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4 years ago

3x - 4 = 6x - 19 Please help, it's due tomorrow!

Mathematics

2 answers:

oksano4ka [1.4K]4 years ago

8 0

$3x - 4 = 6x - 19$ ⇒ $3x-6x=4-19$ ⇒ $-3x=-15$ ⇒ $3x=15$

$\boxed {x=5}$

Naddika [18.5K]4 years ago

6 0

3x-4= 6x-19 » -4+19 = 6x-3x » 15 = 3x » 15/3 = x » x = 5

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Find the length of the following curve. If you have a grapher, you may want to graph the curve to see what it looks like.

stepladder [879]

The length of the curve $y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6 is 192 units

<h3>How to determine the length of the curve?</h3>

The curve is given as:

$y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6

Start by differentiating the curve function

$y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x$

Evaluate

$y' = x(9x^2 + 6)^\frac 12$

The length of the curve is calculated using:

$L =\int\limits^a_b {\sqrt{1 + y'^2}} \, dx$

This gives

$L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx$

Expand

$L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx$

This gives

$L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx$

Express as a perfect square

$L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx$

Evaluate the exponent

$L =\int\limits^6_3 {3x^2 + 1} \ dx$

Differentiate

$L = x^3 + x|\limits^6_3$

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units

Read more about curve lengths at:

brainly.com/question/14015568

#SPJ1

7 0

2 years ago

Question: A box of chocolates contains square chocolates, which weigh 10 g each, and round chocolates, which weigh 8 g each. The

Viktor [21]

Answer: the box contained 9 square chocolates and 15 round chocolates.

Step-by-step explanation:

Let x represent the number of square chocolates contained in the box.

Let y represent the number of round chocolates contained in the box.

The box of chocolates contains square chocolates, which weigh 10g each and round chocolates which weigh 8g each. The combined weight of all the chocolates is 210g. It means that

10x + 8y = 210- - - - - - - - - - -1

The number of round chocolates is 3 less than twice the number of square chocolates. It means that

y = 2x - 3

Substituting y = 2x - 3 into equation 1, it becomes

10x + 8(2x - 3) = 210

10x + 16x - 24 = 210

26x = 210 + 24

26x = 234

x = 234/26

x = 9

y = 2x - 3 = 2 × 9 - 3

y = 18 - 3

y = 15

3 0

3 years ago

60 EXTRA POINTS!!!! I need help with writing an inequality for a graph. It is below. :)

ch4aika [34]

Answer:

The answer to your question is: y ≥ - x + 6 and y ≥ x - 4

Step-by-step explanation:

Look of a pairs of points for each graph

Line 1 Line 2

A(0, 6) B (5, 1) C (7,3) D(5, 1)

m = (1- 6) / (5- 0) m = (1 - 3) / (5 - 7)

m = -5/5 = -1 m = -2 / -2 = 1

Find the line equation for each slope (y - y1) = m (x - x1)

(y - 1) = -1 (x - 5) (y - 1) = 1 (x - 5)

y - 1 = -x + 5 y -1 = x - 5

y = -x + 5 + 1 y = x - 5 + 1

y = -x + 6 y = x - 4

Inequality

y ≥ - x + 6 y ≥ x - 4

8 0

3 years ago

59:52

Natali5045456 [20]

Answer: A line is the undefined geometric term is described as a two-dimensional set of points that has no beginning or end.

6 0

3 years ago

Read 2 more answers

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Kobotan [32]

B. 25, acute
You can see it’s acute. 160 would be obtuse

3 0

3 years ago