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3 years ago

Joe bought g: gallons of gasoline for $2.85 per gallon and c: cans for oil for 3.15 dollars.

Mathematics

1 answer:

OlgaM077 [116]3 years ago

8 0

A) 2.85g+3.15c
B)2.85(8.4)+3.15(6)=$42.84

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Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0

3 years ago

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. a permit purchased for 12 months cost

julsineya [31]

let

x--------> the monthly fee

y--------> the administration fee

we know that

$660=y+12x$ --------> equation $1$

$810=y+15x$ --------> equation $2$

Multiply by $-1$ equation $1$

$-660=-y-12x$ ------> equation $3$

Adds equation $2$ and equation $3$

$810=y+15x\\-660=-y-12x\\---------\\ 810-660=15x-12x\\ 3x=150\\ x=50\ dollars$

Find the value of y

$660=y+12x\\ 660=y+12*50\\ y=660-600\\ y=60\ dollars$

therefore

the answer is

the administration fee is equal to $60\ dollars$

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3 years ago

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Perpendicular to y=4x-7; contains the point (4,3)

san4es73 [151]

Okay, so a general rule for finding perpendicular lines in the form of y = mx + b is y = (-1/m) + b.
First, let's ignore b (-7) because we're going to find that later.
A perpendicular line to y = 4x + b is y = -1/4x + b.
Alright, so now let's plug in the values. They are in the form of (x,y), so let's plug them in accordingly.

3 = -1/4(4) + b
3 = -1 + b
b = 4
y = -1/4x + 4
So a line perpendicular to y = 4x - 7 is y = -1/4x + 4.

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A flagpole sits on top of a 25 foot tall building. The building is exactly 3 times the height of the flagpole, h, minus 5 feet.

Aleonysh [2.5K]

I got 6.66666 infinite, so 6.7

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