<h2>
Good evening ,</h2>
<em><u>Answer</u></em>:
q=-10
<em><u>Step-by-step explanation:</u></em>
D:y=-3x+q
let’s find q
A(-4,2)∈D ⇔ 2=-3(-4)+q ⇔ q=-10
then D:y=-3x-10
look at the photo for more details.
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:)
<h3>
Answer: choice 4. f(x) and g(x) have a common x-intercept</h3>
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Explanation:
For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.
The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.
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Side notes:
- Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.
- Choice 2 is not true. Point B is not on the parabola.
- Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.
Answer:
53/21 OR 2 11/21
Step-by-step explanation:
1 4/6 + 6/7
Change 1 4/6 into an improper fraction
1 4/6 6x1= 6+4= 10/6
Simplify 10/6 --> 5/3
5/3+ 6/7
find a common denominator (21)
35/21+18/21= 53/21
mixed number form is 2 11/21
Combine your like terms: 5v + 5 = 5v +4
subtract the 5v and 4 from each side: 0 = 1
because 0

1, there is no solution
Answer:
(1,-7)
Step-by-step explanation:
y= -9x + 2.............equn(1)
y= -3x - 4..........................(2)
subtract equation (1) from equn. (2)
0= -6x + 6
subtract 6 from both sides
0-6= -6x + 6-6
-6 = -6x
divide via by -6
-6/-6 = -6x/-6
x=1
to solve for y, put x in any equation
equation (1)
y=-9x+2
y=-9(1)+2
y=-9+2
y= -7