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1 year ago

Help with practice problem

Mathematics

1 answer:

Misha Larkins [42]1 year ago

7 0

Answer:

i think the answer is r=0.5 or r=−3/2−x^2

Step-by-step explanation:

-4r^2-4r=6

step 1. -4r(-4r)= 16r

16r-4r=6

step 2. 16r-4r=12r

12r=6

step 3. /12 on both sides

r= 0.5

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Find the value of x in the triangle shown below.

nika2105 [10]

Answer:

$x = \sqrt{28}$

Step-by-step explanation:

Given,

Base of the triangle = 6

Hypotenuse of the triangle = 8

Let the height of the triangle = x

Therefore, According to Pythagoras Theorem,

${8}^{2} - {6}^{2} = {x}^{2}$

$= > 64 - 36 = {x}^{2}$

$= > 28 = {x}^{2}$

$= > x = \sqrt{28} (ans)$

6 0

2 years ago

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netineya [11]

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4 0

2 years ago

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE

Viktor [21]

Answer:

Step-by-step explanation:

Given the function f(x) = 8x³ − 12x² − 48x, <em>the critical point of the function occurs at its turning point i,e at f'(x) = 0</em>

First we have to differentiate the function as shown;

$f'(x)= 3(8)x^{3-1}- 2(12)x^{2-1} - 48x^{1-1}\\ \\f'(x) = 24x^2 - 24x-48x^0\\\\f'(x) = 24x^2 - 24x-48\\\\At \ the\turning\ point\ f'(x)= 0\\24x^2 - 24x-48 = 0\\\\\\$

$Dividing \ through \ by \ 24\\\\x^2-x-2 = 0\\\\On \ factorizing\\\\x^2-2x+x-2 = 0\\\\x(x-2)+1(x-2) = 0\\\\(x-2)(x+1) = 0\\\\x-2 = 0 \ and \ x+1 = 0\\\\x = 2 \ and \ -1$

Hence the critical numbers of the function are (2, -1)

8 0

2 years ago

Simplify <br> -4x+2x2-x2+5-3x

Serga [27]

Answer:

9 - 7x - x²

Step-by-step explanation:

-4x+2x2-x²+5-3x = -4x-3x+2x2+5-x²

I arranged the like terms together so it is easier to do the calculations.

-4x-3x+2x2+5-x² = -7x+4+5-x²

Simplify.

-7x+4+5-x² = 9-7x-x²

3 0

2 years ago

Read 2 more answers

A private ship carries two types of cargo: large crates and extra-large crates. Each type of crate weighs a specific amount.

Arisa [49]

Answer:

G. 32

Step-by-step explanation:

32 x 335 = 10720

16,100 - 10720 = 5380/190 = 28.3157894737

275 x 32 = 8800

18,800 - 8800 = 10,000/400 = 25 (This is the closer).

30 x 335 = 10,050

16,100 - 10,050 = 6050/190 = 31.8421052632

30 x 275 = 8250

18,800 - 8250 = 10550/400 = 26.375 (Same reason why it does't work)

25 x 335 = 8375

16,100 - 8375 = 7725/190 = 40.6578947368

25 x 275 = 6875

18,800 - 6875 = 11925/400 = 29.8125

24 x 335 = 8040

16,100 - 8040 = 8060/190 = 42.4210526316

24 x 275 = 6600

18,800 - 6600 = 12200/400 = 30.5

8 0

1 year ago