1x + 2x - 50 = pls answer

Solve the system of equations y = 6x -7 y = 3x + 11

max2010maxim [7]

If they both are equal to y, they must be equal to each other therefore,
6x-7 = 3x+11
3x = 18
x=6

7 0

3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

Bond [772]

Answer:

The time that the rocket will hit the ground will be:

x = 17.40 seconds

Step-by-step explanation:

Given the expression

$f\left(x\right)\:=-16x^2+272x+110$

Here:

x represents the time in seconds

y represents the height of the rocket

We know that when the rocket will hit the ground, the height will get y = 0

i.e.

$0\:=-16x^2+272x+110$

solving for x to determine the time that the rocket takes when it will hit the ground.

so

$-16x^2+272x+110=0$

subtract 110 from both sides

$-16x^2+272x+110-110=0-110$

$-16x^2+272x=-110$

Divide both sides by -16

$\frac{-16x^2+272x}{-16}=\frac{-110}{-16}$

$x^2-17x=\frac{55}{8}$

$\mathrm{Add\:}\left(-\frac{17}{2}\right)^2\mathrm{\:to\:both\:sides}$

$x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{55}{8}+\left(-\frac{17}{2}\right)^2$

$x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{633}{8}$

$\left(x-\frac{17}{2}\right)^2=\frac{633}{8}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{17}{2}=\sqrt{\frac{633}{8}}$

$x=\frac{\sqrt{1266}}{4}+\frac{17}{2}$

x = 17.40 seconds

also solving

$x-\frac{17}{2}=-\sqrt{\frac{633}{8}}$

$x=-\frac{\sqrt{1266}}{4}+\frac{17}{2}$

x = -0.40 seconds

As time can not be negative.

Thus, the value of x = 17.40 seconds

Therefore, the time that the rocket will hit the ground will be:

x = 17.40 seconds

4 0

3 years ago

jackson is in charge of creating the work schedule for employees at big wave water park. If too many employees are scheduled the

netineya [11]

Answer:

Transcribed image text: Jackson is in charge of creating the WIR SCHUUIU IUIUMIUJU many employees are scheduled, the water park loses money. On the other hand, if tool are scheduled on a busy day, customers are unhappy and the water park could lose business Jackson knows there is a relationship between the daily temperature and the number of which, in turn, determines the number of employees needed. A t Use the data below to do the following: ral Graph the data. Find an equation for the line of best fit.- Predict the number of employees needed when the temperature is 77 Temperature 70 75 forecast (F) Number of 31 employees DRAW A LINE THAT GORS THROUGH " As chole A Poss.BLE TO ALL your POINTS. THEN FIND THE EQUATION OF THIS LINE. 80 35 40 B e Teme (FO) Y-y1 = n(X) 4-65- 2005 44-260=58-75 3 x 4y + 185=0 To 20 30 % employes When tene is 77. 5x48777185 5 1 = 123 </25 empbyes Extension: On a day when the temperature is 85°, there are approximately 550 customers at the park. Use this information to predict the number of customers on a 97 day. Math Ready v3 Unit 4. Lesson 6 Independent Practice Jackson is in charge of creating the work schedule for employees at Big Waves Water Park. It too many employees are scheduled, the water park loses money. On the other hand, if too few employees are scheduled on a busy day, customers are unhappy and the water park could lose business. Jackson knows there is a relationship between the daily temperature and the number of customers, which in turn, determines the number of employees needed Use the data below to do the following: coGraph the data. . Find an equation for the line of best fit- POIN Predict the number of employees needed when the temperature is 77". Temperature 65 70 75 80 forecast (F) Number of 19 2731 employees DRAW A LINE THAT GO THROUGH AS CLOSE AS Poss GLE TO ALL your POINTS. THE FIND THE DOUA - 15 F B). 71/1 = n(xxc) ola-63= 70.688 (X-15 Yy-260=58-75 5+ 4y +185=0 teme (F) 10 20 30 % employes - When tene is 772 3x4x777185 51-123 2/25 employes Extension: On a day when the temperature is 85, there are approximately 550 customers at the park. Use this information to predict the number of customers on a 97 day.

Step-by-step explanation:

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5 0

3 years ago

Read 2 more answers

Aisha has a piece of string that she cuts into smaller pieces. This line plot shows the length of each piece. Juan has a piece o

topjm [15]

Answer:

2 5/8 inches

Step-by-step explanation:

There are 2 pieces 5 3/4 inches long.

There is 1 piece 5 1/2 inches long.

There are 4 pieces 5 1/4 inches long.

The seventh longest piece is one of the pieces measuring 5 1/4 inches.

Juan's piece is 1/2 as long as 5 1/4 inches.

1/2 × 5 1/4 inches = 1/2 × 21/4 = 21/8 inches = (16/8 + 5/8) = 2 5/8 inches

8 0

2 years ago

It takes mike 18 minutes to finish reading 4 pages of a book. How long does it take for him to finish reading 30 pages??

VMariaS [17]

18/4 = x/30
18x30 /4 = 135 minutes or 2 hours and 15 minutes.

6 0

3 years ago

Read 2 more answers