Answer:
The slope is 3/8
Step-by-step explanation:
The coordinates of the vertex are (1.5, 1.75) and the axis of symmetry is at x = 1.5.
We can find the vertex by using the formula for finding x-coordinates. The formula for the x-coordinate of a vertex is below.
-b/2a
In this equation, a is the coefficient of the x^2 term (1) and b is the coefficient of the x term (-3). Then we can plug in to find the x term.
-(-3)/2(1)
3/2
1.5
Now that we have this term, we can plug it in for all values of x to find the y term.
x^2 - 3x + 4
1.5^2 - 3(1.5) + 4
2.25 - 4.5 + 4
1.75
Now we know that the vertex is at (1.5, 1.75). Now finding the axis of symmetry is easy because the axis of symmetry in any quadratic is simply x = [x-coordinate of vertex]. So in this case it would be x = 1.5.
Answer:
1 and 9
Step-by-step explanation:
By the Triangle Inequality Theorem, the sum of two side lengths of a triangle is always greater than the length of the third side.
In other words, in a triangle with side lengths 
and 
we always have 
Applying this to this question, the other side length, 
must satisfy the following inequalities:
Solving these inequalities gives
Combining these solutions, we have 
Therefore, the length of the third side falls between 1 and 9.
Answer:
c = 
f= 1500
Step-by-step explanation:
Tenemos la siguiente ecuación
Tenemos los siguientes valores para m=15000, c = 3000 y para m = 20000, c=3500. Es decir, tenemos las siguientes ecuaciones
Si restamos la segunda ecuación de la primera, tenemos que
Luego
Entonces 
Si tomamos la primera ecuación, tenemos que 
. Es decir,
Esta solución, al plantear 2 ecuaciones y dos incógnitas, plantea un sistema dos por dos.
<span>D the weight of a bowling ball, which depends on the diameter of the ball, is 8.5 pounds.</span>
