All categories

2 years ago

If y varies directly with x and y = -15 when x = 3, find x when y = 10.

Mathematics

1 answer:

Anika [276]2 years ago

4 0

Answer:

like here x= 3 and y= -15

here, its 5 times goes in negative

now if y = 10 TO X IS 5 TIME POSITIVE HERE = 10×5 = 50

You might be interested in

Solve: 3x - 1 = 8(x + 1) + 1

amm1812

Answer:

x=-2

Step-by-step explanation:

3x-1=8x+8+1

3x-1 = 8x+9

3x-1+1=8x+9+1

3x= 8x+10

3x-8x=8x+10-8x

-5x=10

-5x ÷-5

10 ÷-5

x=-2

6 0

3 years ago

F(x) = 3x + x3

____ [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

$\frac{d}{dx}\left(3x+x^3\right)$

$\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'$

$=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

solving

$\frac{d}{dx}\left(3x\right)$

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

$=3\frac{d}{dx}\left(x\right)$

$\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1$

$=3\cdot \:1$

$=3$

now solving

$\frac{d}{dx}\left(x^3\right)$

$\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}$

$=3x^{3-1}$

$=3x^2$

Thus, the expression becomes

$\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

$=3+3x^2$

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 = 3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

$x=2,\:x=-2$

Thus, the value of x will be:

$x=2,\:x=-2$

5 0

3 years ago

The quotient of a number and 6 decreased by 10 is equal to 2.

Akimi4 [234]

Answer:

Step-by-step explanation:

x+6-10=2

x+6=12

x=12-6

<h3>hence the number is 6</h3>

4 0

2 years ago

Read 2 more answers

A RIGHT triangle has three sides: a, b, c such that a=b and LaTeX: a^2\:+\:b^2\:=\:c^2 a 2 + b 2 = c 2 What is the ratio of the

Alex_Xolod [135]

Answer:

$c=b\sqrt{2}$

Step-by-step explanation:

Refer to the attached image.

A right triangle is considered so when one of its corners are 90°.

If sides a and b are equal in length, then the corners across from them are equal in size as well.

The only way for this to be possible is if both corners A and B(opposite of sides a and b) are 45°.

Pythagorean theorem

This theorem states that the square of a right triangle's long side is equal to the sum of the squares of the shorter sides.

In this case:

$a^{2} +b^{2} =c^{2}$

but since:

$a=b$

the equation can be solved by replacing a with b in the equation:

$b^{2} +b^{2} =c^{2} \\2b^{2}=c^{2} \\\sqrt{2b^{2} } = c\\b\sqrt{2} =c$

7 0

3 years ago

?????????????? anyone

Keith_Richards [23]

Answer:

(6 + 3/n) -8

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers