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1 year ago

Solve the following equation4+2y=-9+2y

Mathematics

1 answer:

bulgar [2K]1 year ago

6 0

Answer:

${ \tt{4 + 2y = - 9 + 2y}} \\ \\ { \sf{2y - 2y = - 9 - 4}} \\ \\ { \sf{0y = - 13}}$

Hence no real values for y { y ≠ ∅ }

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The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f

Montano1993 [528]

$f'(x)=\dfrac{4x}{1+7x^2}$

Integrating gives

$f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx$

To compute the integral, substitute $u=1+7x^2$ , so that $\frac27\,\mathrm du=4x\,\mathrm dx$ . Then

$f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C$

Since $u=1+7x^2>0$ for all $x$ , we can drop the absolute value, so we end up with

$f(x)=\dfrac27\ln(1+7x^2)+C$

Given that $f(0)=10$ , we have

$10=\dfrac27\ln1+C\implies C=10$

so that

$\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}$

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3 years ago

18% of the the students at a school are in year 8 and 16% of the students are in year 9. If the school has 126 tera 8 students,

yarga [219]

Answer:

112

Step-by-step explanation:

The general form of all percentage questions is: the chunk= (some percentage) (of the whole), or c=p*w

We know that 18% of students are 8th grade and that is 126 students, so p = 0.18 and c=126 (126 students are 18% of the whole school)

126 = (0.18)w, divide both sides by 0.18

126/(0.18) = w = 700

9th graders are 16% of the school or 16% of 700 students

c = (0.16) 700 = 112 students

5 0

2 years ago

21 - 3y = -5

slavikrds [6]

Answer:

A. No

Step-by-step explanation:

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3 years ago

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kaheart [24]

Answer:

Step-by-step explanation:

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1 year ago

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kenny6666 [7]

Given that this is based on simple interest, in the first case, investing at 4% for 3 years gives a total interest of 4%*3 = 12%. In the second case, investing at 6% for 4 years gives a total interest of 6%*4 years = 24%. (We can do this since the same principal is given to both.) This is exactly double that of the first case of 12%, so the second choice is the right answer.

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3 years ago