MATHEMATICS HIGH SCHOOL

2x +1 = 5
List the 2 steps to solve and the
solution.

Answers

Answer 1
Answer: 2x = 4
x= 2

U first subtract 1 on both sides to combine like terms
Answer 2
Answer:

Answer:

(This way you have to solve for x)

way 1

step 1: 2x+=5

step 2: 2x=5-1

step 3: 2x=4

answer x=2

(This way you have to solve by rewriting in standard form)

way 2

step 1: 2x+1=5

step 2: 2x=5-1

step 3: 2x=4

answer x=2

Step-by-step explanation:

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Find the mean of this set of numbers.9, –6, –8, 11, –4, 10 A. 48 B. 2 C. 12 D. 8

GCF of 24s^3, 12s^4, and 18s

Answers

Answer:

6s

Step-by-step explanation:

Which of the binomial below is a factor of this trinomial 4x^3-20x^2+24xa) x+3
b)x-3
c)2x-3
d)2x+3

Answers

4x^3-20x^2+24x

4x (x^2-5x+6)

4x(x-2)(x-3)

(b)x-3
b) x - 3

see attached for proof

A jar contains five red marbles and three green marbles. A marble is drawn at random and notreplaced. A second marble is then drawn from the jar.1) Find the probability that the first marble is red and the second marble is green.
2) Find the probability that both marbles are red.
3) Find the probability that both marbles are the same color.

i dont understand how to find 2 & 3, can someone explain please? thank you

Answers

1)\nA-the\ first\ marble\ is\ red\ and\ the\ second\ marble\ is\ green\n\nP(A)=(5)/(8)\cdot(3)/(7)=(15)/(56)\n\n2)\nB-goth\ marbles\ are\ red\n\nP(B)=(5)/(8)\cdot(4)/(7)=(5)/(2)\cdot(1)/(7)=(5)/(14)\n\n3)\nC-both\ marbles\ are\ the\ same\ color\n\nP(C)=(5)/(8)\cdot(4)/(7)+(3)/(8)\cdot(2)/(7)=(20)/(56)+(6)/(56)=(26)/(56)=(13)/(28)

Charlie has a piece of toast that has cream cheese on one side, and he dropped it once. One time, it landed with the cream cheese side up. If he drops it two more times, what is the probability that it will have landed cream cheese side up a total of three times?one over four
one over three
one over eight
three over four

Answers

Answer: first option, 1/4.

Explanation:

1) Every drop is an independent event. So, the joint probability is the product of the individual probabilities.

2) The fact that the piece ot toast landed once time with the cream cheese side up, does not affect the next two drops.

3) Since, the piece of toast landed the first time with cream cheese side up, the probability that it it will have landed cream cheese side up a total of three times is the probability that it will have landed two more times with cream cheese side up.

3) The probability that the piece of toast will have landed cream cheese side up two more times is 1/2 × 1/2 = 1/4. And that is the answer to the question.
Just multiply the probability of each instance together (in fraction form). 1/2 * 1/2 * 1/2 = 1/8.
However, be aware that this only works because it asked what the probability of it happening three times in a row. For example, if the question read, "What is the probability of this piece of bread landing butter side down, assuming it has already landed three times butter side down?", the answer would be 1/2 because the probability of previous incidents do not actually physically affect a future test.

Use the quadratic formula to solve 2y2 – 10y + 8 = 0.

Answers

2y^2-10y + 8 = 0\n \na=2, \ b=-10 , \ c= 8 \n \n\Delta =b^2-4ac = (-10)^2 -4\cdot2\cdot 8 = 100-64=36 \n \nx_(1)=(-b-√(\Delta) )/(2a)=(10-√(36))/(2\cdot 2 )=( 10-6)/(4)=(4)/(4)= 1\n \nx_(2)=(-b+√(\Delta) )/(2a)=(10+√(36))/(2\cdot 2 )=( 10+6)/(4)=(16)/(4)= 4

Which ones are functions?

Answers

Answer:

1 and 4

Step-by-step explanation:

All the other options have corresponding x-values

Answer:

The first and fourth options

Step-by-step explanation:

If it's a function no input and have more than one output.
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