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2 years ago

It is known that 1.4< square root 2 <1.5. Find all possible values of the expression:

Mathematics

1 answer:

matrenka [14]2 years ago

8 0

Answer:

2.4 < sqrt 2 +1<2.5

Step-by-step explanation:

You add one to both sides

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Alan says that two lines in the coordinate plane are perpendicular if and only if the slopes of the lines are m and 1m. Identify

mart [117]

Answer:

First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)

That is the first error of Alan.

Now, there is another error.

If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).

But we can not really divide by zero, so we should state that:

m can not be zero, if a line is horizontal, the perpendicular line must be vertical.

7 0

2 years ago

When a decision maker is faced with several alternatives and an uncertain set of future events, s/he uses __________ to develop

Step2247 [10]

Answer:

Option b: a decision analysis

Step-by-step explanation:

Option b: a decision analysis

Decision analysis is referred to that the strategic marketing planning process that consists of a systematic visual approach. it facilitates the use of all tools that can be needed to have a discussion on the decision process.

An approach like a diagrammatic representation of available resources, choices are mentioned on influence to easily draw the decision.

4 0

2 years ago

According to the Rational Root Theorem, Negative two-fifths is a potential rational root of which function?

Artemon [7]

Answer:

f(x) = 4x4 – 7x2 + x + 25 f(x) = 9x4

Step-by-step explanation:

Because it has to be this one

3 0

2 years ago

Read 2 more answers

If the farmer has 234 feet of fencing, what are the dimensions of the region which enclose the maximal area?

marissa [1.9K]

Answer: 58 ft × 58 ft

Step-by-step explanation:

Let the length of the region = x feet

And, the width of the region = y feet

Since, the perimeter of the region = 234 feet ( Given )

⇒ $2(x+y) = 234$

⇒ $x+y = 117$

⇒ $y = 117 - x$

Again the area of the region, A = xy

⇒ $A(x) = x(117-x)$

⇒ $A(x) = 117x - x^2$

By differentiating the above equation with respect to x,

⇒ $A'(x) = 117 - 2x$

For maxima or minima,

$A'(x) = 0$

$\implies 117 - 2x = 0$

$\implies -2x = -117$

$\implies x = 58.5$

Again differentiating equation A'(x) with respect to x,

We get, A''(x) = -2

Hence, For x = 58.5 A''(x) = negative

⇒ For x = 58.5 feet the area A(x) is maximum,

⇒ The length of the region having maximum area = x = 58.5 feet

And, the width of the region having maximum area = y = 117-x= 117 - 58.5=58.5 feet,

⇒ The dimension of the region having the maximum area = 58.5 ft × 58.5 ft

8 0

2 years ago

Read 2 more answers

Which phrase best describes the translation from the graph y = (x – 5)2 + 7 to the graph of y = (x + 1)2 – 2? A. 6 units left an

VikaD [51]

Answer:

A. 6 units left and 9 units down

Step-by-step explanation:

Given:

y = (x – 5)^2 + 7

y = (x +1)^2 - 2

The graph of y = (x – 5)^2 + 7 is a parabola 5 units right and 7 units up

The graph of y = (x +1)^2 - 2 is a parabola 1 unit left and 2 units down

Transformation is the difference in the shift

Transformation = 6 units left and 9 units down.

Therefore, answer A. 6 units left and 9 units down

Hope this will helpful.

Thank you.

4 0

2 years ago

Read 2 more answers