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2 years ago

Complete each sentence with minimum or maximum and the corresponding numeric values.

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

5 0

Answer:

First problem: max when x = 4

Second problem: min when x = 1

Step-by-step explanation:

The graph of f(x) = –|x – 4| – 5 is a translation of that of g(x) = -|x|. The vertex of the latter is (0, 0). First this must be translated 4 units to the right and then the resulting graph 5 units downward. The vertex of this translation is (4, -5). Since this graph opens downward, this (4, -5) is the maximum function value, that is, when x = 4.

The graph of f(x) = x2 – 2x + 1, or (better yet) f(x) = x^2 – 2x + 1, or

f(x) = (x - 1)^2 + 0, is that of a parabola that opens upward and has its minimum at x = 1, or (1, 0).

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Manny worked all summer to save money. Now he has $150 with which he wants to buy a digital music player and as many songs as he

True [87]

Answer:

Step-by-step explanation:

Total amount of Money saved by Manny is $150. He wants to buy a digital player with it.

The digital music player costs $89, and each song costs $0.99. Let x represent the number of songs that he can afford. This means that the cost of x songs would be

89 + 0.99x

If Manny spends no more than $150, before tax, the number of songs that he can buy will be

89 + 0.99x = 150

0.99x = 150 - 89 = 61

x = 61/0.99 = 61.6

He can buy 61 songs

8 0

3 years ago

Marissa rode her bike to the park and back home. She lives 2 and 3/10 miles from the park. How many miles did Marissa ride her b

solmaris [256]

2 $\frac{3}{10}$ * 2
this can be shortened to :
$\frac{23}{10}* \frac{2}{1}= \frac{23*2}{10} = \frac{46}{10}=4 \frac{6}{10} = 4 \frac{3}{5}$

3 0

3 years ago

A sample of 100 women isâ€‹ obtained, and their heightsâ€‹ (in inches) and pulse ratesâ€‹ (in beats perâ€‹ minute) are measured.

Tanzania [10]

Answer:

$\hat y= 18.5 +0.890(65)=76.35$

Step-by-step explanation:

For this case we have a linear model given by:

$\hat y= 18.5 +0.890 X$

Where X= represent the height.

Y= represent the beats per minute

And the slope is given by $\beta_1 =0.890$ and the intercept $\beta_0 =18.5$

We have the mean for x and y given also $\bar X= 62.9$ $\bar Y= 73.4$

And in order to find the best predicted value we just need to replace the value of X= 65, and we got this:

$\hat y= 18.5 +0.890(65)=76.35$

If we want a confidence interval for the response variable when the predictor variable is x, is given by this formula:

$\hat y \pm \sqrt{1+\frac{1}{n} +\frac{(x-\bar X)^2}{(n-1)s^2_x}}$

And if we replace we got this:

$76.35 \pm \sqrt{1+\frac{1}{100} +\frac{(65-62.9)^2}{(100-1)s^2_x}}$

But for this case since we don't have the deviation we can just express it like this.

7 0

3 years ago

A² + 6 from 7<br> plzz answer i gave u half of my points plz

omeli [17]

Answer:

a = 1

Step-by-step explanation:

First, you subtract 6 from both sides and you end up with a² = 1. Since one cannot be squared or square rooted, a = 1. I hope this helps!

7 0

3 years ago

Suppose that you own a store that sells a particular stove for $1,000. You purchase the stoves from the distributor for $800 eac

lubasha [3.4K]

Answer

The answer and procedures of the exercise are attached in the following archives.

Explanation

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.

4 0

3 years ago