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dem82 [27]
3 years ago
11

Plz help 3 question with explanation

Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

1. $79.38

2. It's correct.

Step-by-step explanation:

price: $105

discount: 30%

tax: 8%

Calculate 30% of 105 and subtract it from 105

To convert 30% to decimals, divide by 100.

\frac{30}{100}=0.30

105-0.30(105)

105-31.50

$73.50

Now calculate 8% of it and add it.

73.50+0.08(73.50)

73.50+5.88

$79.38

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Write in vertex form (by completing the square)y=4x2+40x+96
Anestetic [448]
y=4x^2+40x+96\\ \\ The \ vertex \ form \ of \ the \ function \ is: \\ \\y = a(x - h)^2 + k \\ \\vertex =(h, k) \ is \ given \ by: \\ \\h = \frac{-b}{2a} , \ \ \ k = c -\frac{b^2}{4a} \\ \\a=4 , \ \ b=40 , \ \ c=96

h = \frac{-40}{2 \cdot 4}=\frac{-40}{8}=-5 \\ \\ k = 96 -\frac{40^2}{4 \cdot 4} =96-\frac{1600}{16} =96-100=-4 \\ \\ y = 4(x - (-5) )^2 + (-5)=4(x +5 )^2 -5


6 0
3 years ago
How many gallons are in 50 L round answer to the nearest 10th
anygoal [31]

Answer:

13.2

Step-by-step explanation:

1 liter is equal to 0.264172

0.264172 * 50 = 13.2086

Rounded, that becomes 13.2

6 0
4 years ago
[5x+10y+15z=60<br> [2x+4y+6z=60<br> [x+2y+3z=60
Alla [95]

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations are inconsistent. The set of equations reduces to ...

  x + 2y + 3z = 12

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  x + 2y + 3z = 60

No values of x, y, and z can satisfy all three equations. There is no solution.

4 0
3 years ago
How do I convert 4,630 micrograms into grams ?
Leokris [45]
The answer to the question is 0.00463 grams.

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8 0
3 years ago
Find the slope of the line between the coordinates (-6,-13) and (3,-1)
Finger [1]

To find the slope of this line, we must use the equation:


slope=\frac{x_{2}-x_{1}}{y_{2}-y_{1}}


Where (x_{1}, y_{1}) and (x_{2}, y_{2}) can be assigned to either point.


Let's use (-6, -13) as the point "1" and (3, -1) as the point "2":


slope=\frac{3-(-6)}{-1-(-13)}


slope=\frac{9}{12} =\frac{3}{4}


So now we know that the slope between these two points is \frac{3}{4}.

4 0
3 years ago
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