All categories

4 years ago

Simplify the following equation. (4x^2+3)-(-3x^2-x+5)

Mathematics

1 answer:

AnnyKZ [126]4 years ago

8 0

Answer:

7x² + x – 2

Step-by-step explanation:

(4x² + 3) – (–3x² – x + 5)

First, distribute the minus sign to eliminate the parentheses (negative terms become positive and vice versa):

4x² + 3 + 3x² + x – 5

Then, combine like terms:

7x² + x – 2

You might be interested in

Please help i need this ASAP<br> ( ´ﾟ,_｣ﾟ)

patriot [66]

Answer:

i mite be wrong but the 2 choice

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve y + 4 - 1 = 18

Ray Of Light [21]

Combine like terms

y+3=18

Solve

y+3=18
-3 -3

Answer: y= 15

5 0

3 years ago

Read 2 more answers

Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is and measures 24 centimeters. What is the m

prohojiy [21]

Seeing as it is a isosceles triangle, two sides are the same length as each other.
We have been given the base, at 24cm, the two other sides must be the base taken away from the perimeter;
96-24 = 72

Then because the sides are of equal length, you can divide 72 by 2 to get the final length of one of the side lengths:
72/2 = 36

The side lengths are 36cm
The base length is 24 cm,
Hope this helps! :)

4 0

4 years ago

A study conducted at a certain college shows that 54% of the school's graduates move to a different state after graduating. Find

Elenna [48]

Answer:

99.56% probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they move to a different state, or they do not. The probability of a graduate moving to a different state is independent of other graduates. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

54% of the school's graduates move to a different state after graduating.

This means that $p = 0.54$

7 randomly selected graduates

This means that $n = 7$

Find the probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

Either none moves, or at least one does. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{7,0}.(0.54)^{0}.(0.46)^{7} = 0.0044$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0044 = 0.9956$

99.56% probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

7 0

4 years ago

In the context of the BCG (Boston Consulting Group) matrix, the _____ is a poor performer that has only a small share of a slow-

Mila [183]

Answer:

d. dog

Step-by-step explanation:

The BCG matrix is a tool used to assess the performance of the products of an organization on the basis of market share and market growth.

Basically there are 4 classes of products namely; Star, cash cow, question mark and dog.

Dogs are product with low market share and low growth.

Question mark have high growth but low market share while cash cows are the products with high mark share but low growth.

Stars are products with high market share and high market growth.

Hence dog is a poor performer that has only a small share of a slow-growth market. Option d.

5 0

3 years ago