Solve 3=1/2x + 5/2 by graphing

How to solve question 5 and 6?

MaRussiya [10]

Answer:

Step-by-step explanation:

X-2=-1. and X-2=1

X=1. X=3

X+1=5. and X+1=-5

X=4. X=-6

6 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

An article is purchased for Rs.5000 andsold for Rs.4500.Find loss percent

bixtya [17]

Answer:

10% loss

Step-by-step explanation:

the difference = Rs. 5000 -Rs. 4500 = Rs. 500

Rs. 500/Rs. 5000*100%= 10%

Since it was reduction in price, it is 10% loss

3 0

3 years ago

Students record the number of minutes they read each day. The box plot shows the sumary of the results. Which statement best des

Natalija [7]

Answer:

f

Step-by-step explanation:

the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th

6 0

3 years ago

Read 2 more answers

What is a scale drawing and how do you solve it? ( You can use any example to represent how to solve a scale drawing) Thanks!

pickupchik [31]

The definition of a Scale Drawing is- A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.
Well an example would be- Write the scale of the drawing, 1 cm = 1.5 m, as . Then write a proportion in which each ratio compares centimeters to meters. Let n represent the actual length of the boat. The actual length of the boat is 4.5 m. explaining is a little hard, but u can look up video examples to help u understand better

6 0

3 years ago