ

tanФ = 1

Ф = π/4

Similarly; in the X-Y plane;

z = 0

ρcosФ = 0

cosФ = 0

Ф = π/2

So here; $\dfrac{\pi}{4} \leq \phi \le \dfrac{\pi}{2}$

Thus, volume: $V = \iiint_E \ d V = \int \limits^{\pi/2}_{\pi/4} \int \limits ^{2\pi}_{0} \int \limits^9_0 \rho ^2 \ sin \phi \ d\rho \ d \theta \ d \phi$

$V = \int \limits^{\pi/2}_{\pi/4} \ sin \phi \ d \phi \int \limits ^{2\pi}_{0} d \theta \int \limits^9_0 \rho ^2 d\rho$

$V = \bigg [-cos \phi \bigg]^{\pi/2}_{\pi/4} \bigg [\theta \bigg]^{2 \pi}_{0} \bigg [\dfrac{\rho^3}{3} \bigg ]^{9}_{0}$

$V = [ -0+ \dfrac{1}{\sqrt{2}}][2 \pi -0] [\dfrac{9^3}{3}- 0 ]$

V = 243 $\sqrt{2} \ \pi$

4 0

3 years ago

Jane earns a 5.5% commission on the selling price of each home she sells. She earned $9,020 in commission on the sale of a home.

ratelena [41]

Answer:

"$164000" is the appropriate answer.

Step-by-step explanation:

Let the selling price be "s".

As per the question,

If Jane take 5.5% of selling price i.e.,

= $0.055\times s$

Given commission,

= $9,020

then,

The selling price will be:

⇒ $0.055\times s=9020$

$s=\frac{9020}{0.055}$

$=164000$ ($)

6 0

2 years ago

P(x)=x(2x+5)(x+1)What are the zeros of this polynomial

erastova [34]

Answer:

(0,-5/2,-1)

Step-by-step explanation:

x(2x+5)(×+1)=0

x=0 2x+5=0 x+1=0

2x=-5 x=-1

x=-5/2

5 0

2 years ago