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3 years ago

G(x) = -10x2+ 490 lesser x= greater x =

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

7 0

Answer:

Greater x =+ 7

Lesser x = -7

Step-by-step explanation:

G(x) = -10x2+ 490

Let the left side = 0

So we have

0= -10x2+ 490

Solving the above now by allowing the variable with the coefficient of x cross the equal sign.

10x²= 490

Dividing by 10

X²= 490/10

X² = 49

Taking the root of both sides

X= √49

X = + 7or -7

Bigger x =+ 7

Smaller x = -7

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PLEASE ANSWER THIS AND SHOW WORK. FIND THE SURFACE AREA FOR THE FIGURE BELOW

Varvara68 [4.7K]

Answer:

Total surface area of the given figure is 246.75 square mile.

Step-by-step explanation:

Surface Area of the given figure = Lateral surface area + Area of the base

Lateral surface area of the figure = Sum of the areas of 5 triangular surfaces

= $5(\frac{1}{2} )(\text{Base})(\text{Slant height})$

= $\frac{5}{2}(7)(9.3)$

= 162.75 mi²

Surface area of the pentagonal base = 84 mi²

Total surface area of the figure = 162.75 + 84

= 246.75 mi²

Therefore, total surface area of the given figure is 246.75 square mile.

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Answer:

The second one (B)

Step-by-step explanation:

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3 years ago

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Um negociante comprou 8 barricas de vinho todas com a mesma capacidade tendo pago R$7,00 o litro é vendido a R$9,00 ele ganhou a

Law Incorporation [45]

Answer:

each barrel has a capacity of 78,75 liters

Step-by-step explanation:

since the sold 8 barrels and assuming that each have the same capacity and are sold to the same price, the total amount he earned is

total earnings = number of barrels * number of liters/ barrel * earnings/liter

R$1,260,00 = 8 barrels * number of liters/ barrel * ( R$9,00- $7,00) /liter

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3 years ago

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

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2 years ago