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3 years ago

Which function represents the graph of y=4x−1?

Mathematics

1 answer:

Blababa [14]3 years ago

6 0

Answer:

y=4^x −1

x intercept is the point when y = 0, so you sub in 0 for y:

0 = 4^x - 1

4^x = 1

Any number excluding 0 that is raised to the the exponent 0 always equals 1, 0^0 is undetermined.

x = 0

x intercept = (0,0)

If the x intercept is at the origin (0,0) than the y intercept is also (0,0)

s is the only line that passes through (0,0)

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In 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alc

Fynjy0 [20]

Answer:

We conclude that the proportion of adults who totally abstain from alcohol has changed.

Step-by-step explanation:

We are given that in 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?"

Of the 1100 adults surveyed, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 352 in

Let p = proportion of adults who totally abstain from alcohol.

where, p = $\frac{429}{1100}$ = 0.39

So, Null Hypothesis, $H_0$ : p = 39% {means that the proportion of adults who totally abstain from alcohol has not changed}

Alternate Hypothesis, $H_A$ : p $\neq$ 39% {means that the proportion of adults who totally abstain from alcohol has changed}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who totally abstain from alcohol = $\frac{352}{1100}$ = 0.32

n = sample of adults surveyed = 1100

So, test statistics = $\frac{0.32-0.39}{\sqrt{\frac{0.32(1-0.32)}{1100} } }$

= -4.976

The value of z test statistics is -4.976.

Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the proportion of adults who totally abstain from alcohol has changed.

4 0

3 years ago

What is the value of -3⁶ +(-4+7)(2)?

svp [43]

-3^6 = -729

-729 +(-4+7)(2)

-729 +(3)(2)

-729 + 6

-723

hope it helps :)

(ps: the result of -3^6 is not +729, the expression that would give this result is (-3)^6

6 0

3 years ago

5432

professor190 [17]

The line is dotted and shaded below the graph, the inequality that represents the graph is y < 2/3x + 1

<h3>Inequality graphs and expressions</h3>

Inequality are expressions not separated by an equal sign

Given the coordinate points on the line as (-3, -3) and (3, 1)

Slope = 1+3/3+3

sloped = 4/6 = 2/3

For the intercept, b = -1

The equation of the line will be y = 2/3x + 1

Since the line is dotted and shaded below the graph, the inequality that represents the graph is y < 2/3x + 1

Learn more on inequality here: brainly.com/question/25275758

#SPJ1

5 0

2 years ago

How are the two functions f(x) = 0.7(6)^x and g(x) = 0.7^-x related to each other?

lubasha [3.4K]

To find the relationship between them, lets do some algebra:

f(x) = (7/10)^x

g(x) = (7/10)^-x

if we do:

f(x) * g(x) = 1

due to exponents multiplying addition law, therefore, the relationship, gives:

f(x) = 1 / g(x)

5 0

3 years ago

If y= -3, then 4+y/4y

Makovka662 [10]

Answer:

Step-by-step explanation:

if y = -3 then 4+(-3)/4(-3) would be 4-3 = -1 over -12 so -1/-12 or 1/12 -->B

3 0

3 years ago