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Rus_ich [418]
2 years ago
7

Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) − 5. Which statement describe

s how the graph of h is different from the graph of g? A. The graph of h is the graph of g vertically shifted up 5 units. B. The graph of h is the graph of g horizontally shifted left 5 units. C. The graph of h is the graph of g vertically shifted down 5 units. D. The graph of h is the graph of g horizontally shifted right 5 units.
Mathematics
1 answer:
crimeas [40]2 years ago
6 0

The graph of h(x) is the graph of g vertically shifted down 5 units. Then the correct option is C.

<h3>What is a function?</h3>

Functions are found all across mathematics and are required for the creation of complex relationships.

The function g(x) = x² is transformed to obtain function h:

h(x) = g(x) − 5

h(x) = x² − 5

The graph h(x) get shifted downward by 5 units.

Then the correct option is C.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

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When using the substitution method for solving a system of linear equations in two variables, what should be the first step?
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3 years ago
In a factory, 3.25% of the jars of peanut butter produced contains less peanut butter than is advertised on the label. The facto
marshall27 [118]

Answer:

936 jars of peanut butter contain less peanut butter than usual.

Step-by-step explanation:

1. First, we need to find how many jars of peanut butter that contain less peanut butter than advertised are produced every hour.

The factory produces 1200 jars of peanut butter every hour

3.25% of those jars have less peanut butter than advertised

So: multiply (1200*.0325) (the decimal form of the percent) to find the amount of peanut butter jars that contain less peanut butter than advertised.

(1200*.0325) = 39

So the factory produces 39 jars of peanut butter that contain less peanut butter than advertised.

2. Second, we need to find how many jars of peanut butter that contain less peanut butter than advertised in three 8 hour work days.

Lets add these work days together to find the total amount of hours: (8 + 8 + 8) = 24

So: three 8 hour work days totals to 24 hours

Since the factory produces 39 jars of peanut butter that contain less peanut butter than advertised per hour. Multiply (24 * 39) to find the total amount of jars produced in three 8 hour work days.

(24 *39) = 936

A total of 936 peanut butter jars are produced in three 8 hour work days that contain less peanut butter than advertised.

3. If you want to double check your work do the following.

Since the factory produces 1200 jars an hour and 24 hours total three 8 hour work days. Multiply (1200*24) = 28800

So there is a total of 28800 jars produced in three 8 hour work days.

Then you can multiply 28800 by 3.25% of jars that contain less peanut butter to find the total amount of peanut butter jars that contain less peanut butter in three 8 hour work days.

(28800 * .0325) = 936

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One-third a number (x) added to one-half the number equals nine less than the number
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The answer to your question is:

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48 ? 4×[0]

48 ? 4×0

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The symbol is >, so the answer is A.
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3 years ago
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Which of the following would be an acceptable first step in simplifying the expression tanx/1+ secx
djverab [1.8K]

The acceptable first step in simplifying the expression \mathbf{\frac{tan\ x}{1 + sec\ x}} is (a) \mathbf{\frac{tan\ x(1 - sec\ x)}{(1 + sec\ x)(1 - sec\ x)}}

The expression is given as:

\mathbf{\frac{tan\ x}{1 + sec\ x}}

To change the form of the expression, we simply perform several arithmetic operations on it.

Start by multiplying the expression by 1/1

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Express 1 /1 as (1 - sec x)/(1 - sec x)

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Rewrite the above expression as follows:

\mathbf{\frac{tan\ x}{1 + sec\ x} = \frac{tan\ x(1 - sec\ x)}{(1 + sec\ x)(1 - sec\ x)}}

Hence, the acceptable first step is (a)

Read more about trigonometry ratios at:

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2 years ago
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