2|x+8|=20
Plz show work

Answers

Answer 1

Answer:

Answer: x=2, or x=-18

Step-by-step explanation:

Since anything in an absolute value can be positive or negative (since in an absolute value, everything has to be positive since absolute value measures distance and distance cannot be a negative), so |x+8| can become either (x+8) or [-(x+8)].

Our first equation: (after I've removed absolute value)

2(x+8)=20

2x+16=20

2x=4

x=2

And our second equation: (after I've removed absolute value):

-2(x+8)=20

-2x-16=20

-2x=36

x=-18

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Monique has 3 eggs and needs to buy more. A store has 6 dozens of eggs. Monique needs to buy at least 2 dozen. The number of eggs Monique will have after purchasing x dozen is represented by a function. f(x)=12x+3
What is the practical domain of the function?

All integers from 2 to 6, inclusive.
{27, 39, 51, 63, 75}
All real numbers.
All real numbers from 2 to 6, inclusive.

Answers

Let

x--------> the number of dozen of eggs

f(x)-------> the number of eggs

we know that

$f(x)=12x+3$

The domain of the function is the amount of dozens of eggs that Monica can buy

The domain is the interval-------> $[2,3,4,5,6]$

All integers from $2$ to $6$ , inclusive

The range is the interval-------> $[27, 39, 51, 63, 75]$

therefore

the answer is the option

All integers from $2$ to $6$ , inclusive

All integers from 2 to six inclusive.I took the same test.

What line forms when a plane and a cylinder intersect?

Answers

If the plane and the cylinder intersect perpendicular to each other, then the resulting line will form a circle. It the cylinder and the plane intersect horizontally to each other, the resulting line will form a rectangular prism.
Hope that helped =)

Pls help me with this question. Would appreciate step by step explanation.

Answers

Answer:

$\sf\nV_1=2^3\n\textsf{or, }V_1=2^3(1)\n\nV_2=2^3+4^3\n\textsf{or, }V_2=2^3+(2*2)^3=2^3+2^3.2^3\n\textsf{or, }V_2=2^3(1^3+2^3)$

$\sf\nV_3=2^3+4^3+6^3\n\textsf{or, }V_3=2^3.1^3+2^3.2^3+2^3.3^3\n\textsf{or, }V_3=2^3(1^3+2^3+3^3)$

$\sf\n\textsf{So the nth term will be given by: }\n\nV_n=2^3*(1)/(4)n^2(n+1)^2\n\n\textsf{or, }V_n=2n^2(n+1)^2$

Determine the 3-day sma for the ten consecutive day closing prices of sprint nextel corp listed below. $7.78, $8.08, $7.99, $8.02, $7.89, $8.72, $9.19, $9.16, $8.98, $9.38

Answers

The 3-day moving average is the average 3 number moiving one place each time.

The 3-day sma for the ten consecutive day closing prices is given by of sprint nextel corp:

(1st day price + 2nd day price + 3rd day price) / 3 = ($7.78 + $8.08 + $7.99) / 3 = $23.85 / 3 = $7.95

(2nd day price + 3rd day price + 4th day price) / 3 = ($8.08 + $7.99 + $8.02) / 3 = $24.09 / 3 = $8.03

(3rd day price + 4th day price + 5th day price) / 3 = ($7.99 + $8.02 + $7.89) / 3 = $23.90 / 3 = $7.97

(4th day price + 5th day price + 6th day price) / 3 = ($8.02 + $7.89 + $8.72) / 3 = $24.63 / 3 = $8.21

(5th day price + 6th day price + 7th day price) / 3 = ($7.89 + $8.72 + $9.19) / 3 = $25.80 / 3 = $8.60

(6th day price + 7th day price + 8th day price) / 3 = ($8.72 + $9.19 + $9.16) / 3 = $25.80 / 3 = $27.07 / 3 = $9.02

(7th day price + 8th day price + 9th day price) / 3 = ($9.19 + $9.16 + $8.98) / 3 = $27.33 / 3 = $27.33 / 3 = $9.11

(8th day price + 9th day price + 10th day price) / 3 = ($9.16 + $8.98 + $9.38) / 3 = $27.33 / 3 = $27.52 / 3 = $9.17

Therefore, the 3-day sma for the ten consecutive day closing prices of sprint nextel corp are $7.95, $8.03, $7.97, $8.21, $8.60, $9.02, $9.11, $9.17

Answer:

Step-by-step explanation:

The 3-day moving average is the average 3 number moiving one place each time.

The 3-day sma for the ten consecutive day closing prices is given by of sprint nextel corp:

(1st day price + 2nd day price + 3rd day price) / 3 = ($7.78 + $8.08 + $7.99) / 3 = $23.85 / 3 = $7.95

(2nd day price + 3rd day price + 4th day price) / 3 = ($8.08 + $7.99 + $8.02) / 3 = $24.09 / 3 = $8.03

(3rd day price + 4th day price + 5th day price) / 3 = ($7.99 + $8.02 + $7.89) / 3 = $23.90 / 3 = $7.97

(4th day price + 5th day price + 6th day price) / 3 = ($8.02 + $7.89 + $8.72) / 3 = $24.63 / 3 = $8.21

(5th day price + 6th day price + 7th day price) / 3 = ($7.89 + $8.72 + $9.19) / 3 = $25.80 / 3 = $8.60

(6th day price + 7th day price + 8th day price) / 3 = ($8.72 + $9.19 + $9.16) / 3 = $25.80 / 3 = $27.07 / 3 = $9.02

(7th day price + 8th day price + 9th day price) / 3 = ($9.19 + $9.16 + $8.98) / 3 = $27.33 / 3 = $27.33 / 3 = $9.11

(8th day price + 9th day price + 10th day price) / 3 = ($9.16 + $8.98 + $9.38) / 3 = $27.33 / 3 = $27.52 / 3 = $9.17

Therefore, the 3-day sma for the ten consecutive day closing prices of sprint nextel corp are $7.95, $8.03, $7.97, $8.21, $8.60, $9.02, $9.11, $9.17

Two joggers, one averaging 7 mph and one averaging 5 mph, start from a designated initial point. The slower jogger arrives at the end of the run 45 minutes after the other jogger. Find fhe distance of the run.

Answers

22.5 miles long

basically all you have to do is count out the factors until you reach two number of 45 apart

  DIFFERENCE
7MPH 5MPH BETWEEN THEM

7 5 2
14 10 4
21 15   6
28 20 8
35 25 10
42 30 12
49 35 14
56 40 16
63 45 18
70 50   20
77 55   22
84 60   24
91 65 26
98    70 28
105    75 30
112    80 32
119 85 34
126 90 36
133 95 38
140    100 40
147 105 42
154 110 44
161 115 46

considering the differences are even it means it has to fall in the middle. if you count from the top it is 22.5 numbers down giving you the number of miles.
I'm sure there is an easier way but this is how i would solve it. :)

Final answer:

The distance of the run is 13.125 miles. The total time for the slower jogger was found to be 2.625 hours. Thus, both joggers ran the same distance, but at different speeds resulting in different finish times.

Explanation:

The problem deals with the concept of relative speed in mathematics. To find the distance of the run, we first need to figure out the time it took for each jogger to finish the run. We know that the slower jogger finished 45 minutes after the faster one. Since the speed equivalence is expressed in miles per hour (mph), let's convert 45 minutes into hours by dividing 45 by 60, giving us 0.75 hours.

Given that the slower jogger runs at 5 mph, and they took 0.75 hours longer than the faster one, we know they ran for a certain time 't', so we can represent this as t = total time of slower jogger's run.

The faster jogger ran at 7 mph. Since the jogger was 0.75 hours ahead of the slower one, the time would be represented by t - 0.75 hours = total time of faster jogger's run. The distance travelled by each jogger is 'speed x time'.

Following this, we equal these distances because it's the same course: 5t = 7(t - 0.75).

Solving this equation gives us t = 2.625 hours (total time for slower jogger). To find the run's distance, we can now substitute total time into either jogger's speed x time calculation. We'll use the slower jogger here: Distance = 5t = 5*2.625 = 13.125 miles.