All categories

3 years ago

consider the polynomial 2/3x (2x-3) - (x-7) (x+7) when simplified, what is the coefficent of the quadratic term?

Mathematics

1 answer:

Svet_ta [14]3 years ago

4 0

Answer:

x^2 - 6x + 147 so the coefficient is 1

Step-by-step explanation:

First, simplify the equation.

1. 2/3x(2x-3) = (2x/3)(2x-3)-(x-7)(x+7)

2. 2x-3(2x/3) = (2x(2x-3)) - (x-7)(x+7)

3. Expand -(x-7)(x+7) = -x^2+49

Combine to get (x^2 - 6x)/3 +49

Simplify to get x^2 - 6x + 147. The coefficient of the quadratic term is one.

You might be interested in

red roses cost $3 each . Pink roses cost $2 each . A man buys 24 flowers for his wife with some pink roses and the rest red rose

UNO [17]

Let the no. of red rose be R,
Let the no. of pink rose be P.
$3*R+$2*P = $68
R+P=24

R=24-P
3(24-P)+2P=68
72-3P+2P=68
P=4
R=20

6 0

4 years ago

Read 2 more answers

A manufacturer produces a large number of toasters. From past experience, the manufacturer knows that approximately 1% are defec

evablogger [386]

Answer:

The probability is 0.9106

Step-by-step explanation:

The variable that says the number of defective toasters follows a binomial distribution, where we have n identical and independent events (50 toasters) with a probability p of success (1% are defective) and a probability 1-p of fail (99% are not defective). So the probability that x toasters from the 50 are defective is:

$P(x) = \frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x} \\P(x) = \frac{50!}{x!(50-x)!}*0.01^{x}*(1-0.01)^{50-x}$

Then, the probability P that no more than one of these toasters is defective is:

P = P(0) + P(1)

So, P(0) and P(1) are calculated as:

$P(0)=\frac{50!}{0!(50-0)!}*0.01^{0}*(1-0.01)^{50-0}=0.6050$

$P(1)=\frac{50!}{1!(50-1)!}*0.01^{1}*(1-0.01)^{50-1}=0.3056$

Finally, P is equal to:

P = 0.6050 + 0.3056 = 0.9106

3 0

3 years ago

F(x) = -16x2- 4x+ 382 find x

Vika [28.1K]

Answer:

calculator that what I got 56

Step-by-step explanation:

4 0

3 years ago

Yesterday, Chau had m baseball cards. Today, he gave 5 away. Using m , write an expression for the number of cards Chau has left

guapka [62]

If m = baseball cards he had yesterday, and today he got rid of 5, the expression is equal to

m - 5 = x.

As an example of what the answer is, replace m with 10.

If he had 10 baseball cards and gave away 5 today, x = 5.

The answer is m - 5 = x.

5 0

3 years ago

8.1 = 0.9a<br><br> Help? What is the answer?

zubka84 [21]

I believe a=9
You divide a by 0.9 to get the variable alone. Then you divide 8.1 by 0.9 as well. What you do to the one side u must do to the other side. Therefore you should get A=9
Hope it helps :)

7 0

3 years ago