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2 years ago

6

How are real numbers different from irrational number?

1 answer:

Readme [11.4K]2 years ago

3 0

Those labels are not opposites. There are tons of real irrational numbers.

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What is the maximum number of relative extrema contained in the graph of this function f(x)=3x^3-x^2+4x-2

Sergeeva-Olga [200]

The maximum number of turning points in a cubic function is 2.

In this case,

$f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4$

The discriminant is $(-2)^2-4(9)(4)=-140$ , which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.

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3 years ago

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Which equation has a slope of -2 and passes through the point (1,-6)?

Naily [24]

Answer:

y=-2x-4

Step-by-step explanation:

Given that,

Slope, m = -2

It passes through the point (1,-6).

We need to find the equation of line that passes throgh the given point. It can be calculated as:

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

Put y₁ = -6, x₁ = 1 and m = -2

$y-(-6)=(-2)(x-1)\\\\y+6=-2x+2\\\\y+2x+6-2=0\\\\y=-2x-4$

Hence, the equation of line is y=-2x-4.

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2 years ago

What is equivalent to -6 to the -5 power?

Anarel [89]

Answer:

$-\frac{1}{7776}$

Step-by-step explanation:

Put negative exponents in the denominator to make them positive.

$\frac{1}{-6^5}$

$\frac{1}{-6*-6*-6*-6*-6}$

$\frac{1}{-7776}$

$-\frac{1}{7776}$

8 0

2 years ago

Help math math math ASAP

STALIN [3.7K]

<h3><u>Solution</u>:-</h3>

The equation of any straight line can be written as in slope intercept form as -

$\green{ \underline { \boxed{ \sf{y=mx+c}}}}$

where,

m is its slope
c is its y-intercept.

<em><u>Given equation:- </u></em>

$\begin{gathered}\\\implies\quad \sf 5x+y = 10 \\\end{gathered}$

<u>Arranging it in slope intercept form by transposing 5x to RHS </u>

$\begin{gathered}\\\implies\quad \sf y = 10 -5x \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf y = -5x +10\\\end{gathered}$

$\leadsto$ Comparing the equation y = -5x +10 with the standard form of the equation, we get -

$\quad \bull\: \sf m= -5$

$\quad \bull \: \sf c= 10$

Thus , 5 is our required answer.

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2 years ago

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Question 10(Multiple Choice Worth 5 points)

Zinaida [17]

The answer is D. 2b+7

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3 years ago