Answer: x = 5
Step-by-step explanation: First subtract 20 - 5 to get 15
then divide 15 by 3 to get 5 which is the answer
hope this helps mark me brainliest if it helped
Answer:
Axis of Symmetry is x = 2
Vertex is (2, -9)
X Intercepts are (5, 0) and (-1, 0)
Step-by-step explanation:
Quadratic Equation is in standard form. Formula find the x value of the vertex in standard form is -b/2a
a=1
b=-4
c=-5
--4/2(1) = 2
Plugin to find the y value of the vertex.
2^2-4(2)-5=y
4-8-5=y
y = -9
The x value of the vertex (in this case is 2) is the axis of symmetry. Therefore the axis of symmetry is x=2
Factor the equation to put into intercept form.
(x-5)(x+1) = y
The equation can be FOIL-ed to get back to standard form.
Separate the 2 parentheses and whatever can cancel the parentheses are your intercepts.
For (x-5) your intercept is (5, 0)
For (x+1) your intercept is (-1, 0)
The x intercepts are where the parabola will cross the x axis on the graph.
Answer:
The total distance the group ran can be represented by d > 400 m
Step-by-step explanation:
The total distance the group ran can be got by summing up all the individual distances ran by each athlete.
Let the distance the first athlete ran be x
from the question, we know that x >100 m
since all four athletes ran the same distance, the total distance run , d will be four times the distance ran by an athlete.
d > 4 X 100
d > 400 m
Answer:
Option B.
Step-by-step explanation:
The given curve is

We need to find the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve
.
Let the vertex in quadrant I be (x,y), then the vertex in quadrant II is (-x,y)
.
Length of the rectangle = 2x
Width of the rectangle = y
Area of a rectangle is


Substitute the value of y from the given equation.

.... (1)
Differentiate with respect to x.

Equate
, to find the critical points.


Divide both sides by 6.


The value of x can not be negative because side length can not be negative.
Substitute x=3 in equation (1).



The area of the largest rectangle is 108 square units.
Therefore, the correct option is B.
So all you have to do here is,
Whats 5% of 4321
Witch = $216.05