Answer: 205
Step-by-step explanation:
Initially, Jill received ballots from the student council election = 45
After, dropping ballot by Mr. Alvarez, new ballots he has = 250
Hence, The Ballots drooping by Mr. Alvarez = new ballots Jill has - Initial ballots Jill has
= 250 - 45
= 205
Therefore, Mr. Alvarez drop off 205 ballots.
Answer: No
Explanation:
According to factor theorem, if f(x)=0 then x is a factor of the given function or equation.
As x-1 is a factor
We equate x-1=0
x=1
Substituting in x^5-1, we have 1^5-1 =1-1=0.
Hence, it's a factor.
When coming to x^5+1, it would become 1^5+1=1+1=2
So x-1 isn't a factor of x^5+1.
Answer:
53.13 degrees
Step-by-step explanation:
Angle ADB is a right angle, which is given.
The measure of ADB is 90 degrees by definition of right angle.
The two angles are a linear pair (aka they're supplementary) by definition of linear pair (they're formed by two intersecting lines).
The measure of BDC is 90 because BDC + ADB = 180 (definition of linear pair), and ADB = 90 (given).
BDC = ADB because 90 = 90
Overall, the two triangles are congruent by SAS.
Equation :
This parabola is facing downwards and highest point of the parabola is it's vertex.
Highest point is (-2,2)
so the vertex is (-2,2)
The graph is passing through (-1,0)
Equation in vertex form is
Substitute back in Equation
the graph has two x intercepts -1 and -3
that means (x+1) and (x+3) are the factors
multiply factors to get the equation in standard form
-2x^2-8x-6=0
