If you were to factor you would do what my teacher likes to call reverse foil so it would look like this (x-9)(x+4) so what you do is you brainsrorm to see what multiplies what to get that and 9*4=36 so that is how you factor -36 to find the -9
Hope this helps if I'm correct if not I will try to find the answer
So the modal value is most commonly known as mode, or the most common number in a data set. So the most common number in this stem-and-leaf plot is 137
The modal value is 137
Hopes this helps!
Answer:
(- 2, 0 ) and (- 4, - 2 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = x² + 7x + 10 → (2)
Since both equations express y in terms of x we can equate them, that is
x² + 7x + 10 = x + 2 ( subtract x + 2 from both sides )
x² + 6x + 8 = 0 ← in standard form
(x + 2)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 4 = 0 ⇒ x = - 4
Substitute these values into (1) for corresponding values of y
x = - 2 : y = - 2 + 2 = 0 ⇒ (- 2, 0 )
x = - 4 : y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
Solutions are (- 2, 0 ) and (- 4, - 2 )
hello! have a nice day :D
Both of these have the same number of solutions (which is 2)
Remember that |5x + 6| means "the absolute value of the expression '5x + 6'", so in this case, 5x + 6 could equal 41 or -41 since the absolute value would "strip away" the positive or negative sign and leave just the number
So, if you solve:
5x + 6 = 41
5x = 41 - 6 = 35
x = 35 / 5 = 7
5x + 6 = -41
5x = -41 - 6
5x = -47
x = -47 / 5
Do the same thing for the other expression:
2x + 13 = 28
2x = 28 - 13 = 15
x = 15 / 2
2x + 13 = -28
2x = -28 - 13
2x = -41
x = -41 / 2
So, both of these expressions have two solutions.
Hope this helps!
Good luck.
