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Tpy6a [65]
3 years ago
5

In which form is the following function written? Y-3=1/2(x-1)^2

Mathematics
2 answers:
larisa86 [58]3 years ago
7 0

Answer:

Cartesian Form ⇒ completing square

Step-by-step explanation:

y - 3 = 1/2(x - 1)²

y = 1/2(x - 1)² + 3  ⇒ vertex (1 , 3) minimum

laila [671]3 years ago
6 0

Answer:

The given equation is in vertex form.

Step-by-step explanation:

We have given a quadratic equation.

y-3 = 1/2(x-1)²

We have to find the form of the function.

y-k = a(x-h)² is vertex form of equation in which (h,k) is vertex of equation.

Comparing vertex form and given equation, we have

k = 3 and h = 1

Hence, vertex is (1,3).

So, the given equation is in vertex form.

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Answer:

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Step-by-step explanation:

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One batch of muffins require 1/4 cup of sugar. Kelly wants to make 3/2 batch of muffins. Will she use more than, less than, or a
Alla [95]
She will use more than 1/4 cup of sugar to make 1.5 batches of muffins.  If one batch of muffins requires 1/4 cup of sugar, you can think of the amount of sugar needed being 1/4 cup per batch.  That being said multiply 1.5 batches by 1/4 cup per batch to find cups of sugar.
(1.5 batches)x((1/4 cups)/(1 batch))=0.375 cups of sugar.

You can also think of it as if one batch takes 1/4 cup of sugar, half of a batch would take 1/8 cup of sugar.  Since 1.5 batches is just 1 batch+1/2 batch, you can say the amount of sugar needed is 1/4 cup+1/8 cup which equals 3/8 cup sugar.

I hope this helps you.
5 0
4 years ago
An underwater camera is filming at a location 14 1/2 meters below sea level. The camera moves to a location 30 1/10 meters below
ElenaW [278]

Answer:

−15 3/5 m

Step-by-step explanation:

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7 0
3 years ago
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3 0
3 years ago
The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10
8_murik_8 [283]

Answer:

The z-score for an income of $2,100 is 1.

Step-by-step explanation:

If X \sim N (µ, σ²), then  Z=\frac{x-\mu}{\sigma}, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \sim N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

Given:

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3 years ago
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