Given f(x) = 3x - 2, find f(-6).

16. PHYSICS The formula h = 1201 - 16t2 gives the height h in feet of an object 1 seconds after it is shot upward from

Murrr4er [49]

<h3><u>Question:</u></h3>

The formula h = 120t-16t^2 gives the height h in feet of an object t seconds after it is shot upward from Earth's surface with an initial velocity of 120 feet per second. What will the height of the object be after 6 seconds?

<h3><u>Answer:</u></h3>

The height of object after 6 seconds is 144 feet

<h3><u>Solution:</u></h3>

<em><u>The formula that gives the height of an object is:</u></em>

$h = 120t - 16t^2$

Where,

h is the height in feet and t is the time in seconds

To find: height of the object be after 6 seconds

To find the height of the object be after 6 seconds, substitute t = 6

$h = 120 \times 6 -16(6)^2\\\\h = 720 - 16 \times 36\\\\h = 720 - 576\\\\h = 144$

Thus height of object after 6 seconds is 144 feet

3 0

3 years ago

According to the fundamental theorem of algebra, how many roots does the polynomial f(x)=x4+3x2+7 have over the complex numbers,

Finger [1]

ANSWER

4 roots.

EXPLANATION

The given polynomial function is

$f(x) = {x}^{4} + 3 {x}^{2} + 7$

This is a fourth degree polynomial.

According to the Fundamental Theorem of Algebra, an nth degree polynomial has n roots.

This roots include both real and complex roots.

Also repeated roots or roots with multiplicity greater than one are counted as distinct.

Since the given polynomial function is a fourth degree polynomial, the Fundamental Theorem of Algebra, says that this polynomial has 4 roots.

8 0

3 years ago

What is the angle measurement of angle DBC?<br> Help please

Andreyy89

45 _____________________\_

6 0

3 years ago

Lmk asap please cuz I need it by tonight

OLEGan [10]

Answer: 20

Step-by-step explanation:

2x^2 + 4y=

2(2)^2 + 4(3)=

2(4)+12=

8+12=20

7 0

2 years ago

Brooklyn has a goal to save $8,000 to buy a new entertainment system. In order to meet that goal, she deposited $4,132.79 into a

densk [106]

To see how much interest she'll get after a quarter:

$4132.79 + ($4132.79 × 0.048) = $4331.16

After two quarters:
$4331.16 + ($4331.16 × 0.048) = $4359.06

You can keep going until eventually reaching $8000 then see how many quarters has passed. That's a lot of calculator work!

There's another way that uses less calculation, but more algebra. I call it the exponential formula method! There's this general formula for stuff that increases exponentially, like virus, population, and MONEY:

$m= d {e}^{tc}$

M is money, d is deposit, t is time taken, and c is just some unknown constant related to the interest rate. There's also the natural logarithm form of this equation, which will come in handy later:

$ln( \frac{m}{d} ) = tc$

Alright first we gotta find that constant c for this equation to be useful! Let's plug in stuff we know.

$ln( \frac{4331.16}{4132.79} ) = (0.25)c$

We know how much she'll have after one quarter (0.25 years), and we know how much she deposited initially.

After pressing some buttons on the calculator we'll find that c = 0.1875.

Great! Now we can use that formula to find how many years (t) it'll take to reach M=$8000. To save time I'm going to use the natural log form:

$ln( \frac{8000}{4132.79} ) = t(0.1875)$

That will give us t = 3.522 which means it'll take approximately 3.5 years for her deposit to reach $8000!

5 0

3 years ago

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