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4 years ago

Evaluate 3w+(8-v)t if w=4, v=5, and t=2 Please help!!!!

Mathematics

2 answers:

Masja [62]4 years ago

5 0

The answer is 18.
3(4)+(8-5)2
=3(4)+(3)2
=12+6
=18

Bezzdna [24]4 years ago

4 0

well, start off by replacing the variables (letters) with the matching numbers 3w + (8-v)t = 3(4) + (8-5)2, agreed?

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Which of the following could represent the graph of f(x)=x^4+x^3-8x^2-12x

Ad libitum [116K]

Answer:

Plot f(x)=x^4+x^3-8x^2-12x

Step-by-step explanation:

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3 years ago

Calculus 2 Master needed, show steps with partial fraction decomposition <img src="https://tex.z-dn.net/?f=%5Cint%283x%5E2-26x%2

Vladimir79 [104]

Answer:

-ln|x−5| + 2 ln(x²+4) + 3 tan⁻¹(x/2) + C

Step-by-step explanation:

The fraction will be split into a sum of two other fractions.

The first fraction will have a denominator of x − 5. The numerator will the a polynomial of one less order, in this case, a constant A.

The second fraction will have a denominator of x² + 4. The numerator will be Bx + C.

$\frac{3x^{2}-26x+26}{(x-5)(x^{2}+4)}=\frac{A}{x-5} +\frac{Bx+C}{x^{2}+4}$

Combine the two fractions back into one using the common denominator.

$\frac{A}{x-5} +\frac{Bx+C}{x^{2}+4}=\frac{A(x^{2}+4)+(Bx+C)(x-5)}{(x-5)(x^{2}+4)}$

This numerator will equal the original numerator.

$A(x^{2}+4)+(Bx+C)(x-5)=3x^{2}-26x+26\\Ax^{2}+4A+Bx^{2}-5Bx+Cx-5C=3x^{2}-26x+26\\(A+B)x^{2}+(C-5B)x+(4A-5C)=3x^{2}-26x+26$

Match the coefficients.

$A+B=3\\C-5B=-26\\4A-5C=26$

Solve the system of equations.

$A=-1\\B=4\\C=-6$

So we can rewrite the integral as:

$\int {(\frac{-1}{x-5}+\frac{4x-6}{x^{2}+4}) } \, dx$

Solving:

$\int {\frac{-1}{x-5}\, dx + \int {\frac{4x}{x^{2}+4}} \, dx - \int {\frac{6}{x^{2}+4} } \, dx$

$-\int {\frac{1}{x-5}\, dx + 2\int {\frac{2x}{x^{2}+4}} \, dx - 6\int {\frac{1}{x^{2}+4} } \, dx$

$-ln|x-5| + 2ln(x^{2}+4) - 6(\frac{1}{2} tan^{-1}(\frac{x}{2} )) + C$

$-ln|x-5| + 2ln(x^{2}+4) - 3 tan^{-1}(\frac{x}{2} ) + C$

5 0

3 years ago

Mike observed that 75% of the students of a school liked skating. If 35 students of the school did not like skating, the number

Allisa [31]

If 75% liked skating, then 25% did not
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7 0

3 years ago

Is the function given by f(x)equalsleft brace Start 2 By 2 Matrix 1st Row 1st Column one fourth x plus 1 comma 2nd Column for x

MArishka [77]

Answer:

C. The given function is continuous at x=4 because the limit is 2.

Step-by-step explanation:

Given the function:

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We are to determine if the function is continuous at x=4.

For a function to be continuous at some value c in its domain:

f(c) must be defined.

$Lim_{x \to c}$ f(x)$ must exist.

$f(c)=Lim_{x \to c}$ f(x)$

Now: at x=4

$f(4)=\dfrac{1}{4}*4+1=2$

$Lim_{x \to 4}f(x)=2$

Since the two values are the same, we say that f(x) is continuous at x=4.

The correct option is C.

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tangare [24]

Answer:

Step-by-step explanation:

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2 years ago