MATHEMATICS MIDDLE SCHOOL

If the quadratic equation x^2 + 18x +74=0 is rewritten in the form (x-p)^2 = Q what is the value of Q?A) -155

B) -74

C) 7

D) 9

Answers

Answer 1
Answer:

If the quadratic equation x^2 + 18x +74=0 is rewritten in the form (x-p)²= Q. Then the value of Q is 7.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Given

The quadratic equation \rm x^(2) + 18 x + 74 = 0.

How to find the value of Q?

If the quadratic equation \rm x^(2) +18x +74=0 is rewritten in the form

\rm (x - p)^2 = Q

Add and subtract 9² in the equation.

\rm x^2 + 18x + 9^2 - 9^2 + 74 =0

We know the formula

\rm (a + b)^2 = a^2 + 2ab + b^2

Then equation will be

\begin{aligned} \rm (x + 9)^2 - 81 + 74 &= 0\n\ \ \ \rm (x + 9)^2 - 7 &= 0\end{aligned}

Add 7 both the sides, then

\rm (x + 9 )^2 = 7

Thus the value of Q is 7.

More about the quadraticequation link is given below.

brainly.com/question/2263981
Answer 2
Answer:

The value of Q "option C) 7" is correct option.

Step-by-step explanation:

The given quadratic equation:

x^2 - 18x +74=0

To find, the value of Q = ?

x^2 - 18x +74=0

Adding both sides 81, we get

x^2 - 18x +81+74=81

⇒ x^2 - 2(x)8 + 9^2 = 81 - 74

Using the algebraic identity,

(a-b)^(2) =a^(2) +b^(2) -2ab

⇒ (x-9)^(2) =7 is the form of  (x-p)^2 = Q

Here, P = 9 and Q = 7

Thus, the value of Q "option C) 7" is correct option.

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Joey Chestnut is trying to break his own world record for eating the most hot dogs and buns in 101010 minutes. He needs to eat more than 72 hot dogs to break his record. After 1 minute of competition, Joey has eaten 10 hot dogs. Joey wants to know the number of hot dogs per minute that he needs to eat for the next 9 minutes to break his own record.?= Let d represent the number of hot dogs Joey eats per minute. Write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.

What is the probability of landing a 3 or 9? Write your answer as a reduced fraction

Answers

Answer:

1/3

Step-by-step explanation:

21.

Probability of an even happening is equal to the number of desired outcomes divided by the total number of outcomes.

The desired outcomes here are 3 and 9. There are two desired outcomes.

The total number of outcomes is 6.

p(event) = (number of desired outcomes)/(total number of outcomes)

p(3 or 9) = 2/6 = 1/3

Jamie put 8 squares together to make a rectangle. There are 2 rows of squares. Each row has 4 squares. How many pairs of sides touch each other in the rectangle?

Answers

2! Because there is 8 in total and when u split it up equally you get 4 and when u put 4 and 4 together it has two rows together!
There would be 4 squares touching because if there are 2 rows of four squares to make the rectangle then the sides touching each other would equal 4.

List all of the prime numbers less than 20 in numerical order

Answers

a prime number is a number only divisible by itself and 1 (this excludes decimals and fractions)

surprise, 1 is not prime because it must be divisible by itself and 1 and the factors of 1 are 1 and 1 so 1 is not prime

2 is prime because it is the first even counting number and since all even numbers after 2 are divisble by 2 you can cross out all odd numbers after 2
3 is prime because it is the first odd counting number that satisfies the condition
4 is not because it is even
5 is prime
6 is not because it is even
7 is prime
8 is not because it is even
9 is not
10 is not because it is even
11 is prime
12 is not because it is even
13 is prime
14 is not because it is even
15 is not
16 is not because it is even
17 is prime
18 is not because it is even
19 is prime
20 is not because it is even

so the numbers are 2,3,5,7,11,13,17,19
19, 17, 13, 11, 7, 5, 3, 2

What is the ratio of x to y?

Answers

2/3 = x/(3x + y)

2*(3x + y) = 3*x

2*3x + 2*y = 3x

6x + 2y = 3x

6x - 3x = - 2y

3x = -2y

x/y = -2/3

x : y =  -2/3. 

2.4z+1.2z-6.5=0.7 I don't get it

Answers

Basically that answer is incorrect. If you'd learn about combining, multiplying, dividing or subtracting like terms, this will be a simple problem. To be specific, like term is a number with a letter with it.

For example, 2.4z is a like term.

so you can only add like term, not any other normal number. When two terms have the same "letter", you will have to do what the sign said so in the problem....

2.4z + 1.2z - 6.5 = 0.7
3.6z - 6.5 = 0.7 (Add but leave the z alone because you are not multiplying)

The final answer is 3.6z - 6.5 because you cannot do anything else to that problem.

3.6z-6.5=0.7 is not true.

a particular school has a teacher to a student ratio of a 1 teacher to 11 students. Are there more teachers or students explain how u know.

Answers

Read it carefully. It's telling you the answer in the problem! There is one teacher for every 11 students. Of course there are more students! 
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