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3 years ago

If a car travel 96 km on 8 liters of gas, how much gas will be used if the car travels a distance of 120km?

Mathematics

1 answer:

pishuonlain [190]3 years ago

8 0

Answer:

10 liters

Step-by-step explanation:

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Find the simple interest paid for 7 years on a $600 loan at 5% per year.

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Answer:

Step-by-step explanation:

200

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2 years ago

Name the ordered pair of the origin.

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It is (0,0) there ya go :)

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3 lines are shown. A line with points C, A, F intersects a line with points B, A, E at point A. A line extends from point A to p

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3 years ago

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Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

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3 years ago

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Which expression is not equivalent to Negative 3 x minus one-half 4 y? 2 y minus 5 x minus one-half 2 y 2 x Negative 2 x minus o

Alona [7]

Answer:

The wrt=itten expressions are too difficult to interpret properly. I did my best but I don't see any of the answers as equivalent to -3x - 2y, so please check my interpretations of the answer options.

Step-by-step explanation:

"Negative 3 x minus one-half 4 y"

-3x- (1/2)4y

or -3x - 2y

=====

The answer options are too garbled for me to make sense of them. Are they:

1. 2 y minus 5 x minus one-half 2 y : 2y -5x - (1/2)2y; y -5x ?

2. 2 x Negative 2 x minus one-half 6 y : 2(-2x)- (1/2)6y; -4x - 3y ?

3. 3 x Negative 3 x minus three-fourths 4 y : 3x(-3x) - (3/4)4y; -9x -3y ?

4. one-fourth Negative 3 y minus three-fourths 7 y one-fourth minus 3 x:

(1/4)(-3y) - (3/4)7y - (1/4)(-3x); -(3/4)y -(21/4)y + (3/4)x; -(24/4)y + (3/4)x; ?

I don't see any of the answers as equivalent to -3x - 2y, so please check my interpretations of the answer options.

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2 years ago

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