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3 years ago

I need help ive completely forgot about like terms over the years

Mathematics

1 answer:

bearhunter [10]3 years ago

8 0

Like terms are terms that have something in common like an exponent or variable

8. 3a & 16a
9. $5x^3$ & $7x^3$
10. $6b^2$ & $b^2$
11. $12t^2$ & $4t^2$ & $2t^2$

Try 12 & 13 on your own to see if you get the hang of it - if you want me to check it ; put your answer in the comment section of my answer :))) I believe in you .

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URGENT HELP THIS IS FOR DWREAD ONLY

QveST [7]

Answer:

(-1,0) and (3,0)

Step-by-step explanation:

The x-intercepts are the points where the graph crosses the x-axis. (-1,0) and (3,0)

6 0

3 years ago

Richard has just been given an l0-question multiple-choice quiz in his history class. Each question has five answers, of which o

myrzilka [38]

Answer:

a) 0.0000001024 probability that he will answer all questions correctly.

b) 0.1074 = 10.74% probability that he will answer all questions incorrectly

c) 0.8926 = 89.26% probability that he will answer at least one of the questions correctly.

d) 0.0328 = 3.28% probability that Richard will answer at least half the questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of any other question. This means that 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.

Each question has five answers, of which only one is correct

This means that the probability of correctly answering a question guessing is $p = \frac{1}{5} = 0.2$

10 questions.

This means that $n = 10$

A) What is the probability that he will answer all questions correctly?

This is $P(X = 10)$

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

$P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} = 0.0000001024$

0.0000001024 probability that he will answer all questions correctly.

B) What is the probability that he will answer all questions incorrectly?

None correctly, so $P(X = 0)$

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

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

0.1074 = 10.74% probability that he will answer all questions incorrectly

C) What is the probability that he will answer at least one of the questions correctly?

This is

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

Since $P(X = 0) = 0.1074$ , from item b.

$P(X \geq 1) = 1 - 0.1074 = 0.8926$

0.8926 = 89.26% probability that he will answer at least one of the questions correctly.

D) What is the probability that Richard will answer at least half the questions correctly?

This is

$P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

In which

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

$P(X = 5) = C_{10,5}.(0.2)^{5}.(0.8)^{5} = 0.0264$

$P(X = 6) = C_{10,6}.(0.2)^{6}.(0.8)^{4} = 0.0055$

$P(X = 7) = C_{10,7}.(0.2)^{7}.(0.8)^{3} = 0.0008$

$P(X = 8) = C_{10,8}.(0.2)^{8}.(0.8)^{2} = 0.0001$

$P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} \approx 0$

$P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0$

$P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0264 + 0.0055 + 0.0008 + 0.0001 + 0 + 0 = 0.0328$

0.0328 = 3.28% probability that Richard will answer at least half the questions correctly

8 0

3 years ago

What two-dimensional figure will result from slicing this rectangular prism parallel to its base?

alina1380 [7]

Answer:

We will obtain a rectangle on slicing this rectangular prism parallel to it's base.

Hence, option 1) is true.

RECTANGLE.

Step-by-step explanation:

On slicing this geometrical figure; which is a rectangular prism parallel to it's base then we will obtain a figure similar to it's base of the same dimensions as it's base.

As the base of the rectangular prism is a rectangle so on slicing this 3-dimensional figure parallel to it's base we will obtain rectangles.

Hence, option 1 is true.

RECTANGLE.

8 0

3 years ago

If a boat uses 15 gallons of gas to travel 70 miles, how many miles can the boat travel on 60 gallons of gas?

astra-53 [7]

Answer:

280 miles

Step-by-step explanation:

First you multiply 15 x 4= 60 gallons. You then multiply 4 x 70=280 miles

Hope this helps!

7 0

3 years ago

Which value of x is a solution of the inequality?

avanturin [10]

Answer:

3x-3>=9=>

3x>=12=>

x>=4

5 0

2 years ago

Read 2 more answers