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gizmo_the_mogwai [7]

3 years ago

10

Evaluate the expression 7+4b when b=3

1 answer:

Alex17521 [72]3 years ago

6 0

Answer:

19

Step-by-step explanation:

If we plug in b=3 then it would be 7+4(3), First we solve what 4 times 3 is which is 12 then we add 7+12 which is 19

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Use partial fraction expansion to evaluate: LaTeX: \int\frac{x-1}{x^2+3x+2}dx ∫ x − 1 x 2 + 3 x + 2 d x a. LaTeX: -2\ln\left|x+1

ohaa [14]

$\frac{x-1}{x^2+3x+2}\\\frac{x-1}{(x+1)(x+2)}\\\frac{x-1}{(x+1)(x+2)}=\frac{A}{x+2}+\frac{B}{x+1}\\x-1=A(x+1)+B(x+2)\\\\\text{ Let } x=-1 \text{ then } -2=A(0)+B(-1+2) \text{ which means } B=-2\\\\\text{ Instead of choose } x \text{ to be -1, let's now set it equal to -2 to find } A\\\\-3=A(-1)+B(-2+2)\\-3=-A\\A=3\\\\ \text{ So your integral becomes } \\\int \frac{3}{x+2} dx+\int \frac{-2}{x+1} dx\\3 \ln|x+2|-2\ln|x+1|+C\\\\or\\-2\ln|x+1|+3\ln|x+2|+C$

8 0

3 years ago

MATH<br> MATh<br> MAtH<br> MAAAAThHhH<br> YAAA

MariettaO [177]

Answer:

6k + 19

Step-by-step explanation:

7k - k + 19

6k + 19

7 0

2 years ago

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What is the order of rotational symmetry for a rhombus?

Ulleksa [173]

Answer:

2

Step-by-step explanation:

The order (or degree) of rotational symmetry of a rhombus is 2. This is because it looks the same only when rotated 0° or 180° (2 angles, total).

6 0

3 years ago

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What is the name of the point in which a tangent line intersects a circle?

erik [133]

It should be the point of tangency.

5 0

3 years ago

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The amount spent on food and drink by 20 customers is shown below What is the modal amount spent and the median?

Kaylis [27]

Answer:

Mode = 19.

Median = 23.

Step-by-step explanation:

Arrange in ascending order:

8 9 12 15 17 18 19 19 20 22 24 25 26 27 28 31 34 36 40 43

The modal amount is the one which occurs most , which is 19.

The median is the middle value of the 20 amounts.

As there is an even number of amounts the median is the mean of the 2 middle numbers:

Median = (22 + 24) / 2

= 23.

5 0

3 years ago