Ask question

Ask question

All categories

svetoff [14.1K]

2 years ago

13

Desperate for helllppp pls

1 answer:

beks73 [17]2 years ago

7 0

Answer:

B) - 1 < x < - 0.2

Step-by-step explanation:

<h3>Given inequality</h3>

|5x + 3| < 2

The LHS is absolute value so we look at two options:

<h3>Option 1</h3>

5x + 3 is positive, then the inequality becomes:

5x + 3 < 2
5x < 2 - 3
5x < - 1
x < - 1/5 or x < - 0.2

<h3>Option 2</h3>

5x + 3 is negative, then the inequality becomes:

- (5x + 3) < 2
5x + 3 > - 2
5x > - 2 - 3
5x > - 5
x > - 1

The solution is the combination of the two intervals:

x > - 1 and x < - 0.2 ⇒ - 1 < x < - 0.2

Correct choice is B

You might be interested in

Determine whether the stated conclusion is valid based on the given information. Explain your reasoning.

Oduvanchick [21]

The answer is D. The law of detachment states that
"If P than Q. P."
In this case passing the bar exam is P and getting to practice law is Q. So if we know that Candice is allowed to practice law if she passes the bar exam and that she did pass the exam. The conclusion that Candice can now practice law is valid.

4 0

3 years ago

Modeling radioactive material decay by exponential function

ch4aika [34]

ion really care bout school but i still go

7 0

2 years ago

Which set of side lengths does not form a right triangle

katrin2010 [14]

Answer: 14,15,29...................

3 0

3 years ago

Read 2 more answers

A rectangle with a width of 3 units and a length of x +5

Luden [163]

Answer:

The area is 45 units squared

Step-by-step explanation:

If the rectangle's width is 3 units, and the length is 5 times then:

5 x 3 = 15

So the length is 15 units

The area is length times width

15 x 3 = 45

The area is 45 units squared

7 0

3 years ago

A) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n

kramer

Answer:

a) The value of A = 2

b) The value of $B = \dfrac{1}{12}$

Step-by-step explanation:

a)

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; $P[X = n] = \dfrac{A}{3^n}$ for some constant A and n ≥ 1.

Then, let $\sum \limits ^{\infty}_{n =1} P[X =n] = 1$

This implies that:

$A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1$

$A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1$

$A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1$

$A \times \dfrac{1}{2}=1$

A = 2

Thus, the value of A = 2

b)

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

$f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.$

where; B is constant.

Then, using the property of the probability density function:

$\int ^3_0 \ B (x^2+1 ) \ dx = 1\\$

Taking the integral, we have:

$B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1$

$B \Big [\dfrac{3^3}{3} +3 \Big ]= 1$

$B \Big [\dfrac{27}{3} +3 \Big ] = 1$

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

$B = \dfrac{1}{12}$

5 0

3 years ago