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2 years ago

F(x)=x^2+5x-1 is shifted 3 units left. the result is g(x). what is g(x)

Mathematics

1 answer:

frez [133]2 years ago

6 0

$\rm F(x)=x^2+5x-1$ , is shifted 3 units left. the result is g(x) is, $\rm y=(x+3)^2+5(x+3)-1$

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

A function is a statement, rule, or law that specifies the connection between two variables.

Functions are common in mathematics and are required for the formulation of physical connections.

The given function is;

$\rm F(x)=x^2+5x-1$

The given function is shifted 3 units left. It is can be obtained by drawing the graph for both functions.

The graph for both functions is attached below and shows that function is shifted 3 units left.

Hence, the value of $\rm g(x)=(x+3)^2+5(x+3)-1$ .

To learn more about the function, refer to:

brainly.com/question/5245372

#SPJ1

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Distribute 2 (9x^2 + 3).

beks73 [17]

Answer:

18x^2+6

Step-by-step explanation:

2(9x^2+3)

multiply each term in parentheses by 2

2 x 9x^2+2 x 3

calculate product

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18x^2+6

5 0

3 years ago

PLEASE ANSWER!!!!!! REALLY IMPORTANT

faust18 [17]

<u>Answer-</u>

<em>The height of the prism is</em><em> 6 units</em>

<u>Solution-</u>

As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.

So,

$V_{Prism}=Area_{Base}\times Height$

And,

$Area_{Base}=2\times \text{Area of the trapezoid}$

Also,

$\text{Area of the trapezoid}=\dfrac{1}{2}\times \text{Height}\times (\text{Sum of two parallel lines})$

$=\dfrac{1}{2}\times 3\times (5+8)\\\\=\dfrac{39}{2}$

Putting all the values,

$V_{Prism}=2\times \dfrac{39}{2}\times Height=39\times Height$

As the volume is given, so

$\Rightarrow 39\times Height=234$

$\Rightarrow Height=\dfrac{234}{39}=6$

8 0

3 years ago

Read 2 more answers

Which set of ordered pairs represents a function? {(0, 1), (1, 3), (1, 5), (2, 8)} {(0, 0), (1, 2), (2, 6), (2, 8)} {(0, 0), (0,

11111nata11111 [884]

Answer: {(0, 2), (1, 4), (2, 6), (3, 6)}

Step-by-step explanation:

For a relation to be considered a function, each x-value needs to have one corresponding y-value--it cannot have more than 1.

Since all the other sets of ordered pairs feature points with two x-values with different y-values, the set above is the only function of the provided options.

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3 years ago

A social psychologist conducts an experiment and finds a statistically significant result. This means that the a. experiment is

coldgirl [10]

Considering that the hypothesis test found an statistically significant result, it is found that the correct option is:

c. probability of obtaining this finding by chance alone is less than some quantity.

<h3>What is an hypothesis test?</h3>

When a hypothesis test, there are two hypothesis, the null and the alternative hypothesis.

There is also a significance level.

If the probability of obtaining the finding by chance is less than the significant value, the result is statistically significant.

Hence, according to these bullet points, option C is correct.

You can learn more about hypothesis tests at brainly.com/question/16313918

7 0

3 years ago

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-s

Radda [10]

Answer:

68%

Step-by-step explanation:

The Standard Deviation Rule = Empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question,

Step 1

We have to find the number of Standard deviation from the mean. This is represented as x in the formula

μ = Mean = 61

σ = Standard Deviation = 8

For x = 53

μ - xσ

53 = 61 - 8x

8x = 61 - 53

8x = 8

x = 8/8

x = 1

For x = 69

μ + xσ

69 = 61 + 8x

8x = 69 - 61

8x = 8

x = 8/8

x = 1

This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%

3 0

2 years ago