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2 years ago

Simplify 6^-3/6^5answers:• 6^8• 6^-2• 1/6^8• 1/6^2

Mathematics

1 answer:

Katyanochek1 [597]2 years ago

7 0

When you divide same numbers with exponents you would subtract the exponent: a^2/a^1 = a^(2-1) = a

Therefore: 6^-3/6^5 = 6^(-3-5) = 6^-8
Which is also 1/6^8

Solution: C

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HELP ASAP PLSS! f(x) = 12x + 5 find f(11) f(11) =

loris [4]

F(11) means to replace x in the equation with 11

12(11) + 5

12 x 11 = 132

Now you have 132 + 5 = 137

F(11) = 137

5 0

3 years ago

Write a quadratic function in standard form with zeros 1 and -10

Licemer1 [7]

Answer:

f(x)=x^2+9x-10

Step-by-step explanation:

Standard Form of Quadratic Function

The standard form of a quadratic function is:

$f(x)=ax^2+bx+c$

where a,b, and c are constants.

The factored form of a quadratic equation is:

$f(x)=a(x-\alpha)(x-\beta)$

Where $\alpha$ and $\beta$ are the roots or zeros of f, and a is constant.

We know the zeros of the function are 1 and -10. The function is:

$f(x)=a(x-1)(x-(-10))$

$f(x)=a(x-1)(x+10)$

Operating:

$f(x)=a(x^2+10x-x-10)$

Joining like terms:

$f(x)=a(x^2+9x-10)$

Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:

$\boxed{f(x)=x^2+9x-10}$

6 0

2 years ago

A cylinder has a height h, and a radius (3h-2)

tekilochka [14]

Answer:

$V= 4\pi (9h^2 -12h + 4)$

Step-by-step explanation:

Given

Shape: Cylinder

$Radius = 3h - 2$

$Height = h$

$Base\ Area = \pi (3h - 2)^2$

Required

Simplify the volume

The volume is calculated as:

$Volume = Base\ Area * Height$

Substitute values for Base Area and Height

$V= \pi(3h-2)^2*h$

Expand the bracket

$V= \pi(3h-2)(3h-2)*h$

Open brackets

$V= \pi (9h^2 -6h - 6h + 4) *h$

$V= \pi (9h^2 -12h + 4) *h$

$V= 4\pi (9h^2 -12h + 4)$

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2 years ago

What is the equation of the line in point-slope form that has a slope of -3 and passes through the point (5, 9)?

krek1111 [17]

Answer:

$y-9=-3(x-5)$

Step-by-step explanation:

The equation of the line in point-slope form is given as

$y-y_1=m(x-x_1)$

Here m=-3 and (x1, y1)=(5, 9)

Therefore,

$y-9=-3(x-5)$

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2 years ago

you are sharing 2 loaves of bread with 5 friends. you want each person to get a fair share how much bread will each person get

natali 33 [55]

2 loaves divided by 5 friends would be approximately 0.4 pieces of bread each.

3 0

2 years ago

Read 2 more answers

Simplify 6^-3/6^5answers:• 6^8• 6^-2• 1/6^8• 1/6^2​

Simplify 6^-3/6^5answers:• 6^8• 6^-2• 1/6^8• 1/6^2