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3 years ago

What are true of the function f(x)=49(1/7)x? Check all that apply

Mathematics

2 answers:

ahrayia [7]3 years ago

7 0

The given function is : y= f(x) = $49 [\frac{1}{7}]^x$

The statements which are true regarding this function is

1. As you can observe that y is defined for all values of x , so Domain is set of all values that x can take which is set of all real numbers.

2. Also, $x =\frac {\log[\frac{y}{49}]}{-\log7}$ , so x is defined for all values of y. Range is all values that y can take which is also set of all real numbers greater than zero, i.e y>0.

As ,x =0 then y= 49 and $x_{1}$ =1 then $y_{1}$ = 7,

so , $y_{1} = \frac{y}{7}$ .

So, Option (1),(4) and (5) are correct.

VLD [36.1K]3 years ago

5 0

The domain is all real numbers
The Range is y > 0
AS x increases by 1 the value of y is 1/7 of previous value

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3 years ago

Read 2 more answers

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MaRussiya [10]

Answer:

y = 6

y = 0

Step-by-step explanation:

$y=\frac{1}{2}x² -2x$

When, x = -2

$y=\frac{1}{2}\times (-2)^2-2\times(-2)\\\Rightarrow y=\frac{1}{2}4+4\\\Rightarrow y=2+4\\\Rightarrow y=6$

y = 6

When, x = 0

$y=\frac{1}{2}\times (0)^2-2\times(0)\\\Rightarrow y=0+0\\\Rightarrow y=0$

y = 0

When, x = 4

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5 0

3 years ago

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lara31 [8.8K]

Answer:

Step-by-step explanation:

We want to determine a 90% confidence interval for the true population mean textbook weight.

Number of sample, n = 22

Mean, u = 64 ounces

Standard deviation, s = 5.1 ounces

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

64 ± 1.645 × 5.1/√22

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