1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhannawk [14.2K]
3 years ago
8

Determine the zeros of f(x) when n=2. Please help I attached the image

Mathematics
2 answers:
melomori [17]3 years ago
7 0

Answer:

x=0 and -2

Notice a n=8, g(n)=0 and f(x) = 0.  If n<8, the coefficients for f(x) become negative and when n>8, the coefficients becomes positive.  It won't affect x=0 because x can be factor out and be equal to zero but will affect the second zero

Step-by-step explanation:

Given:  g(n) = 1/2*n - 4 and f(x)= g(n)x^2 + 2(g(n))x; n≠8

n = 2

g(n) = 1/2*n - 4

g(n) = 1/2*2 - 4 = 1-4 = -3

f(x)= g(n)x^2 + 2(g(n))x

f(x)= -3x^2 + 2(-3)x = -3x^2 - 6x

0=  -3x^2 - 6x; factor out -3x

0 = -3x(x + 2)

-3x = 0; x=0

(x+2)= 0; x=-2

Notice a n=8, g(n)=0 and n<8, the coefficients for f(x) become negative and when n>8, the coefficients becomes positive

zavuch27 [327]3 years ago
3 0

Answer:

398.634

Step-by-step

(3x40)200x2b

You might be interested in
A single card is drawn from a deck of 52 cards, find the following
aleksandr82 [10.1K]

Answer:

a. 1/13

b. 1/78

c. 1/4

d. 1/12

e. 1/6

f. 1/4

Step-by-step explanation:

First, lets write some basic data

  • There are total 52 cards.
  • 26 cards are red and 26 cards are black
  • Out of 26 red cards; 13 cards are of diamond and 13 cards are of heart
  • Out of 26 black cards; 13 cards are of spade and 13 cards are of clubs
  • In spade, clubs, heart and diamond there is one card of ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, King, Queen, Jack

<u>a. result is a queen</u>

<em>Each set has one queen; 1 of spade, 1 of clubs, 1 of heart, 1 of heart</em>

There are total 4 queens

Total number of cards is 52

<em>Probability = Number of favourable outcomes/total number of outcomes</em>

Probability = 4/52

Probability = 1/13

<u>b. result is a queen result is a face card </u>

<em>From my understanding, this question is result is a queen given that result is a face card.</em>

<em>Queen: 4 cards</em>

<em>Face card means King, Queen and Jack</em>

<em>Each set has one King, one Queen and one Jack</em>

<em>There are total 4 sets</em>

<em>Therefore, there are 4 Kings, 4 Queens and 4 Jacks</em>

<em>Face cards: 12-4 (because 4 queens have already been taken out) = 8</em>

<em>Total number of cards: 52-4 (because 4 queens have already been taken out) = 48</em>

Probability (A|B) = P(A) * P(A|B)

P(A) = result is a queen = 4/52 = 1/13

P(A|B) = result is a face card = 8/48 = 1/6

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/13 * 1/6

Probability (A|B) = 1/78 or 0.01282

<u>c. result is a heart</u>

<em>Out of the 52 cards, there are 26 red cards and out of the 26 red cards, there are 13 cards of heart</em>

Heart = 13 cards

Total number of cards = 52 cards

<em>Probability = Number of favourable outcomes/total number of outcomes</em>

Probability = 13/52

Probability = 1/4

<u>d. result is a heart | result is a red card </u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is a red card=26/52 Total number of red cards is 26 but 13 cards (heart) are already taken out so 13 will be subtracted from the numerator and denominator</em>

= 13/39 = 1/3

Result is a heart given that result is a red card P(A|B) = 1/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1/3

Probability (A|B) = 1/12

<u>e. result is a heart result is a black card </u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is a black card=26/52 Total number of cards is 52 but 13 cards (heart) are already taken out so 13 will be subtracted from the denominator</em>

<em>= 26/39 = 2/3</em>

Result is a heart given that result is a black card P(A|B) = 2/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 2/3 = 1/6

<u>f. result is a heart result is not a diamond</u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is not a diamond = there are 13 diamonds in a deck so cards that are not diamond are 52-13 = 39</em>

Total cards = 52 - 13 (because hearts are already taken out) = 39

= 39/39 = 1

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1 = 1/4

!!

4 0
3 years ago
Find the equation of the line that passes through (4,4) and is parallel to
Black_prince [1.1K]

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y + 2 = 0 ( subtract 3x + 2 from both sides )

y = - 3x - 2 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (3, - 4) into the partial equation

- 4 = - 9 + c ⇒ c = - 4 + 9 = 5

y = - 3x + 5 ← equation of line in form y = mx + c

6 0
3 years ago
Sue Shopper received a $749.25 discount loan to purchase a refrigerator. The loan was offered at 12% for 120 days. Find the inte
vodka [1.7K]
Dived loan and purchase to get interest
6 0
3 years ago
Read 2 more answers
Find an equation of the line having the given slope and containing the given point.
Nadusha1986 [10]
1.For each of the following, give the name of an element from Period 4 (potassium to krypton), which matches the description.
Elements may be used once, more than once or not all.. Single line text.
(1 Point)
an element that reacts with water to produce a lilac flame

2.For each of the following, give the name of an element from Period 4 (potassium to krypton), which matches the description.
Elements may be used once, more than once or not all.. Single line text.
(1 Point)
an element used as an inert atmosphere

3.For each of the following, give the name of an element from Period 4 (potassium to krypton), which matches the description.
Elements may be used once, more than once or not all.. Single line text.
(1 Point)
an element that has a valency of 3

4.Write a balanced chemical equation for the reaction between potassium and water. (Non-anonymous question). .
(1 Point)

Upload file
File number limit: 1Single file size limit: 10MBAllowed file types: Word, Excel, PPT, PDF, Image, Video, Audio
5.For each of the following, give the name of an element from Period 4 (potassium to krypton), which matches the description.
Elements may be used once, more than once or not all.. Single line text.
(1 Point)
an element with a fixed valency of 2 that not is not in group 2

HELP
4 0
2 years ago
A rock dropped on the moon will increase its speed from 0 m/s (its starting
belka [17]
<h2>Hello!</h2>

The answer is:

The correct option is the option D

g=1.63\frac{m}{s^{2}}

<h2>Why?</h2>

To calculate the acceleration, we need to use the following formula that involves the given information (initial speed, final speed, and time).

We need to use the following free fall equation:

V_{f}=V_{o}-g*t

Where:

V_{f} is the final speed.

V_{o} is the initial speed.

g is the acceleration due to gravity.

t is the time.

We are given the following information:

V_{f}=8.15\frac{m}{s}

V_{o}=0\frac{m}{s}

t=5seconds

Then, using the formula to isolate the acceleration, we have:

V_{f}=V_{o}-g*t

V_{f}=V_{o}-g*t\\\\g*t=V_{o}-V_{f}\\\\g=\frac{V_{o}-V_{f}}{t}

Now, substituting we have:

g=\frac{V_{o}-V_{f}}{t}

g=\frac{0-8.15\frac{m}{s}}{5seconds}=-1.63\frac{m}{s^{2}}

Therefore, since we are looking for a magnitude, we have that the obtained value will be positive, so:

g=1.63\frac{m}{s^{2}}

Hence, the correct option is the option D

g=1.63\frac{m}{s^{2}}

Have a nice day!

7 0
3 years ago
Other questions:
  • The table shows the pricing for four different brands of cat food. Brand Cost A $0.88 for 4 oz B $1.05 for 5 oz C $1.60 for 8 oz
    14·1 answer
  • A firm gives discounts to its customers who pay their bills on time. A customer receives a ten percent discount on the next invo
    15·1 answer
  • What is the gcf of 99 and 132?
    9·1 answer
  • 6. If Scott Hoff has a balance of $429.50 on a credit card that charges a finance charge computed at 2.5%, what is the
    5·2 answers
  • I'm in need of assistance here, please answer ASAP!
    12·2 answers
  • PLEASE HELP ME!!!!!.........
    6·1 answer
  • I need help with this
    13·1 answer
  • Please help me with this question
    7·2 answers
  • Alex is 1.6 m tall and Noah is 1.5 times as tall as Alex. How much tall is Noah in centimeters?
    14·1 answer
  • Pls answer the top one!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!