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3 years ago

5

Javier participated in a local hot dog-eating contest. The graph below shows the number of hot dogs he ate. What is Javier's ave

rage rate of change
A. 1 hot dog per 7 minutes
B. 3.5 hot dogs per 0.5 minutes
C. 0.5 hot dog per 1 minute
D. 7 hot dogs per 1 minute

2 answers:

Elina [12.6K]3 years ago

8 0

D, 1 minute 7 hotdogs are aten

kakasveta [241]3 years ago

6 0

D. 7hot dogs per 1 minute

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Solve the equation, if possible. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.)

Masteriza [31]

Answer:

The equation $x\left(x\:+\:6\right)\:=\:\left(x\:+\:3\right)^2$ has NO SOLUTION, and is called contradiction.

Step-by-step explanation:

Given the equation

$x\left(x\:+\:6\right)\:=\:\left(x\:+\:3\right)^2$

$\mathrm{Expand\:}x\left(x+6\right):\quad x^2+6x$

$\mathrm{Expand\:}\left(x+3\right)^2:\quad x^2+6x+9$

so

$x^2+6x=x^2+6x+9$

$\mathrm{Subtract\:}x^2+6x\mathrm{\:from\:both\:sides}$

$x^2+6x-\left(x^2+6x\right)=x^2+6x+9-\left(x^2+6x\right)$

$\mathrm{Simplify}$

$0=9$

$\mathrm{The\:sides\:are\:not\:equal}$

Thus, there is NO SOLUTION.

We know that an equation that has no solution, such as $x = x + 2$ , is called a contradiction.

Therefore, the equation $x\left(x\:+\:6\right)\:=\:\left(x\:+\:3\right)^2$ has NO SOLUTION, and is called contradiction.

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3 years ago

6,372 times 75 exampling

Yanka [14]

Answer:

477,900

Step-by-step explanation:

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3 years ago

Find the values of the 30th and 90th percentiles of the data. Please show your work.

MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= $100,100,105,113,129,132,146,176,200$

The 30th percentile is located at

$(\frac{30}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = $\frac{105+113}{2}=\frac{218}{2}=109$

The 90th percentile is located at

$(\frac{90}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = $\frac{176+200}{2}=\frac{376}{2}=188$

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3 years ago

How to Find the vertex of f(x)=-8x^2-8x+7

charle [14.2K]

Answer:

The answer to your question is: (1/2, 5)

Step-by-step explanation:

Parabola f(x) = 8x² - 8x + 7

y = 8x² - 8x + 7

Vertical Parabola equation

( x - h)² = 4p (y - k) Transform the original equation to this form

8x² - 8x = y - 7

8(x² - x + ( )²) = y - 7 Complete squares

8 (x² - x + (1/2)²) = y - 7 + 2 Simplification

8 (x² - x + 1/4) = y - 5

(x - 1/2)² = 1/8 (y - 5)

Finally Vertex

(1/2 , 5)

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3 years ago

Round the following decimal to the nearest tenth.<br>598.61 please explain how you got the answer.

FinnZ [79.3K]

598.61 rounded to the nearest tenth is 598.60 I got the answer by rounding ;P

jk

You just have to look at the tenths place (the place your rounding to) which is .6 The look to the number next to it on the right (.01) If that number on the right is 4 or less, the number youre rounding to stays the same (but all the numbers to the right of it turn into zeros.) If the number to the right is 5 or more, than add 1 to the number your rounding to. But here the number to the right is less than 4 so the answer is 598.60.

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3 years ago