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MatroZZZ [7]
3 years ago
13

I WILL AWARD BRAINLIEST!!!! PLEASE HELP!!

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0

Answer:

x= 14

y= 5

Step-by-step explanation:

3x+23+25=90    3x=90-48   x=14

3(14)+23+5y= 90    65+5y=90  y= 5

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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
iris [78.8K]

Answer:

t = 15.42 s

Step-by-step explanation:

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 the given equation.

y=-16x^2+242x+73

We ned to find the time when the rocket will the ground. For this, y = 0

-16x^2+242x+73=0

It is a quadratic equation whose solution is given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Here, a = -16, b = 242 and c = 73

x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s

Neglecting negative value.

So, it will hit the ground in 15.42 s.

5 0
3 years ago
What are the slope and x and y intercept of 3x-6y=18? <br><br><br> please help me
amid [387]
X intercept (6,0)
y intercept (-3,0)
slope is m= 1/2
3 0
3 years ago
Look at this system of equations.<br> 4x+3y=33<br> 2x+3y=21<br> What is the value of x+y?
Maurinko [17]

Answer:

x = 6

y = 3

x + y = 9

Step-by-step explanation:

(Step 1)

Isolate one of the variables in one of the equations. This will allow you to solve by substitution in the following steps.

2x + 3y = 21                             <----- Original equation

3y = -2x + 21                            <----- Subtract 2x from both sides

y = (-2/3)x + 7                          <----- Divide all terms by 3

(Step 2)

Substitute the new equation into the untouched equation and isolate the "x" variable.

4x + 3y = 33                                 <----- Original equation

4x + 3((-2/3)x + 7) = 33                <------ Substitute manipulated equation

4x - 2x + 21 = 33                          <------ Multiply 3 by terms in parentheses

2x + 21 = 33                                 <------ Subtract terms with variables

2x = 12                                         <----- Subtract 21 from both sides

x = 6                                             <----- Divide both sides by 2

(Step 3)

Plug the value of "x" into one of the equations to find the value of "y".

4x + 3y = 33                               <----- Original equation

4(6) + 3y = 33                             <----- Plug 6 in for "x"

24 + 3y = 33                               <----- Multiply

3y = 9                                         <----- Subtract 24 from both sides

y = 3                                           <----- Divide both sides by 3

(Step 4)

Since you now know the value of both variables, you can add them together to find your final answer.

x = 6

y = 3

x + y = ?

6 + 3 = ?

9 = ?

3 0
2 years ago
Sales rise from £400 a week to £504 a week. Calculate the percentage increase
Andrew [12]

Answer:

26%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100%

Here, the new number is £504, and the old number is £400.

percent change = (£504 - £400)/(£400) * 100% =

= £104/£400 * 100% = 0.26 * 100% = 26%

5 0
3 years ago
To graph the line y = 3/2x + 7 *
Firdavs [7]

Answer:

Answer is C

Step-by-step explanation:

Hope it helps!

3 0
3 years ago
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