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AVprozaik [17]
3 years ago
8

I’ll mark Brainiest?

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0
The answer is D. Group =2
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The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city
Tresset [83]

The quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

<h3>What is the general form of a quadratic equation?</h3>

The general form of the quadratic equation is given by;

\rm ax^2+bx+c=0

Where; a, b, and c are the constants.

x;   0       1         2        3          4         5

y;  2.82  3. 29  3. 46  3. 33   2. 88  2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82

From the table when the value of x = 3 the value of y is 3.33.

\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\

From the table when the value of x = 5 the value of y is 2.24.

\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143

And the value of b is;

\rm b=3a\\\\b=3(-0.14)\\\\b=0.59

Therefore,

The quadratic regression equation for this data set is;

\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\

Hence, the quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

To know more about the Quadratic equation click the link given below.

brainly.com/question/14935613

8 0
3 years ago
Car a travels 0.5 miles per hour faster than car
Crazy boy [7]
Average speed for car a = 1280 / 16  =  80 mph
Car b travels at 80 - 0.5 = 79.5 mph.

Distance  car b will travel in same time  = 16*79.5 =  1272 miles.
3 0
3 years ago
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What is 1,002 in expanded form
TiliK225 [7]
It would be one thousand and two

can I have brainliest
6 0
3 years ago
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Eight more than four times a number is -12
aleksandrvk [35]
8 more that is 8+
four times a number is 4*X
is -12: =-12
8+4*X=-12
to solve this equation subtract 8 from both sides.
8+4*X=-12
-8          -8
4*X=-20
divide by 4 on both sides.
X=-5
8 0
3 years ago
Plz helppppppppppp:)))))
vfiekz [6]
The first one:))) Hope you do well
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3 years ago
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