Solve the simultaneous equations <br> 2x-y=7 <br> 3x+5y=4

The DeJeu family plan to drive to Marietta, GA to Newark, NJ. The distance is about 880 miles and the majority of their trip wil

iVinArrow [24]

Answer:

$10:02:24\ \text{pm}$

Step-by-step explanation:

d = Distance to travel = 880 miles

s = Average speed of the car = 65 mph

Time taken to cover the distance is

$t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{880}{65}\\\Rightarrow t=\dfrac{176}{13}\ \text{h}=13.54\ \text{hours}$

Time the car stopped

$3\times 10+60=90\ \text{minutes}=1.5\ \text{hours}$

Total time of the journey

$13.54+1.5=15.04\ \text{hours}$

Converting $0.04\ \text{hours}$ to minutes

$0.04\times 60=2.4$

So, the total time taken for the journey is $15\ \text{hours and }2\ \text{minutes and }24\text{seconds}$

Time when they reach their destination

$7:30+15:2.4\approx 10:02:24\ \text{pm}$

8 0

1 year ago

How to find the missing angle of a quadrilateral is the other angles are 123 degrees, 70 degrees, and 72 degrees?

Murrr4er [49]

123+70+72=265
the total is 360 so, 360-265=95 so 95 degrees

3 0

2 years ago

Mr. quick bought new computer system. The regular price was 1,580 , but he got a 15% discount. How much did he actually pay?

N76 [4]

Answer:

$1343

Step-by-step explanation:

The equation would be

x= 1580 (1-0.15)

x represents how much he actually pays.

1-0.15=0.85.

1580×0.85=1343

8 0

1 year ago

Leftmost digit of two numbers are 8 and 3 which is greater

anastassius [24]

8. 8 is greater than 3 and is all the way to theeft. if it was to the right, you'd need more info

6 0

2 years ago

Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati

amid [387]

In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
$f(x) = a(x - x_1)(x-x_2)(x-x_3)$

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form $(x_n , 0)$

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say $x_1 = 2 , x_2 = 3 , x_3 = 5$

So required equation is
$f(x) = a (x-2)(x-3)(x-5)$
              $= a[(x^2 - 2x - 3x + 6)(x-5)]$
              $= a[(x^2 - 5x+6)(x-5)]$
              $= a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)$
              $= a(x^3 - 10x^2+31x-30)$
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
$-5= a (0-0+0 - 30)$
$-5 = -30a$
$a = \frac{-5}{-30} = \frac{1}{6}$
So required equation of cubic polynomial is
$f(x) = \frac{1}{6}(x^3 -10x^2+31x-30)$

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.

4 0

2 years ago

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Solve the simultaneous equations 2x-y=7 3x+5y=4