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2 years ago

HELP ME IM A 6TH GRADER

Mathematics

1 answer:

Marysya12 [62]2 years ago

8 0

Answer:

Its B, C, and D

Step-by-step explanation:

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Write a verbal phrase for each of the following algebraic expressions.

Scrat [10]

Answer:

a. the product of 11 and x

b. 9 greater than x

c. x less than 18

d. the product of 4 and the difference of x and 3

Step-by-step explanation:

3 0

2 years ago

Find the number of degrees in the third angle of the triangle.<br> 100 degree and 49 degrees

Vesna [10]

Answer:

Step-by-step explanation:

4 0

2 years ago

What is the antiderivative of 3x/((x-1)^2)

Maslowich

Answer:

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Step-by-step explanation:

Given

$\int \:\:3\cdot \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx$

$=3\cdot \int \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Apply\:u-substitution:}\:u=x-1$

$=3\cdot \int \frac{u+1}{u^2}du$

$\mathrm{Expand}\:\frac{u+1}{u^2}:\quad \frac{1}{u}+\frac{1}{u^2}$

$=3\cdot \int \frac{1}{u}+\frac{1}{u^2}du$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx$

$=3\left(\int \frac{1}{u}du+\int \frac{1}{u^2}du\right)$

$\int \frac{1}{u}du=\ln \left|u\right|$ ∵ $\mathrm{Use\:the\:common\:integral}:\quad \int \frac{1}{u}du=\ln \left(\left|u\right|\right)$

$\int \frac{1}{u^2}du=-\frac{1}{u}$ ∵ $\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1$

$=3\left(\ln \left|u\right|-\frac{1}{u}\right)$

$\mathrm{Substitute\:back}\:u=x-1$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)$

$\mathrm{Add\:a\:constant\:to\:the\:solution}$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Therefore,

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

4 0

3 years ago

Select the expression equivalent to (-2x + 8.1y) - (-9x + 5.3y).

makvit [3.9K]

ANSWER
D.) 7x+2.8y

Hope this helped!

3 0

3 years ago

How do you write 8.4 in scientific notations

dezoksy [38]

Answer:

To write as a scientific notation in this problem, just make something 0.0 x 10n

In this case, this is 8.9. Then, think about how many 10s have to be multiplied to make 8900.

It's three!

Move the decimal point left to 3 places to make 5.78. Then, n is the number of decimal places you moved:3

Same goes to the case 0.034. You need to make something 0.0 x 10n

Hence, move the decimal point right to 2 places to make 3.4. How many decimal places did you move?Two!

But because you went right to make it from 0.034 to 3.4, n becomes -2(the number got 100 times smaller).

Just don't forget to add that negative sign after you have solved a problem involving a number smaller than 1.

Step-by-step explanation:

Hope this helps you.

5 0

2 years ago