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Helen [10]
3 years ago
13

Consider the functions f(x) = x^2 -1 and g(x) = 3x+1. Find the value of f(4) and g(4)

Mathematics
1 answer:
coldgirl [10]3 years ago
7 0
All you do here is plug in 4 for the x values.

So F(4)=4^2-1 which is F(4)=16-1 so F(4)= 15

So G(4)= 3(4)+1 which is G(4)=12+1 so G(4)=13
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Which of the following is the measurement of DQRS
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A rectangle is a quadrilateral that has two sets of parallel sides. Each side of the rectangle forms a 90 degrees with the other side. If diagonals are drawn, the lines will divide the angle into two having an angle 90 degrees. Therefore, 90 degrees is the answer hope its help you
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3 years ago
What is the y-intercept of the liner function? (y=3x-2)
inysia [295]

The y-intercept of the linear function y = 3x - 2 is -2

<h3>How to determine the y-intercept?</h3>

The function is given as

y = 3x - 2

The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)

As a general rule, linear functions are those functions that have constant rates or slopes

Next, we set x to 0, and calculate y to determine the value of the y-intercept

y = 3(0) - 2

Remove the bracket in the above equation

y = 3 * 0 - 2

Evaluate the product of 3 and 0 i.e. multiply 3 and 0

y = 0 - 2

Evaluate the difference of 0 and -2 i.e. subtract 0 from 2

y = -2

The above means that the value of y when x is 0 is -2

Hence, the y-intercept of the linear function y = 3x - 2 is -2

Read more about y-intercept at:

brainly.com/question/14180189

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4 0
2 years ago
Copy and complete the table.
suter [353]

Answer:

See pic below.

Step-by-step explanation:

6 0
3 years ago
Find the value of the test statistic z using . The claim is that the proportion of adults who smoked a cigarette in the past wee
kolezko [41]

Correct question is;

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.35, and the sample statistics include n = 1168 subjects with 385 saying that they smoked a cigarette in the past week. Find the value of the test statistic

Answer:

Test statistic is z = -1.46

Step-by-step explanation:

Let's first of all define the hypotheses:

Null hypothesis:

H0: p = 0.35, i.e 35% in the sample of 1,168 adults have smoked cigarettes in the previous week.

Alternative hypothesis:

Ha: p < 0.35, i.e less than 35% in the sample of 1,168 adults have smoked cigarette in the previous week.

The sample size is, n = 1,168 while the number of adults who smoked in the previous week would be; x = 385

Therefore, the sample proportion of adults who smoked in the previous week would be calculated as;

p^ = x/n = 385/1168 ≈ 0.3296

Now, from Central Limit Theorem for large samples, The sampling distribution of the sample proportion p^, will have a mean of μ = p = 0.35

Formula for standard deviation is;

σ = √[p (1 – p)/n]

σ = √(0.35 × (1 – 0.35)/1168)

σ = √0.0001947774

σ = 0.014

Formula for test statistic is;

z = (p^ - p)/σ

z = (0.3296 - 0.35)/0.014

z = - 1.46

3 0
3 years ago
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