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3 years ago

ПОЖАЛУЙСТА,РЕШИТЕ!!!Решите уравнение:

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

1). $-\frac{5}{12}$ x = 0 ⇒ x = 0

2). 5,4 ( x + 6,3 ) = 0 ⇒ x + 6,3 = 0 ⇒ x = - 6,3

3). ( x - 3 )( x + 4 ) = 0 ⇒ x - 3 = 0 или x + 4 = 0 ⇒ x = 3 или x = - 4

4). 23,5 | x | = 0 ⇒ | x | = 0 ⇒ x = 0

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If the price of the early bird session is 2x - 3 and the price of the mid-morning session is 5x + 6, find an expression that rep

Travka [436]

Apply distributive property
(5x+6)-(2x-3)
=5x+6-2x+3 arrange like terms
Simplify =5x-2x+6+3
Equals 3x+9 final answer

8 0

3 years ago

I need help in partial fraction!! With simple explaination would be nice!

WITCHER [35]

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}$

The degree of the numerator (4) is larger than the degree of the denominator (3), so first you need to divide. (Added screenshot of long division procedure.)

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x-\dfrac{4x^2-17x+10}{x(x^2-3)}$

Now the second term can be decomposed into partial fractions.

$\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1}x+\dfrac{r_2x+r_3}{x^2-3}$
$\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1(x^2-3)+x(r_2x+r_3)}{x(x^2-3)}$
$4x^2-17x+10=r_1(x^2-3)+x(r_2x+r_3)$
$4x^2-17x+10=(r_1+r_2)x^2+r_3x-3r_1$
$\implies\begin{cases}r_1+r_2=4\\r_3=-17\\-3r_1=10\end{cases}\implies r_1=-\dfrac{10}3,r_2=\dfrac{22}3,r_3=-17=-\dfrac{51}3$
$\implies\dfrac{4x^2-17x+10}{x(x^2-3)}=-\dfrac{10}{3x}+\dfrac{22x-51}{x^2-3}$

So

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x+\dfrac{10}{3x}-\dfrac{22x-51}{x^2-3}$

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3 years ago

#1) a normal distribution has a mean of 101 and a standard deviation of 4.2. what is the z-score of 105?

nika2105 [10]

Step-by-step explanation:

z = (specific score - mean) / standard deviation

in our case

z = (105 - 101)/4.2 = 4/4.2 = 0.952380952... ≈ 0.95

as z-tables usually round the z-scores to hundredths.

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2 years ago

Please answer this question :)

tia_tia [17]

Answer: 2.663043987
explanation: use calculator

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3 years ago

A student performed the following steps to find the solution to the question x^2 - 2x - 15 = 0. Where did the student go wrong?

nataly862011 [7]

Answer:

D In step 3

Step-by-step explanation:

Given polynomial: x² - 2x - 15 = 0

Step 1: factor the polynomial ⇒ (x + 3)(x - 5) = 0

Step 2: x + 3 = 0 and x - 5 = 0

Step 3: x = -3 and x = 5

x - 5 = 0

Add 5 to both sides:

⇒ x - 5 + 5 = 0 + 5

⇒ x = 5

7 0

2 years ago