Which is a solution to the equation?(x −2)(x + 5) = 18

x = −10
x = −7
x = −4
x = −2

Answers

Answer 1
Answer: If you would like to know the solution to the equation (x - 2) * (x + 5) = 18, you can calculate this using the following steps:

(x - 2) * (x + 5) = 18
x^2 + 5x - 2x - 10 = 18
x^2 + 3x - 28 = 0
(x + 7) * (x - 4) = 0
1. x = - 7
2. x = 4

The correct result would be x = - 7.
Answer 2
Answer:

The solutions to the equation are x = - 7 and x = 4

What are equation solutions?

Equation solutions are the true values of x in the equation

The equation is given as:

(x - 2)(x + 5) = 18

Expand the equation

x^2 + 5x - 2x - 10 = 18

Subtract 18 from both sides

x^2 + 3x - 28 = 0

Factorize the expression

(x + 7) * (x - 4) = 0

Solve for x

x = - 7 and x = 4

Hence, the solutions to the equation are x = - 7 and x = 4

Read more about quadratic equations at:

brainly.com/question/8649555


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Find the product.(7x - 6)2
A. 49x2 + 36
B. 49x2 - 84x + 36
C. 7x2 - 84x + 36
D. 7x2 + 36

Answers

When we square brackets, it is always advised to write out the brackets fully.
(7x - 6)² becomes
(7x - 6)(7x - 6)

Next, we follow FOIL
First (The first term in the set 1 multiplied by the first term in set 2)
Outer (The first term in set 1 multiplied by the second term in set 2)
Inner (The second term in set 1 multiplied by the first term in set 2)
Last (The second term in set 1 multiplied by the second term in set 2)

F   7x  x  7x = 49x²
O  7x  x  -6  = -42x
I    -6  x  7x  = -42x
L
  -6  x  -6  = 36

Now, we add together all the terms

49x² + -42x + -42x +36

Adding a negative is the same as subtracting

49x² - 42x - 42x + 36

Finally, simplify (add together the like terms)

49x² -84x + 36

Answer:

Option B: 49x² -84x + 36

Step-by-step explanation:

How many packages will 5 1/2 pounds of raisins fill if each package holds 9 ounces

Answers

well there are 16 ounces in a pound... so u need to have 16 x 5 = 80 and 16 x 1/2 = 8 so 80 + 8 = 88. then u need to do 88 ÷ 9 which would equal less than 10 but greater than nine, so u need to round it to the next whole number so it would be 10 because its okay if one container isn't completely full

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Answers

Answer: Just follow the chart

Step-by-step explanation:

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Answers

There are 10 total marbles and three are pink. So you are to determine the probability of choosing a pink marble, placing it back in the bag and choosing another pink marble.
The probability of choosing a pink marble is # of pink marbles to # of all marbles which is 3/10. Since we place the marble back in the bag, the probability is the same for the second time.
To determine the probability of both occurrences, we need to multiply 3/10 x 3/10 which is 9/100. This can be written as 9:100 as a ratio.

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Answers

Answer:y=9

Step-by-step explanation:

Find the probability that a number selected at random from the numbers 1 to 25 is not a primenumber when each of the given numbers is equally likely to be selected.

#no irrelevant answer

Answers

Given:

  • A number is selected at random from the numbers 1 to 25.
  • Each of the given numbers is equally likely to be selected.

To Find:

  • Probability that the number is not a prime number.

Solution:

Required Sample space of the following event ( Non- prime numbers between 1 to 25 )

\dashrightarrow 1, 4, 6, 8,9 10,12, 14, 15, 16,18, 20, 21, 22, 24, 25

Number of Favourable Outcomes = 16

Total number of outcomes = 25

Now as we know

Probability of an event =

\star\;\boxed{\sf{\pink{( Favourable\; number\;of\; outcomes)/(Total\; number\;of\; outcomes)}}}

Probability = 16/25

Hence, probability that the number is not a prime number is 16/25.

Answer:

Favourable outcomes = {1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25}

Number of favourable outcomes=16

Number of total possible outcomes=25

p(not a prime) = (number of favourable outcomes) / number of total possible outcomes

=16/25