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lianna [129]
3 years ago
15

Simplify each expression (y - 9 )(y-2)

Mathematics
1 answer:
ad-work [718]3 years ago
7 0
Y x y = y^2
-9 x y = -9y
-2 x y = -2y
-9 x - 2 = 18
y^2 -9y -2y + 18
y^2 -11y + 18
(^2 = squared)
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The volume of a box without a lid is given by the formula v = 4x(10-x)^2, where x is a length in inches and v is the volume in c
Aloiza [94]

The volume of the box without the lid is 500 cubic inches.

<h3>What is volume?</h3>

The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.

Another way to think of volume is as the amount of space a three-dimensional object takes up.

Calculation for the volume of the box-

The volume of a box without a lid is given by the formula v = 4x(10-x)².

Where,

'x' is a length in inches, and

'v' is the volume in cubic inches.

The volume when x = 5 inches.

Substitute the value of 'x' in the formula of volume;

v = 4×5(10-5)²

  = 20×5²

v  = 500

Therefore, the volume of a box without a lid is 500 cubic inches.

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8 0
2 years ago
Given: AB with coordinates of AC-3, -1) and B(2, 1)
andrezito [222]

Answer:

up 2, right 3

Step-by-step explanation:

up 2, to the right 3.

8 0
3 years ago
Which represents the inverse of the function f(x)=4x​
Galina-37 [17]
F-1(x)=x/4 represents the inverse function because to find the inverse you have to interchange the variables & solve for y
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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\\.

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8 0
2 years ago
HELP ILL GIVE YOU BRAINLIST
timofeeve [1]

Answer:

Store B is offering the better deal on ground beef

Step-by-step explanation:

Dean is comparing prices on ground beef

Store A is selling 5 pounds of ground beef for $23.49

Store B is selling 8 pounds of ground beef for $36.96

We need to know which store is offering the better deal on ground beef

To find the better deal we must to find the unit price of each store

The unit price = total price ÷ number of pounds

∵ Store A is selling 5 pounds of ground beef for $23.49

∴ The unit price of Store A = 23.49 ÷ 5 = $4.698

∴ The unit price of Store A is $4.698 per pound

∵ Store B is selling 8 pounds of ground beef for $36.96

∴ The unit price of Store B = 36.96 ÷ 8 = $4.620

∴ The unit price of Store B is $4.620 per pound

∵ $4.620 < $4.698

∴ The unit price of Store B is less than the unit price of Store B

∴ Store B is cheaper than Store A, then it is offering the better deal

Store B is offering the better deal on ground beef

Step-by-step explanation:

6 0
3 years ago
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