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jeka57 [31]
3 years ago
9

Factor the polynomial. 216x^3-64

Mathematics
1 answer:
liberstina [14]3 years ago
8 0
(6x-4) (36x^2 +24x +16)
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What is the distance between Harry’s home and his office?
Svetach [21]

Answer:

The distance between Harry’s home and his office? is 15 miles.

Step-by-step explanation:

The speed, distance time formula is:

Speed(s)=\frac{Distance(d)}{Time(t)}

Given:

Speed (<em>s</em>) = 30 miles/hour

Then the relation between distance and time is:

s=\frac{d}{t} \\30=\frac{d}{t}\\d=30t...(i)

If Speed was 60 miles/hour the time taken is (t-\frac{1}{4}) hours.

Then the relation between distance and time is:

s=\frac{d}{t} \\60=\frac{d}{(t-\frac{1}{4}) }\\d=60t-15...(ii)

Use the value of <em>d</em> = 30t in (ii)

<em />d=60t-15\\30t=60t-15\\30t=15\\t=\frac{1}{2} hour<em />

Determine the distance as follows:

d=30t\\=30\times\frac{1}{2} \\=15\ miles

Thus, the distance between Harry’s home and his office? is 15 miles.

5 0
4 years ago
What is the first step to solve the equation 16x-21 = 52?
Makovka662 [10]

Answer:

2) Add 21 to both sides

Step-by-step explanation:

When solving 16x-21=52 for x, our goal to isolate x such that we have x set equal to something.

Therefore, we want to start by adding 21 to both sides. This leaves us with 16x=73 and we are one step closer to isolating x.

8 0
3 years ago
Read 2 more answers
De las siguientes relaciones entre dos variables, razona cuáles son funcionales y cuáles no: a. Edad – altura de la persona a lo
Arte-miy333 [17]

Answer:

In this problem, we need to describe the relation between variables, if that relation is functional or not. It's important to say that we assumed that the first variable is independent, and the second is dependent.

<h3>(a)</h3>

Age - Height of the person along his life: These variable are functinal and make total sense, because through time the person grows, which means the height changes as the age increases. These variables have a proportional relationship.

<h3>(b)</h3>

Height - Age of the person: These relation is not functional, becasuse age can't be a dependent variable, beacuse the age of a person doesn't depends on his height.

<h3>(c)</h3>

Gasoline price - Day of the Month: These relation is not functional, becasue time must be the independent variable.

<h3>(d)</h3>

Day of the Month - Gasoline price: These realation make sense, beacuse the price of the gasoline can be depedent of the day of the month.

<h3>(e)</h3>

A number and its fifth part: Notice that the fifth part depends on the number, it's defined by it, so this can be a function.

<h3>(f)</h3>

A number and its square root: These two variables represent a function, where "a number" represents the domain value and "its square root" represents a range vale.

4 0
3 years ago
Solve the equation <br><br> 3(x+2) = 2(2 - x)
RideAnS [48]

Answer:

x=-2/5

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
What is the domain of f?
Sedbober [7]

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

5 0
3 years ago
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