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damaskus [11]
3 years ago
11

Four and five thousand three ten-thousandths Write the number

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

4.0503

Step-by-step explanation:

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Answer:

★\:\: \frac{3 {x}^{3} - 18 {x}^{2} + 27x}{2 {x}^{2} + 2x - 12}\:when\:x≠2,\:3   \\ =   \frac{3x( {x}^{2} - 6x + 9) }{2( {x}^{2} + x - 6) }  \\  =  \frac{3x( {(x)}^{2} - 2 \times (3) \times (x) + {(3)}^{2} ) }{2( {x}^{2} + 3x - 2x - 6) }  \\ =  \frac{3x {(x - 3)}(x - 3) }{2(x(x + 3) - 2(x + 3))}   \\ =  \boxed{‡ \frac{3x {(x - 3)}^{2} }{2(x + 3)(x - 2)}‡}✓

<h3><u>3x(x-3)²/2(x+3)(x-2)</u> is the right answer.</h3>
6 0
2 years ago
1 Suppose you choose at random a real number X from the interval [2, 10]. (a) Find the density function f(x) and the probability
antoniya [11.8K]

Answer:

Step-by-step explanation:

Given that you choose at random a real number X from the interval [2, 10].

a) Since this is a contnuous interval with all number in between equally likely

E = probability for choosing a real number is U(2,10)

pdf of E is \frac{1}{8}

b) P(X>5) = \int\limits^10_5 {1/8} \, dx = \frac{5}{8}

P(5

For

x^2-12x+35 >0\\(x-5)(x-7)>0\\x7

P(X<5 or x>7) = 1-P(5<x<7)

= \frac{3}{4}

4 0
3 years ago
What’s the length ?
wel

Answer:

It is 36.Hope this helped.

Step-by-step explanation:

7 0
3 years ago
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An office worker can type at the rate of 57 words per minute. Which equation could be used to solve for the number of words he c
8_murik_8 [283]
57x6 =342
57=per min 
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4 0
3 years ago
Read 2 more answers
a botanist is monitoring the growth of a young tree and notices it is growing linearly. In fact, she realizes it is growing 3 in
klasskru [66]

Answer:

1) The equation in point and slope form is y - 56 = 3·(x - 17)

2) The above equation in slope and intercept form is y =  3·x + 5

3)  The height of the sidling when the botanist received it = 5 inches

4) The height of the tree on week 30 = 7 feet 11 inches

Step-by-step explanation:

The given parameters for the equation are;

The rate of growth of the young tree = 3 inches/week

The current height of the tree = 4 feet  8 inches = 56 inches

The current time since start of growth (time duration of growth) = 17 weeks

With the given information, we have;

The height of the tree, y = The dependent or y-variable

The time for the growth, x = The independent or x-variable

The slope = the rate of growth = 3 inches/week

At week, x = 17, y = 56 inches

1) The information presented in point and slope form is given as follows;

y - 56 = 3·(x - 17)

2) Simplifying the above equation to slope and intercept form, y = mx + c

Where;

m = The slope

c = The y-intercept

We have;

y = 3·x - 51 + 56 = 3·x + 5

y =  3·x + 5

Therefore the y-intercept = 5

3) The y-intercept = 5  which gives the value of the height of the tree at time x = 0 as follows;

At x = 0 when the tree was first received, the height of the tree, y = 3·x + 5 = 5 inches

4) On week 30, the height, y of the tree will be, y = 3 × 30 + 5 = 95 inches = 7 feet 11 inches.

3 0
3 years ago
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