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2 years ago

to solve the following equation , 7x - 2 = 12 , which of the choices below is a correct method to find the value of X

Mathematics

1 answer:

Daniel [21]2 years ago

4 0

The Answer:the answer is D

Step-by-step explanation:

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Please help me with algebra part B and C. attachment below. Will mark as brainslist. 25 points.

miv72 [106K]

Answer:

C. $(-7x+60)(x+4)$

Step-by-step explanation:

Consider the expression $-7x^2+32x+240.$

First, note that

$a=-7\\ \\b=32\\ \\c=240$

Find the discriminant

$D=b^2-4ac=32^2-4\cdot (-7)\cdot 240=1,024+6,720=7,744\\ \\\sqrt{D}=\sqrt{7,744}=88$

Now,

$x_1=\dfrac{-b+\sqrt{D}}{2a}=\dfrac{-32+88}{2\cdot (-7)}=-4\\ \\x_2=\dfrac{-b-\sqrt{D}}{2a}=\dfrac{-32-88}{2\cdot (-7)}=\dfrac{60}{7}$

Write the factored form:

$-7x^2+32x+240=-7(x-(-4))\left(x-\dfrac{60}{7}\right)=(x+4)(-7x+60)$

8 0

2 years ago

When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 973 co

HACTEHA [7]

Answer:

A. number of decayed atoms = 73.197

Step-by-step explanation:

In order to find the answer we need to use the radioactive decay equation:

$N(t)=N0*e^{kt}$ where:

N0=initial radioactive atoms

t=time

k=radioactive decay constant

In our case, when t=0 we have 1,000,000 atoms, so:

$1,000,000=N0*e^{k*0}$

$1,000,000=N0$

Now we need to find 'k'. Using the provied information that after 365 days we have 973,635 radioactive atoms, we have:

$973,635=1,000,000*e^{k*365}$

$ln(973,635/1,000,000)/365=k$

$-0.0000732=k$

A. atoms decayed in a day:

$N(t)=1,000,000*e^{-0.0000732t}$

$N(1)=1,000,000*e^{-0.0000732*1}$

$N(1)= 999,926.803$

Number of atoms decayed in a day = 1,000,000 - 999,926.803 = 73.197

B. Because 'k' represents the probability of decay, then the probability that on a given day 51 radioactive atoms decayed is k=0.0000732.

4 0

3 years ago

Solve for b: 16b = 12

Zina [86]

Answer:

b = 3/4

Step-by-step explanation:

Hi!!!

You want the value of B. To get that, we have to divide both sides by 16:

$\frac{16}{16}b =\frac{12}{16}$

$\frac{12}{16} = \frac{3}{4}$

Thus the answer to your question is $$\boxed{b = \frac{3}{4} }$ .

<u>Check:</u>

3/4 * 16 = 3 * 4 = 12.

12 = 12

So we are correct!!!

5 0

3 years ago

which function has only one x-intercept at (−6, 0)? f(x) = x(x − 6) f(x) = (x − 6)(x − 6) f(x) = (x 6)(x − 6) f(x) = (x 6)(x 6)

3241004551 [841]

<span>We have the function: f ( x ) = ( x + 6 ) ( x + 6 ) = ( x + 6 )^2. This is the square of the binomial. It has only one zero ( only one x- intercept ). When f ( x ) = 0, ( x + 6 )^2 = 0. x + 6 = 0; x = - 6. Therefore point ( - 6 , 0 ) is the only x - intercept. Answer: D ) f ( x ) = ( x + 6 ) ( x + 6 ).</span>

3 0

3 years ago

Read 2 more answers

The volume of a cylinder with a radius of 3 inches and a height of 6 inches is 56.55 in? (Use V = Tt r2h.)

NNADVOKAT [17]

False

The volume of this cylinder is actually about 169.65

6 0

2 years ago

Read 2 more answers

to solve the following equation , 7x - 2 = 12 , which of the choices below is a correct method to find the value of X￼￼￼

to solve the following equation , 7x - 2 = 12 , which of the choices below is a correct method to find the value of X