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3 years ago

The kitchen is 12’ x 14’ x 10 feet, how much will it cost to purchase vinyl floor at $8.80 a foot?

Mathematics

2 answers:

Jet001 [13]3 years ago

5 0

$14,784 is the price for vinyl flooring

kumpel [21]3 years ago

3 0

Answer:

$1478.4

Step-by-step explanation:

The dimensions of the kitchen are given by,

Length = 12 feet, Width = 14 feet and Height = 20 feet.

It is known that,

Area of the rectangular floor = Length × Width

i.e. Area of the floor = 12 × 14

i.e. Area of the floor = 168 feet²

Since, the cost of of vinyl floor per foot is $8.80

Thus, the cost of 1680 feet will be 8.80 × 168 = $1478.4

Hence, the cost to purchase the vinyl floor for the kitchen is $1478.4

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With a family bowling pass, families can bowl for $4 per game . The pass cost $10 per year. Use equation , a table and a graph t

Klio2033 [76]

Answer:

Part a) $a=4g+10$ (see the explanation)

Part b) see the explanation

Part c) The graph in the attached figure

Step-by-step explanation:

The complete question is

With a family bowling pass, families can bowl for $4 per game. The pass costs $10 per year. Use an equation, a table, and a graph to explain the relationship between the total amount of money spent on bowling in a year, a, and the number of games a family plays in a year, g. Part A Use words and an equation to represent this problem. Part B Create a table to show values for g and a. Part C Use the values from your table to draw a graph.

Part A) Use words and an equation to represent this problem

Let

a ----> the total amount of money spent on bowling in a year

g ---> the number of games a family plays in a year

we know that

The linear equation in slope intercept form is equal to

$a=mg+b$

where

m is the slope or unit rate

b is the a-intercept or initial value

In this problem we have

$m=\$4\ per\ game$

$b=\$10$

substitute

$a=4g+10$

Part b) Create a table to show values for g and a

Assume different values of g and calculate the corresponding values of a

For g=0 ----> $a=4(0)+10=\$10$

For g=1 ----> $a=4(1)+10=\$14$

For g=2 ----> $a=4(2)+10=\$18$

For g=3 ----> $a=4(3)+10=\$22$

For g=4 ----> $a=4(4)+10=\$26$

The table is

$\left[\begin{array}{ccc}g&a\\0&10\\1&14\\2&18\\3&22\\4&26\end{array}\right]$

Part c) Use the values from your table to draw a graph

we have the ordered pairs

$(0,10),(1,14),(2,18),(3,22),(4,26)$

Plot the ordered pairs and join them to graph the line

The graph in the attached figure

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3 years ago

Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5). Describe the ste

olga_2 [115]

1. "the graph has the same zeros" : so let a be the "triple" root of the cubic polynomial function.

2. So f(x)= $(x-a)^{3}$

3. Don't forget that the expression might have a coefficient b as well, and still maintain the conditions:

$f(x)=b(x-a)^{3}$

4. Now, f(0)=-5 so $-5=f(0)=b(0-a)^{3}=b(-a) ^{3}=-ba ^{3}$

$-5=-ba ^{3}$

$5=ba ^{3}$

$b= \frac{5}{ a^{3} }$

5. the function is $f(x)=\frac{5}{ a^{3} }(x-a)^{3}$ where a can be any real number except 0