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GalinKa [24]
2 years ago
12

Parabola is (6, 3). What is the vertex of the function defined as g(x) = f(x) + 3?

Mathematics
1 answer:
MrRissso [65]2 years ago
3 0

Answer:

Step-by-step explanation:

f(x) is a parabola with vertex (6,3). f(x) means the function is reflected about the y axis. That means the vertex will become (-6, 3) (the x-value gets multiplied by -1). Then adding 3 will move the vertex in the y-direction by +3 (add 3 to the y-value).

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Answer:

\frac{5}{2} ounces of marigold seeds.

Step-by-step explanation:

We have been given that Jane uses 2/5 of an ounce of lupine seeds for every ounce of Marigold seeds. We are asked to find the ounces of Marigold seeds, which Jane will use, if she used one ounce of lupine seeds.  

We will use proportions to solve our given problem.  

\frac{\text{Marigold seeds}}{\text{Lupine seeds}}=\frac{1}{\frac{2}{5}}

Let us simplify our proportion as shown below:

\frac{\text{Marigold seeds}}{\text{Lupine seeds}}=\frac{1\cdot 5}{2}

\frac{\text{Marigold seeds}}{\text{Lupine seeds}}=\frac{5}{2}

Since Jane used 1 pounce of lupine seeds, so we will substitute this value in our proportion as:

\frac{\text{Marigold seeds}}{1}=\frac{5}{2}

\text{Marigold seeds}}=\frac{5}{2}

Therefore, Jane will use \frac{5}{2} ounces of marigold seeds, if she used one ounce of lupine seeds.

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How many solutions exist for 2|x − 1| = 8?
lora16 [44]
Two solutions exist,
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&
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