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3 years ago

What point do all graphs of the form y=a^x where ≠ 0 have in common?

Mathematics

2 answers:

suter [353]3 years ago

3 0

Answer is <span>A.(0, 1)
because
when x = 0, </span><span>y=a^0 = 1
so (0,1)

hope it helps</span>

Fantom [35]3 years ago

3 0

Answer:

A.(0, 1)

Step-by-step explanation:

This is an exponential function, which is a function where the independent variable <em>x </em>appears in the exponent and has a constant <em>a </em>as its base. Its mathematical expression is:

$f(x)=a^x\\\\\{x\in R: (a\neq0\hspace{3}and\hspace{3}x\in Z)or(a\geq0\hspace{3}and\hspace{3}x>0)or(x\geq 1 \hspace{3}and\hspace{3}x\in Z)or\hspace{3}a>0\}$

The image of 0 is always 1 and the image of 1 is always a:

$f(0)=a^0=1\\f(1)=a^1=a$

Thus, exponential functions always pass through the points (0, 1) and (1, a).

I attached you a graph that illustrates the behavior of the function.

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In △abc, ∠b is a right angle, ab⎯⎯⎯⎯⎯=1091⎯⎯⎯⎯√ab¯=1091 meters, bc⎯⎯⎯⎯⎯=30bc¯=30 meters, and ca⎯⎯⎯⎯⎯=100ca¯=100 meters. what is

Montano1993 [528]

Answer: $\text{tan a}= \frac{3\sqrt{91} }{91}$

Step-by-step explanation:

Since, in the triangle abc,

ab = 10√91 unit, bc = 30 unit, ca = 100 unit and m∠b = 90°

⇒ $\text{tan a} = \frac{bc}{ab}$

⇒ $\text{tan a} = \frac{30}{10\sqrt{91}}$

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⇒ $\text{tan a} = \frac{3\times \sqrt{91}}{\sqrt{91}\times \sqrt{91}}$

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An automobile manufacturer has given its car a 52.6 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Arte-miy333 [17]

Answer:

Null hypothesis: $\mu = 52.6$

Alternative hypothesis: $\mu \neq 52.6$

$z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976$

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Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

Step-by-step explanation:

Information provided

$\bar X=52.8$ represent the sample mean for the MPG of the cars

$\sigma=1.6$ represent the population standard deviation

$n=250$ sample size of cars

$\mu_o =52.6$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

Hypothesis

We need to conduct a hypothesis in order to check if the true mean of MPG is different from 52.6 MPG, the system of hypothesis would be:

Null hypothesis: $\mu = 52.6$

Alternative hypothesis: $\mu \neq 52.6$

Since we know the population deviation the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Calculate the statistic

Replacing we have this:

$z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976$

Decision

Since is a two tailed test the p value would be:

$p_v =2*P(z>1.976)=0.0482$

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

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Answer:

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bija089 [108]

Answer:

The answer is

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Step-by-step explanation:

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From the question

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We have the final answer as

<h3>6 bagels</h3>

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