Answer:
Second option
Third option
Fourth option
Step-by-step explanation:
We have the following quadratic function
Use the distributive property to multiply the expression
For a function of the form 
the x coordinate of the vertex is:
Then in this case the coordinate of the vertex is:
To obtain the y coordinate of the vertex we evaluate the function at 
Then the vertex is: (-3, -16)
We can see in the graph that the zeros of the function are x=1 and x=-7
Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞
The function is positive for 
and 
The correct answers are:
Second option
Third option
Fourth option
Set up the equation:
4(8.75x-2)=97
35x-8 =97
35x =97+8
35x =105
x. =3
The value of x is 3.
Answer:
The coordinates of the vertices of the image will be:
P'=(-3,-8)
Q'=(-6,4)
R'=(1,-1)
Step-by-step explanation:
If you reflect a point P=(x,y) across the x-axis, the coordinates of the image will be P'=(x,-y), then:
P=(-3,8)=(xp,yp)→xp=-3, yp=8→P'=(xp,-yp)→P'=(-3,-8)
Q=(-6,-4)=(xq,yq)→xq=-6, yq=-4→Q'=(xq,-yq)=(-6,-(-4))→Q'=(-6,4)
R=(1,1)=(xr,yr)→xr=1, yr=1→R'=(xr,-yr)→R'=(1,-1)
Answer:
Step-by-step explanation:
slope-intercept form:
Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.
In this case, all you need to do is subtract 3x from both sides.
Here, the slope is -3. The slope of a parallel line will also be -3.
Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.
Finally, with the slope and the y-intercept, you can write the equation of the line:
