Answer:
y < 2/3x + 4
Step-by-step explanation:
Hi there! So first, we need to subtract 2x from both sides:
-3y > -2x - 12
Now, we need to divide both sides by -3 to isolate y. Since we are dividing by a negative value, <u>our</u><u> </u><u>inequality</u><u> </u><u>symbol</u><u> </u><u>will</u><u> </u><u>be</u><u> </u><u>flipped</u><u> </u><u>from</u><u> </u><u>></u><u> </u><u>to</u><u> </u><u><</u><u>.</u>
Your final answer is:
y < 2/3x + 4
Answer:
See below.
Step-by-step explanation:
Shape A is congruent to shape <u>___F___</u>, as shown by a reflection across the y-axis and then a translation down <u>__3___</u> units. B is congruent to shape <u>__D__</u>, as shown by a reflection across the y-axis and then a translation down <u>__2___</u> units
Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Answer:
22/15
7/6
Step-by-step explanation:
Have a blessed day
Since there are 6 possible results when rolling a die, each number has a 1 in 6 chance that it will be rolled.
1 and 2 are two possible results, so there is a 2 in 6 chance they will be rolled. As a fraction:
2/6
simplified:
1/3
