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Oduvanchick [21]
3 years ago
9

Write a quadratic function in vertex form whose graph has the vertex (-2, - 13) and passes

Mathematics
1 answer:
Goshia [24]3 years ago
3 0

Answer:

<h2>          f(x) = ⁵/₈(x+2)² - 13</h2>

Step-by-step explanation:

Vertex form of the equation of a quadratic function with vertex (h,k):

f(x) = a(x - h)² + k

To find <em>a</em> we need to put the point and the vertex into this equation:

3 = a(-6 + 2)² - 13

10 = a(-4)²

16a = 10

a = ⁵/₈

Therefore, vertex form of the quadratic function:

f(x) = ⁵/₈(x+2)² - 13

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What is a pendulum?​
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1.5 Determine the degree of the following algebraic expressions:
tatuchka [14]

By identifying the largest exponent in each expression, we see that the answers are:

a) D = 3.

b) D = 5.

c) D = 0.

<h3></h3><h3>How to determine the degree of an expression?</h3>

The degree is just the largest exponent of the variable in an expression.

First, we have:

a) √3xyz - 5

The largest exponent is on the term √3*xyz is 3 (because we add the 3 exponents 1 of x, y, and z) so this expression has a degree of 3.

b)  y² - 3y⁵ -y + 2y³ - 4

Here the largest exponent is on the second term, so we can see that the degree is 5.

c) -10³

Here we don't have a variable, so this is a constant, which means that the degree is zero, because we could write:

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2 years ago
In a Gallup poll of randomly selected adults, 66% said that they worry about identity theft. For a group of 1013 adults, the mea
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Answer:

Mean = 344

Step-by-step explanation:

Given

Population =  1013

Let p represents the proportion of those who worry about identity theft;

p = 66\%

Required

Mean of those who do not worry about identity theft

First, the proportion of those who do not worry, has to be calculated;

Represent this with q

In probability;

p + q = 1

Make q the subject of formula

q = 1 - p

Substitute p = 66\%

q = 1 - 66\%

Convert percentage to fraction

q = 1 - 0.66

q = 0.34

Now, the mean can be calculated using:

Mean = nq

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Mean = 344 (Approximated)

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3 years ago
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