Answer:
x⁻²
Step-by-step explanation:
If y = e²ˣ, y' = 2e²ˣ.
2xe²ˣ + 2e²ˣ ≠ 0
If y = x², y' = 2x.
2x² + 2x² ≠ 0
If y = x⁻², y' = -2x⁻³.
-2x⁻² + 2x⁻² = 0
The answer is 38 degrees because for every triangle, the angles add up to 180 and the small square on the triangle represents it is a right triangle, which has 90 degrees. 38 + 52 + 90 = 180
Answer: 2.1 Find the Vertex of y = x2-17x-50
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000
Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :
y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 - 50.0
or y = -122.250
Step-by-step explanation:
Answer:
The value of radius r is 50
Step-by-step explanation:
Given as :
The measure of two circles as
Circumference = c Circumference = c'
Diameter = d Diameter = d'
Radius = r Radius = r'
And
= 5
d' = 20
∴ circumference of circle = 
= 
Or, = 
Or, 5 = 
Or, 5 = 
∴ 2 × r = 5 × 20
I.e r = 50
Hence The value of radius r is 50 Answer
Selecting 5 students to participate in a math contest would require combinations.
<u>SOLUTION:
</u>
given that, Selecting 5 students to participate in a math contest would require the calculating of a permutation or combination?
So, we need to differentiate between permutations and combinations.
Permutations - In mathematics, permutation is the act of arranging the members of a set into a sequence or order
Combinations - In mathematics, a combination is a selection of items from a collection, such that the order of selection does not matter.
So, now, for our math test, we just require students but not in an order nor with arrangements.
Hence, selecting 5 students to participate in a math contest would require combinations.
