Write an inequality and show on a number line all numbers: from (–3) to 2 exclusives.
1 answer:
Answer:
The inequality is -3 < x < 2
The number line is included
Step-by-step explanation:
To express the numbers as an inequality, we have for exclusive numbers the form, [-3, 2] which gives;
-3 < x < 2
We note that an exclusive number (or larger than and lesser than inequality) is represented by an empty in the numbers excluded (for strict equality)
Therefore, we draw a number line with empty circles at number points -3, and 2 as follows;
-4 -3 -2 -1 0 2 1 2 3 4 5
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Answer: y = -3(x + )² +
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<u>Step-by-step explanation:</u>
First, you need to complete the square:
y = -3x² - 5x + 1
<u> -1 </u> <u> -1 </u>
y - 1 = -3x² - 5x
y - 1 = -3(x² +
y - 1 + -3() = -3(x² +
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↑ ↓ ↑
=
y - 1 - = -3(x +
)²
y - -
= -3(x +
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y - = -3(x +
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y = -3(x + )² +
Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>
Vertex = ,