For this case we must factor the following expression:
To factor, we must find two numbers that when added together give -7 and when multiplied by -10.
It is observed that there are not two whole numbers that comply with the aforementioned.
Thus, the following equation applies:
Where:
We replace:
So, the roots are:
Answer:
Answer:
Option A
Step-by-step explanation:
Here is how to approach the problem:
We see that all our restrictions for all four answer choices are relatively the same with a couple of changes here and there.
One way to eliminate choices would be to look at which restrictions don't match the graph.
At x<-5, there is a linear function that does have a -2 slope and will intersect the x axis at -7. The line ends with an open circle, so any answer choice with a linear restriction of x less than or equal to -5 is wrong. This cancels out choices C and D.
Now we have two choices left.
For the quadratic in the middle, the vertex is at (-2,6) and the vertex is a maximum, meaning our graph needs to have a negative sign in front of the highest degree term. In our case, none of our quadratics left are in standard form, and instead are in vertex form.
Vertext form is f(x) = a(x-h)^2 + k.
h being the x-coordinate of the vertex and k being the y-coordinate.
We know that the opposite of h will be the actual x-coordinate of the vertex, so if our vertex is -2, we will see x+2 inside the parenthesis. This leaves option A as the only correct choice.
Answer:$100
Step-by-step explanation:
He need five periods of play time because 150 divided my 30 is 5. Then, you multiply 5 times the $20 because it is $20 for every 20 minutes.
Therefore, the answer is 20.
"−5 − 4i" is the one among the following expressions given in the question that <span>is the conjugate of a complex number with −5 as the real part and 4i as the imaginary part. The correct option among all the options that are given in the question is the third option. I hope that this is the answer that has helped you.</span>
It is asking for the tangent ratio at B.
In my answer; angle=theta
tan(theta)=opposite/adjacent
tan(theta)= 3/2
