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3 years ago

What is the slope of the line?

Mathematics

1 answer:

vodomira [7]3 years ago

8 0

Answer:

The slope of the line is 1 I think

Step-by-step explanation:

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What is the integral of a square root? Please explain.

IrinaK [193]

If y = xⁿ

∫y dx = xⁿ⁺¹ / (n + 1) + C Provided n ≠ -1.

y = √x

y = x^(0.5)

∫y dx = x^(0.5+1) / (0.5 + 1) = x^(1.5) / 1.5 = x^(1.5) / (3/2)

∫y dx = (2/3) x^(1.5) + C.

∫y dx = (2/3) x^(3/2) + C.

∫y dx = (2/3)√x³ + C

5 0

3 years ago

Read 2 more answers

Help images below!!!

MaRussiya [10]

Answer:80

Step-by-step explanation:

6 0

3 years ago

I need step by step help with: 3x^1/3 + 2x^2/3 =5

Luba_88 [7]

If you write $y=x^{1/3}$ , you'll notice this is really just a quadratic equation that can be factorized:

$2x^{2/3}+3x^{1/3}-5=0\iff 2y^2+3y-5=0\iff (2y+5)(y-1)=0\iff(2x^{1/3}+5)(x^{1/3}-1)=0$

So you have

$2x^{1/3}+5=0\implies 2x^{1/3}=-5\implies x^{1/3}=-\dfrac52\implies x=-\dfrac{125}8$

and

$x^{1/3}-1=0\implies x^{1/3}=1\implies x=1$

5 0

3 years ago

A cube made of an unknown material has a height of 9 cm. The mass of this cube is 3,645 grams. Calculate the density of this cub

garik1379 [7]

Answer:

Step-by-step explanation:

Volume of the cube = s^3

s = 9cm

V = 9 * 9 * 9

V = 729 cm^3

d = mass / volume

d = 3645 / 729

d = 5 grams / cm^3

4 0

3 years ago

Will give 100pts for this question

dimaraw [331]

Answer:

Solution,

$\frac{24 {x}^{2} + 25x - 47}{ax - 2} = - 8x - 3 - \frac{53}{ax - 2} \\ \frac{24 {x}^{2} + 25x - 47 }{ax - 2} = \frac{( - 8x - 3)(ax - 2) - 53}{ax - 2} \\ 24 {x}^{2} + 25x - 47 = - 8a {x}^{2} + (16 - 3a)x - 47 \\$

Equating coefficients from both side:

$- 8a = 24 \\ a = \frac{ 24}{ - 8} \\ a = - 3$

Hope this helps..

good luck on your assignment..

3 0

3 years ago

Read 2 more answers