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balandron [24]
4 years ago
8

The zeros to the equation 3 x 2 − 5 x − 2 = 0 are x = 3 and x = 2.

Mathematics
1 answer:
Sati [7]4 years ago
8 0

Answer:

False

Step-by-step explanation:

Solving the equation

3x² - 5x - 2 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 2 = - 6 and sum = - 5

The factors are - 6 and + 1

Use these factors to split the x- term

3x² - 6x + x - 2 = 0 ( factor the first/second and third/fourth terms )

3x(x - 2) + 1(x - 2) = 0 ← factor out (x - 2) from each term

(x - 2)(3x + 1) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - \frac{1}{3}

Solutions are x = 2 and x = - \frac{1}{3}

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A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.
Bas_tet [7]

Answer:

The right solution is "0.5545".

Step-by-step explanation:

According to the question,

The probability of having 6 or 7 males will be:

= P(6 \ males)+ P(7 \ males)

= \frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}

= \frac{5005\times 1716+6435\times 1287}{30421755}

= \frac{16870425}{30421755}

= 0.5545

8 0
3 years ago
What is the function rule of (1,30) (2,35) (3,40) (4,45)?
stepan [7]
\bf \begin{array}{ccll}
x&y\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1&30\\
2&35\\
3&40\\
4&45\\
a&5(a)+25
\end{array}\qquad \qquad y=5x+25

if you have already covered slopes, you could also get it that way, in fact is  simpler that way.
8 0
3 years ago
How to answer the problem
Westkost [7]
The correct answer is C my friend
7 0
3 years ago
Jana ran the first 3 and a half miles of a 5 mile race in 1 3rd of an hour. what was her average rate, in mph, for the first par
Lisa [10]

Answer:

always try to draw a diagram first

Step-by-step explanation:

Jana ran The first 3.5 miles in 1/3 of an hour. remember the problem tells us that we want our answer in miles per hour or mph. so we have to set up our problem so that our units match in the end. The diagram above shows 3.5 mi over 1/3 hour. so we must divide 3.5 miles by 1/3 hour

note:

3 \frac{1}{2} mi =  \frac{7mi}{2}

therefore

\frac{7mi}{2}  \:  \div  \:  \frac{1hr}{3}  =

\frac{7mi}{2}  \times  \frac{3}{1hr}  =  \frac{21mi}{2hr}  = 10 \frac{1}{2}  \frac{mi}{hr}

7 0
3 years ago
The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distan
OleMash [197]

Answer:

S_g=  33.333cm

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

    S_g=\frac{a(1-r^n)}{1-r}

Mathematically solving for total distance traveled we have

    S_g=\frac{30(1-(0.10^5)}{1-(0.10)}

    S_g=\frac{30}{0.9}

Therefore the total distance traveled  by the pendulum after 5 swings

    S_g=  33.333cm

3 0
3 years ago
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