Answer: y = 2x
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = 2x - 8
Comparing with the slope intercept form, slope = 2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2
To determine the intercept, we would substitute m = 2, x = - 3 and
y = - 6 into y = mx + c. It becomes
- 6 = 2 × - 3 + c
- 6 = - 6 + c
c = - 6 + 6 = 0
The equation becomes
y = 2x
The parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.
We have given a graph of a parabola.
From the graph:
The parabola opens down.
The sign of the second difference is positive.
The coordinates of the vertex is at (1, 3)
The equation of the axis of symmetry is x = 1
The optimal value of the parabola is at y = 3
The optimal value is considered a max value.
The x-intercepts is at (-1, 0) and (3, 0)
The y-intercept is at (0, 5/2)
Thus, the parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ1
Answer:
Sum = -5.
Product = -2.5.
Step-by-step explanation:
For the general form ax^2 + bx + c = 0, the sum of the roots = - b/a and the product of the roots = c/a.
We have 2x^2 +10x - 5 = 0 so and the sum = -10/2 = -5 and the product = -5/2 = -2.5.
Answer:
b) 24
Step-by-step explanation:
We solve building the Venn's diagram of these sets.
We have that n(S) is the number of succesful students in a classroom.
n(F) is the number of freshmen student in that classroom.
We have that:
In which n(s) are those who are succeful but not freshmen and 
are those who are succesful and freshmen.
By the same logic, we also have that:
The union is:
In which
So
So the correct answer is:
b) 24
Answer:
The Functional Strength Measurement (FSM) is a norm‐referenced test for functional strength. It consists of eight items including muscle power (overarm and underarm throwing, standing long jump, chest pass) and muscle endurance (lateral step‐up, sit to stand, lifting a box and stair climbing.) ;.; next time put a question with fsm...
