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3 years ago

Question 21 is probably the hardest question on this homework

Mathematics

2 answers:

Snezhnost [94]3 years ago

7 0

-15+5x= 20

5x= 35
x= 7

20= -15+5x

35= 5x

7 = x

Degger [83]3 years ago

5 0

Answer:

20= -15+5x

35= 5x

7 = x

Step-by-step explanation:

I hope I can help you :)

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Write an equation of a line containing (2, 1) and (3, 4) in point-slope form.

ivann1987 [24]

Answer:

$y-1=3(x-2)$

$y-4=3(x-3)$

Step-by-step explanation:

The slope formula is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

The line containing (2, 1) and (3, 4) has slope;

$m=\frac{4-1}{3-2}=3$

The point-slope form is given by:

$y-y_1=m(x-x_1)$

We substitute the point and slope to get:

$y-1=3(x-2)$

$y-4=3(x-3)$

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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:

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

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2 years ago

What is the best approximation of the volume of the right cone?

zalisa [80]

Formula:

V = 1/3 * pi * r^2 * h

Plug in what we know:

V = 1/3 * 3.14 * 3^2 * 4

V = 37.68cm^3

So the volume is 37.68cm^3 which rounds to 37.7cm^3.

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3 years ago

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Show that the number 6 is a rational number by finding a ratio of two integers equal to the number.

nydimaria [60]

I think this is right

-2 :-4

is the answer

Hope this helps : )

4 0

3 years ago

I need help ASAP please

Solnce55 [7]

Answer:

x = 6

Step-by-step explanation:

The area of a triangle is equal to the base times the height divided by two. In this case, the base is 6 (or x, it doesn't really matter) and the height is x (or 6, it doesn't matter). That means that the area of this triangle is equal to 6 * x divided by 2, which is also equal to 18. we can say that 6x/2 = 18, meaning that 6x = 36, so x = 6.

6 0

2 years ago