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tigry1 [53]
3 years ago
5

Select the correct answer. Consider the function f(x) = 3x and the function g, which is shown below. How will the graph of g dif

fer from the graph of f? The graph of g is the graph of f shifted to the right by 3 units. The graph of g is the graph of f shifted down by 3 units. The graph of g is the graph of f shifted to the left by 3 units. The graph of g is the graph of f shifted up by 3 units.
Mathematics
1 answer:
Sloan [31]3 years ago
8 0

Answer:

The graph of g is the graph of f shifted up by 3 units.

Step-by-step explanation:

Consider the graph of a function r with real numbers k and h.

Transformation Effect

r(x) + k shifts the graph up k units

r(x) - k shifts the graph down k units

r(x + h) shifts the graph to the left h units

r(x - h) shifts the graph to the right h units

It is given that g(x) = f(x) + 3. Therefore, the graph of g is the graph of f shifted up by 3 units.

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Answer:

2.64

Step-by-step explanation:

0.9(x + 1.4) - 2.3 + 0.1x = 1.6

0.9x + 1.26 -2.3 + 0.1x - 1.6 = 0

(0.9x + 0.1x) + (1.26 - 2.3 - 1.6) = 0  

x - 2.64 = 0

x = 2.64

8 0
3 years ago
3/4 divided by 1/2 equals what
daser333 [38]

Answer:

.375

Step-by-step explanation:

((3/4)/1)/2 = 0.375

Hope it helps

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3 years ago
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Last day I can do this test
avanturin [10]

Answer:

Had the same question, the answer was d

Step-by-step explanation:

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2 years ago
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According to a recent​ survey, the population distribution of number of years of education for​ self-employed individuals in a c
creativ13 [48]

Answer:

a) X: number of years of education

b) Sample mean = 13.5, Sample standard deviation = 0.4

c) Sample mean = 13.5, Sample standard deviation = 0.2

d) Decrease the sample standard deviation

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 13.5 years

Standard deviation,σ = 2.8 years

a) random variable X

X: number of years of education

Central limit theorem:

If large random samples are drawn from population with mean \mu and standard deviation \sigma, then the distribution of sample mean will be normally distributed with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

b) mean and the standard for a random sample of size 49

\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{49}} = 0.4

c) mean and the standard for a random sample of size 196

\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{196}} = 0.2

d) Effect of increasing n

As the sample size increases, the standard error that is the sample standard deviation decreases. Thus, quadrupling sample size will half the standard deviation.

7 0
3 years ago
What is the equation of this line?
cricket20 [7]

Answer:

y=1/2x-2

Step-by-step explanation:

the line is at its y-intercept at (0,-2) letting you know that there will be a -2 after the X.

the line is going up 1 vertical box every 2 horizontal boxes letting you know that the slope is 1/2x

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3 years ago
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