All categories

3 years ago

Given the following perfect square trinomial, fill in the missing term. (2 points) 4x2 + 16x + _____

Mathematics

1 answer:

alukav5142 [94]3 years ago

7 0

4x2+16x+ use the term b

You might be interested in

Given s left parenthesis t right parenthesis equals 5 t squared plus 5 ts(t)=5t2+5t, find

finlep [7]

Answer:

The velocity function is $v(t)=10t+5$ .

The acceleration function is $a(t)=10$ .

When t = 44, the velocity is $v(44)=445 \:\frac{ft}{s}$ .

When t = 44, the acceleration is $a(44)=10\: \frac{ft}{s^2}$ .

Step-by-step explanation:

We know that the position function is given by

$s(t)=5t^2+5t$

Velocity is defined as the rate of change of position or the rate of displacement. If you take the derivative of the position function you get the instantaneous velocity function.

$v(t)=\frac{ds}{dt}$

Acceleration is defined as the rate of change of velocity. If you take the derivative of the instantaneous velocity function you get the instantaneous acceleration function.

$a(t)=\frac{dv}{dt}$

The instantaneous velocity function is given by

$v(t)=\frac{d}{dt} s(t)=\frac{d}{dt}(5t^2+5t)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(5t^2\right)+\frac{d}{dt}\left(5t\right)\\\\\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}\\\\v(t)=10t+\frac{d}{dt}\left(5t\right)\\\\\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dt}\left(t\right)=1\\\\v(t)=10t+5$

The instantaneous acceleration function is given by

$a(t)=\frac{dv}{dt} =\frac{d}{dt}(10t+5)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\a(t)=\frac{d}{dt}\left(10t\right)+\frac{d}{dt}\left(5\right)\\\\a(t)=10$

To find the velocity and acceleration when t = 44, we substitute this value into the velocity and acceleration functions

$v(44)=10(44)+5\\v(44)=445 \:\frac{ft}{s}$

$a(44)=10\: \frac{ft}{s^2}$

6 0

3 years ago

What is 0.30214 rounded to 2 significant<br> figures.

Sati [7]

Answer:

0.30

Step-by-step explanation:

You only need to significant figures which means two numbers following the decimal point for this problem. No rounding is necessary as no numbers are over five following your first two digits past the decimal place.

6 0

2 years ago

Someone help pleasee

Semenov [28]

Answer:

a horizontal translation 3 units to the right because-3 has been added to the exponent

3 0

3 years ago

Rewrite using scientific notation: 512

beks73 [17]

512 = 5.12 x 10^2...

8 0

3 years ago

Expanded form of the number is ten million more than 280,509,031

PIT_PIT [208]

280, 509,031 + 10,000,000 = 290, 509,031

200,000,000 + 90,000,000 + 500,000 + 9,000 + 30 +1 is your answer

hope this helps

7 0

3 years ago