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2 years ago

If two sides of a triangle measurement 8cm 12cm what is the range of the third side

Mathematics

1 answer:

likoan [24]2 years ago

3 0

Umm I think maybe 4cm or 16cm

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Solve the following inequality. |3n-2|-2<1

disa [49]

Answer: $\frac{-1}{3}$ < n < $\frac{5}{3}$

Step-by-step explanation:

| 3n - 2 | - 2 < 1

+2 +2

| 3n - 2 | < 3

3n - 2 < 3 and 3n - 2 > -3

+2 +2 +2 +2

3n < 5 and 3n > -1

n < $\frac{5}{3}$ and n > $\frac{-1}{3}$

$\frac{-1}{3}$ < n < $\frac{5}{3}$

Interval Notation: $(\frac{-1}{3},$ $\frac{5}{3})$

Graph: $\frac{-1}{3}$ o--------------------o $\frac{5}{3}$

7 0

3 years ago

Read 2 more answers

46.The function f graphed above is the function f(x) = log2(x) + 2 for x > 0. Find a formula for the inverse of this function

pantera1 [17]

Answer:

The inverse for log₂(x) + 2 is - log₂x + 2.

Step-by-step explanation:

Given that

f(x) = log₂(x) + 2

Now to find the inverse of any function we put we replace x by 1/x.

f(x) = log₂(x) + 2

f(1/x) =g(x)= log₂(1/x) + 2

As we know that

log₂(a/b) = log₂a - log₂b

g(x) = log₂1 - log₂x + 2

We know that log₂1 = 0

g(x) = 0 - log₂x + 2

g(x) = - log₂x + 2

So the inverse for log₂(x) + 2 is - log₂x + 2.

3 0

3 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

7nadin3 [17]

Answer:

Widgets should be sold by $38.88 to maximize the profit.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

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

It's vertex is the point $(x_{v}, y_{v})$

In which

$x_{v} = -\frac{b}{2a}$

$y_{v} = -\frac{\Delta}{4a}$

Where

$\Delta = b^2-4ac$

If a<0, the vertex is a maximum point, that is, the maximum value happens at $x_{v}$ , and it's value is $y_{v}$ .

In this question:

The profit is given by:

$y = -9x^2 + 700x - 6005$

Which is a quadratic function with $a = -9, b = 700, c = -6005$

The maximum profit happens at the x of the vertex. Thus

$x_{v} = -\frac{b}{2a} = -\frac{700}{2(-9)} = 38.88$

Widgets should be sold by $38.88 to maximize the profit.

7 0

2 years ago

What is the negation of this statement x+y 10?

andre [41]

I'm not sure what your statement is.
Is it x+y = 10?

Because if it is, the negation of this statement would simply be x+y≠10, which stands for not equal.

7 0

2 years ago

In a book shop, there are 12 new books on a table. 7 of the books are fiction and the rest are non-fiction. What fraction of the

3241004551 [841]

Answer:

Hi, hows life going?

Step-by-step explanation:

8 0

3 years ago