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3 years ago

The table below shows the cube roots of different numbers: Number (x) 27 −27 125 −125 Cube root of the number (y) 3 −3 5 −5

Mathematics

1 answer:

kolbaska11 [484]3 years ago

5 0

Part A

The table does represent y as a function of x because each input (values of x) related to exactly one output. Refer to the diagram below.

Part B

We have
f(x) = 925x + 1000
f(24) = 925 (24) + 1000
f(24) = 23200

f(24) represent the value of renting for 24 months

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The sales totals at Robert's food store have increased linearly over the months. Which of these best shows the sales in the firs

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The best answer among the choices provided by the question is $1200 in the first month, $1285.48 in the second month, $1370.96 in the third month .

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3 years ago

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2x + y = 7

jolli1 [7]

Answer:

(2/3, 17/3)

Step-by-step explanation:

put x and y coordinates value in given equation to check equality. it equality holds that's the coordinates we are looking for.

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3 years ago

Find the domain of the function (f/g)(x) given f (x)=x^2-4x-5 and g(x)=x^2-25

stealth61 [152]

Answer:

all real numbers except ±5.

Step-by-step explanation:

Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.

The domain of (f/g)(x) is all real numbers except ±5.

___

Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:

add 25 and take the square root: x^2=25; x=±√25.
factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.

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3 years ago

The rational number that expresses a loss of $25.30 is +$25.30 -$25.30 +$2.53 -$2.53 , and the rational number that represents a

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It’s the 2nd one I hope this helps homie

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On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to

NemiM [27]

Answer:

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.2622

The margin of error is:

M = T*s = 2.2622*0.3 = 0.68

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF

The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF

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