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3 years ago

How many Solutions are in the equation 3n(2n-8)=24-6n

Mathematics

1 answer:

neonofarm [45]3 years ago

6 0

Answer:

two (n = 4, and n = -1)

Step-by-step explanation:

Let's solve it as follows:

First, we can divide out the common factor of 3 from each side, to get:

n(2n-8) = 8 -2n

Next, we expand, and move all the terms over to the right hand side (so that we have 0 on the LHS - as this is how we will want to solve the quadratic equation):

2n^2 - 8n - 8 +2n = 0

2n^2 - 6n - 8 = 0.

We also see we can further simplify by dividing out the factor of 2, to get:

n^2 -3n -4. = 0

Next, as this is a quadratic, the usual next step is to factorise, to get:

(n-4)(n+1) = 0

So we see that n = 4 and n = -1 are the two solutions.

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You invest $500 in an account that has a annual interest rate of 5%, compounded quarterly for four years. What is the equivalent

posledela

Answer:

1.25% and 16 times

Step-by-step explanation:

Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.

Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.

3 0

3 years ago

Which of the following is an equation of the line that crosses through (-3,4) and (3,6)?

Mama L [17]

Answer:

y=(1/3)x+5

Step-by-step explanation:

Slope-intercept: y=mx+b

m=((y2-y1)/(x2-x1)) = (6-4)/(3+3)= 2/6= (1/3)

y=(1/3)x+b

plug in one of the points (3,6)

6=(1/3)(3)+b

6=1+b 5=b

6 0

3 years ago

A special deck of cards has ten cards. Four are green (G), four are blue (B), and two are red (R). When a card is picked, the co

a_sh-v [17]

Answer:

{GT, GH, BT, BH, RT, RH};

1 /5;

Mutually exclusive ;

Not mutually exclusive.

Step-by-step explanation:

Given :

Green cards, G = 4

Blue cards, B = 4

Red cards, R = 2

For a coin toss :

{H, T}

A card is picked, then a coin is tossed :

Sample space :

{GT, GH, BT, BH, RT, RH}

2.) probability of picking a green card, then probability of landing a head on a coin toss

P(A) = number of required outcome / Total possible outcomes

P(A) = P(green card) * P(Head)

P(A) = (4 / 10) * (1/2)

P(A) = 4 /20

P(A) = 1/5

C.)

Both A and B are mutually exclusive, since both event A and event B cannot occur together, since both red and green cannot be picked during a single pick, this either a red is picked or green is picked, then they are A and B are mutually exclusive.

D.) Event A and C are not mutually exclusive, picking a green card, event A and picking a red or blue card, event B. Both event can happen simultaneously, hence, event A and B are not mutually exclusive.

6 0

3 years ago

Find the inequality represented by the graph

xeze [42]

Answer:

Step-by-step explanation:

3 0

3 years ago

A bakery can make 30 donuts every 15 minutes. What is the unit rate at which the bakery makes donuts?

sesenic [268]

Answer:

Your answer is 2/1. 2 donuts every minute.

Step-by-step explanation: The rate you are given is 30 donuts every 30 minutes. This equals 30/15.

To make a unit rate, you must make the fraction have a ratio of x/1. You can simply do this by dividing and/or simplifying the equation 30/15.

4 0

3 years ago