The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?x^2 + x = 42
x^2 + 2x = 42
x^2 + x + 42 = 0
x^2 + 2x + 42 = 0

Answers

Answer 1
Answer:

Answer:

The correct answer is x^2 + x = 42.

Step-by-step explanation:

First, we need to declare the unknown, as usual we will use x for the number. Then, the square of the number will be x^2. Following the order of the statement we have that x + x^2 =42. Here we have ‘‘translated’’ the term the sum in the mathematical operation of addition. Moreover, we convert the fact that the sum of a number and its square is 42 in a equality. This is the explanation of the equation x + x^2 =42.

Finally, using that the addition is commutative we have that x^2+x=42.  

Answer 2
Answer: x^2 + x = 42

sum indicates addition
a number = x
it's square = x^2

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Multiply. Write your answer in simplest form.

2 1/2 x 3 2/3

Answers

2 (1)/(2) * 3 (2)/(3) = (5)/(2) * (11)/(3)
                    =  (55)/(6)
                    =  9 (1)/(6)

Answer:

9^1/6

Step-by-step explanation:

23 means 3 · 2

True or false

Answers

False I'm pretty sure buddy

How many prime numbers are there between 56 and 100?

Answers

9.

They are: 59, 61, 67, 71, 73, 79, 83, 89 & 97.

there are nine prime numbers between 56 and hundred

Jack's average in math for the first nine weeks was an 88. his second nine weeks average decreased 12.5% what was his average for the second nine weeks? please explain how you got your answer.

Answers

10% of 88 = 8.8

2.5% of 88 = 2.2

2.2 + 8.8 = 11

88 - 11 = 77

Well 10% of 88= 8.8
5% then would be 4.4, so then 2.5% would be 2.2.

So it would be 10% (8.8) + 2.5% (2.2) = 10.1

So for the second nine weeks his average decreased by 12.5% (10.1) so it would be, 88-10.1= 77.9

Answer = 77.9


Hope that's correct haha

During his tennis career in singles​ play, John won 4 fewer tournament A titles than tournament B titles and 2 more tournament C titles than tournament B titles. If he won 13 of these titles​ total, how many times did he win each​ one?

Answers

A-4=B
2+C=B
A+B+C=13

A=b+4
C=B-2
Plug in to equation 3
(B+4)+B+(B-2)=13
Rearrange
B=11/3
A=(11/3)+4= 23/3
C=(11/4)-2= 3/4

Find the distance between points at (6,11) and (-2,-4).

Answers

Answer: 17

Step-by-step explanation:

To find teh distance, you need to use the distance formula d=√((x_2-x_1)^2+(y_2-y_1)^2). Since we are given the two points, We can go ahead and plug them in and solve.

d=√((-2-6)^2+(-4-11)^2)           [subtract]

d=√((-8)^2+(-15)^2)                       [exponent]

d=√(64+225)                                  [add]

d=√(289)                                          [square root]

d=17

Now, we know the distance between the points is 17.

The distance between the points is 17