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3 years ago

13 - 3/2 Pls give an explanation

Mathematics

1 answer:

postnew [5]3 years ago

7 0

13-3/2 you need to make a common denominator, so

26/2-3/2 then subtract the numerators, the denominator remains.

23/2 now simplify the fraction

11½ this is because 22/2+1/2=23/2, and 22/2=11, so 11+1/2 or 11½

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Leno4ka [110]

I hope this helps you

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How do you determine where f(x)=cos^(-1)(lnx) is continuous?

olga nikolaevna [1]

$\ln x$ is continuous over its domain, all real $x>0$ .

Meanwhile, $\cos^{-1}y$ is defined for real $-1\le y\le1$ .

If $y=\ln x$ , then we have $-1\le \ln x\le1\implies \dfrac1e\le x\le e$ as the domain of $\cos^{-1}(\ln x)$ .

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2 years ago

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Step-by-step explanation:

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2 years ago

How many solutions are there to this equation 3x(x-4)+5-x=2x-7

stich3 [128]

Answer:

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Step-by-step explanation:

I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...

x = 1
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To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:

3x(x -4) +5 -x -(2x -7) = 0

3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses

3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms

3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor

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<em>Alternate method</em>

Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...

d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c

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2 years ago

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sveta [45]

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Step-by-step explanation:

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