All categories

2 years ago

Add: (3x2 - 5x + 6) + (9 - 8x - 4x2) A) 12x2 - 13x + 2 B) 7x2 + 3x - 3 C) 7x2 - 13x + 15 D) -x2 - 13x + 15

Mathematics

1 answer:

kati45 [8]2 years ago

4 0

Answer:

Step-by-step explanation:

So we have the expression:

$(3x^2-5x+6)+(9-8x-4x^2)$

Combine like terms:

$=(3x^2-4x^2)+(-5x-8x)+(6+9)$

Add or subtract:

$=(-1x^2)+(-13x)+(15)$

Simplify:

$=-x^2-13x+15$

Our answer is D

You might be interested in

Complete the equation. (x-2)(x^2 + 2x + 4) = ( , )

yanalaym [24]

Answer:

Step-by-step explanation:

x(x² + 2x + 4)-2((x² + 2x + 4)

x³+2x²+4x -2x²-4x-8

x³-8

6 0

1 year ago

Willow has a recipe that asks her to use 3/4 cup of sugar. She is going to make 1/2 of the recipe, so she only needs 1/2 of that

Novosadov [1.4K]

Answer:

3/8ths cup

Step-by-step explanation:

take 3/4 and times that by 2 then you get 6/8th and then take half of the 6 out and get 3/8th

5 0

2 years ago

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=30, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

3 0

2 years ago

The sum of two numbers is 65 one is 4 times as large as the others.what are the numbers?

bixtya [17]

let the numbers be n and m

n+m=65

n=4m

So when we put our work in:

4m+m=65

5m=65

m=13

n=52

So therefore your two numbers are 52 and 13!

Hope this helped! °ω°

6 0

2 years ago

A loan of 900 will be repaid in 36 installments of 30.22what is the finance charge of the loan

Ivanshal [37]

The cost of renting their money is $187.92 . The interest rate is about 14%.

5 0

2 years ago