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3 years ago

Sales tax is 6%. Bought car for$820 what was cost of car

Mathematics

2 answers:

pogonyaev3 years ago

8 0

820 + .06(820)
820 + 49.2
869.2
The cost of the car is $869.20.

ElenaW [278]3 years ago

5 0

820 * 6%=49.20
820 + 49.20= 869.20

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Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)

timofeeve [1]

Answer: $x-2y-2=0$

Step-by-step explanation:

Given :

$f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8$

Point of intersection :

$f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}$

$x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75$

So, we have points $\left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )$

Equation of line passing through two points $\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )$

Let $\left ( x_1,y_1 \right )=\left ( 2,0 \right )\,,\,\left ( x_2,y_2 \right )=\left ( -1.5,-1.75\ \right )$

So, equation is as follows :

$y-0=\frac{-1.75-0}{-1.5-2}\left ( x-2 \right )\\y=\frac{-1.75}{-3.5}\left ( x-2 \right )\\y=\frac{1}{2}(x-2)\\2y=x-2\\x-2y-2=0$

4 0

3 years ago

Please help i need answer and explanation.

allsm [11]

Answer:

m<TVZ = 95

Step-by-step explanation:

2x+15+2x+5= 180

4x+20 =180

-20 -20

4x=160

x= 40

2x+15= m<TVZ

2(40)+15 = m<TVZ

80+15 = m<TVZ

95 = m<TVZ

To check:

2x+5= <WVZ

2(40)+5 = <WVZ

80+5 = <WZV

85+95 = 180

The two angles together should equal 180. Comment if you have any questions :)

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3 years ago

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katrin2010 [14]

Answer:

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Step-by-step explanation:

$2 dollars in ones + $0.50 in quarters + $0.20 in dimes + $0.01 in pennies equals out to $2.71

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MaRussiya [10]

Slope can be calculated using the formula: m= $\frac{y2 -y1}{x2-x1}$

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y2/x2 represents the second number in the bracket

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REY [17]

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Step-by-step explanation:goofy

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