9514 1404 393
Answer:
x = -7, x = 9
Step-by-step explanation:
We presume your equation is ...
x² -2x -63 = 0
Factors of -63 that have a sum of -2 are -9 and +7. Then the factored equation is ...
(x -9)(x +7) = 0
Solutions make the factors zero.
x -9 = 0 ⇒ x = 9
x +7 = 0 ⇒ x = -7
The solutions to the quadratic equation are x = -7 and x = 9.
Question 1.x - 7 > - 8
Adding 7 to both sides, we get:
x - 7 + 7 > - 8 + 7
x > -1
Thus the answer to the inequality is option Fourth.Question 2.
A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:
x is greater than 66
x > 66
So, option 1st gives the correct answer.Question 3.The tiles are square shaped and area of a square can be calculated as the square of its Length.
Area of square = (Length)²
If we are given the Area, we can find the length as:
Length =
For Tile A, the length will be:
So length is a Rational number
For Tile B, the length will be:
So length is a Rational number
For Tile C, the length will be:
So, Length is not Rational.
For Tile D, the length will be:
Length is not Rational
Thus, the lengths of Tile A and Tile B are rational only.
Therefore, the correct answer is 1st option
Answer:
It helps you see the equation in "picture" form.
Step-by-step explanation:
When you see the inequality in a graph form, most people can benefit from seeing a different version of the same problem.
Answer:
<em>p</em> = 2
Step-by-step explanation:
Happy to help.
When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:
2(3 + 4) = 2(7), or 14.
But, the two can also be distributed into both numbers in the parenthesis, like this:
2(3 + 4) = 2*3 + 2*4
That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.
9(<em>p</em> - 4) = -18
9*<em>p</em> - 9*4 = -18
9<em>p</em> - 36 = -18
Add 36 on both sides to isolate the variable (in this case, <em>p)</em>
9<em>p</em> = -18 + 36
You can also write it like this; 9<em>p</em> = 36 - 18
9<em>p</em> = 18
Divide 9 to isolate <em>p</em>
<em>p</em> = 2
So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!
Good luck!
Hello! :)
What is the probability of choosing a pen from the first box? It is 5/10 = 1/2.
What is the probability of selecting a crayon from the second box? It is 5/8.
The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/2 = 5/16.
Hope this helped and I hope I answered in time!
Good luck!
~ Destiny ^_^
