Answer:
x = 1.14
Step-by-step explanation:
3(2x - 1) + 7 = 6x - 3 - 2(-4x) [Given Equation]
6x - 3 + 7 = 6x - 3 + 8x [Distributive Property]
6x + 4 = 14x - 3 [Combine like-terms]
-8x + 4 = -3 [Subtraction Property of Equality]
-8x = -7 [Subtraction PoE]
x = 1.14 [Division PoE]
ANSWER

EXPLANATION
Since the directrix is

the axis of symmetry of the parabola is parallel to the y-axis.
Again, the focus being,

also means that the parabola will open upwards.
The equation of parabola with such properties is given by,

where

is the vertex of the parabola.
The directrix and the axis of symmetry of the parabola will intersect at

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.
This implies that,

and

The equation of the parabola now becomes,


Thus, the distance between the vertex and the directrix.
This means that,

Since the parabola opens up, we choose

Our equation now becomes,

This simplifies to

or

This is the same as,

The correct answer is D .
Answer:
9x+3
Step-by-step explanation:
First join the x terms, and you will find 9x (1x+8x), then join the numbers, and you get 3 (-7+10)
Hope it helps!
Take the 2 times you are given and add them to x and divide the entire left side of the equation by 3:
54.3+56.1+x/3=55
54.3+56.1+x=165
x=54.6
The 3rd lap took him 54.6 seconds to run
Answer:
A
Step-by-step explanation:
We know the y intercept is positive so that eliminates choice D.
y = 3x^2 -2x+1
This does not intercept the x axis
y = 3x^2 -6x+3
= 3(x^2 -2x+1)
3(x-1)^2
This intercepts the x axis at 1
This is not the equation for the graph
y = 3x^2 -7x+1
Let x = 1
y = 3-7+1
= -3
This will cross the x axis, so this cannot be the graph