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3 years ago

Please help me out, I really could use it

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

6 0

Answer:

No real solutions

129

Step-by-step explanation:

The quadratic formula is

-b ± sqrt(b^2 -4ac)

----------------------------

3x^2 =2x-1

Lets get the equation in proper form

3x^2 -2x+1 = 2x-1-2x+1

3x^2 -2x+1 =0

a=3 b=-2 c=1

Lets substitute what we know

2 ± sqrt((-2)^2 -4(3)(1))

----------------------------

2(2)

-2 ± sqrt(4-12)

----------------------------

2(2)

-2 ± sqrt(-8)

----------------------------

No real solutions

The quadratic formula is

-b ± sqrt(b^2 -4ac)

----------------------------

2x^2 -10= 7x

Lets get the equation in proper form

2x^2 -7x-10 = 7-7x

2x^2 -7x-10 =0

a=2 b=-7 c=-10

Lets substitute what we know, we are only looking for what is inside the radical

(b^2 -4ac)

((-7)^2 -4(2)(-10))

(49 +80)

129

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A 748-N man stands in the middle of a frozen pond of radius 4.0 m. He is unable to get to the other side because of a lack of fr

Ber [7]

Answer:

The man will take 64 seconds to reach to the south shore of the frozen pond.

Step-by-step explanation:

Given:

Weight of the man = 748 N Mass of the man, $(m)= \frac{W}{g}$ = $\frac{748}{9.8}$ = $76.32$ kg

Radius of the pond $(r)$ = 4 m

Mass of the textbook = 1.2 kg

Velocity at which the textbook is thrown = 4 ms^1

We have to find the velocity of the man after the throw.

Let the velocity is $V_m$ .

Now using law of conservation of momentum we can find the $V_m$ value.

$m_(_b_)V_b_(_i_) +m_(_m_)V_m_(_i_) =m_(_b_)V_b_(_f_)+m_(_m_) V_m_(_f_)$

Considering $V_m_(_f_)=V_m$

And initial velocity of both the man and book i.e $V_b_(_i_)=0,\ V_m_(i_)=0$

So,

⇒ $0 =m_(_b_)V_b_(_f_)+m_(_m_) V_m$

⇒ Plugging the values.

⇒ $V_m=-\frac{m_(_b_)V_b_(_f_)}{m_(_m_)}$

⇒ $V_m=-\frac{1.2\times 4}{76.32}$

⇒ $V_m=-0.062$ ms^-1

Here the negative velocity is meant for opposite direction of the throw.

Numerically we will write, $V_m = 0.062$

With this velocity the man will move towards south.

We have to calculate the time taken by the man to move to its south shore.

And we know $velocity(v)\times time(t) = distance(d)$

Let the time taken be $t$ and $v\times t = d$ and $d=r$ then, $V_m\times t=r$

Then

⇒ $t=\frac{radius\ (r)}{V_m}$

⇒ Plugging the values.

⇒ $t=\frac{4}{0.062}$

⇒ $t =64$ sec

The man will take 64 seconds to reach to the south shore of the frozen pond (circular).

5 0

3 years ago

284,792 round to the place value of the underlined digit. Eight being in the ten thousand place value.

Yakvenalex [24]

The answer 280,000 because 4 is closer to 0

6 0

3 years ago

A dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours. At this constant rate, how long does i

Novosadov [1.4K]

Answer:

$\frac{4}{5}$ hour

Step-by-step explanation:

Let x represent time taken by dog to run the 1 and three tenths -mile state fair race.

We have been given that a dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours.

We will use proportions to solve our given problem as:

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

We will equate both speeds as:

$\frac{1\frac{3}{10}}{x}=\frac{3\frac{1}{4}}{2}$

$\frac{\frac{13}{10}}{x}=\frac{\frac{13}{4}}{2}$

$\frac{13}{10\cdot x}=\frac{13}{4\cdot 2}$

Cross multiply:

$13\cdot 10\cdot x=13\cdot 4\cdot 2$

$10\cdot x=4\cdot 2$

$\frac{10\cdot x}{10}=\frac{4\cdot 2}{10}$

Therefore, it will take $\frac{4}{5}$ hour to complete $1\frac{3}{10}$ mile state fair race.

7 0

3 years ago

Which of the following is the equation of the circle shown below?

jolli1 [7]

Equation of circle:

(y-k)² + (x-h)² = r², k & h being the coordinate of the center

(y+5)² + (x-3)² = 64, that is C

6 0

3 years ago

Read 2 more answers

Simple interest on a bank loan can be calculated by multiplying the principal times the interest rate times the time. In the

insens350 [35]

Answer:

I ---> stands for simple interest

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p ---> stands for principal

t---> stands for time

Step-by-step explanation:

The simple interest formula is I=prt.

In the formula,

I ---> stands for simple interest

r---> stands for interest rate

p ---> stands for principal

t---> stands for time

I hope this helps you choose the correct option from the complete question.

4 0

3 years ago