X squared minus 18x minus 144 equals 0. Solve by factoring.

Answers

Answer 1
Answer: x^2 - 18x - 144 = 0

Factorise:

We choose 2 numbers that add to -18, and multiply to 144, these numbers are  +6 and -24, we put it into the brackets:

(x + 6)(x - 24)   <- x = the interted sign of the numbers inside the brackets

E.g. +6 turns into -6 and -24 turns into +24

x must = -6 or = +24
Answer 2
Answer: Answer got deleted because I have to explain it better, which I will kindly do.
(x^2 - 18x - 144) = 0
What two factors add up to equal -18 AND multiply to equal -144?
For a product to be a negative, one of the factors have to be a positive, and the other has to be a negative (positive times a negative equals a negative). 
And now that we know that, we know that the negative number has to be larger than the positive because of the -18. 
What two factors add up to equal -18 AND multiply to equal -144?
Negative 24 and positive 6.
(x - 24)(x + 6)

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What is the equation of the graphed line? Hint: Determine the slope of the line =  x .

Answers

y=-5x

you can use point slope or slope intercept to find this one. i did it by using slope intercept, y=mx+b
b in this case is 0, and then to find m you use (y-y)/(x-x) or (-5-0)/(1-0) = -5

Which of the following is an arithmetic sequence?2, 4, 8, 16,...
12, 4, 4/3, 16/3...
1/2, -1/2, -3/2, -5/2 ...
1/2, -1/2, 1/2, -1/2 ...

Answers

Answer:

The third sequence.  

Step-by-step explanation:

In an arithmetic sequence, the difference between two consecutive terms is the same.

For each option, find the difference between consecutive terms:

First option:

  • 4 - 2 = 2.
  • 8 - 4 = 4.
  • 16 - 8 = 8.

The differences are not the same. As a result, this option is not an arithmetic sequence.

Second option:

  • 4 - 12 = -8.
  • \displaystyle (4)/(3) - 4 = -(8)/(3).
  • \displaystyle (16)/(3) - (4)/(3) = (12)/(3) = 4.

The differences are not the same. As a result, this option is not an arithmetic sequence, either.

Third option:

  • \displaystyle -(1)/(2) - (1)/(2) = -1.
  • \displaystyle -(3)/(2) - \left(-(1)/(2)\right) = -(3)/(2) + (1)/(2) = -1.
  • \displaystyle -(5)/(2) - \left(-(3)/(2)\right) = -(5)/(2) + (3)/(2) = -1.

The differences are all -1. As a result, this option is indeed an arithmetic sequence. Its common difference is (-1).

Fourth option:

  • \displaystyle -(1)/(2) - (1)/(2) = -1.
  • \displaystyle (1)/(2) - \left(-(1)/(2)\right) = (1)/(2) + (1)/(2) = 1.
  • \displaystyle -(1)/(2)\right - (1)/(2) = -1.

The differences are varying between 1 and -1. As a result, this option is not an arithmetic sequence.

Answer: Number 3. (1/2, -1/2, -3/2, -5/2 ...)

Step-by-step explanation:

1/2 - 1 = -1/2. -1/2 - 1 = -3/2. Etc.

Write 21.5 in word form

Answers

twenty-one and five tenths
Twenty-one point five

A month of the year is chosen at random. What is the probability that the month starts with the letter J or m5/24

1/6

1/4

5/12​

Answers

The answer is 5/12 (D) because only 5/12 months start with J it M
The answer would be 5/12 because there are 12 months in a year and out of those 12, 5 of those months start with a J or M

There are 30 peices of fruit in a bowl and 12 of them are apples. what percentage of the pieces of fruit in the bowl are apples​

Answers

Answer:

40%

Step-by-step explanation:

12/30. 12/30=40% So the answer to your question is the percentage of apples in the fruit bowl is 40%

Answer:

40%

Step-by-step explanation:

12/30. 12/30=40% So the answer to your question is the percentage of apples in the fruit bowl is 40%

Variable a is 4 more than variable b. Variable a is also 1 less than b. Which of the following pairs of equations best models the relationship between a and b? (4 points)
A a = b + 4 a = b – 1
B a = 4b a = b + 1
C b = a + 4 b = a – 1
D b = 4a b = a + 1

Answers

A is the correct answer.
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