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Zigmanuir [339]
3 years ago
15

A cardboard box has a square base, with each of the four edges on the base having length x inches. The total length of all 12 ed

ges of the box is 144 inches.
a) Draw a sketch of the box, label the height as h inches and each edge of the base as
x inches b) Express the volume V of the box as a function of x. C) Sketch the graph of the function V (be sure to label your axis, and then units on each axis) D) Since both s and V represent positive quantities (length and volume respectively), what is the domain of V?
Please help!
Mathematics
1 answer:
ANEK [815]3 years ago
8 0
The right answer is A
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The equation y=3.2x represents the cost y (in dollars) for a taxi ride during peak hours that costs x dollars during off-peak ho
____ [38]

Answer:

x = y / 3.2

Step-by-step explanation:

Given:

y = 3.2x

Where

y = cost for a taxi ride during peak hours (in dollars)

x = cost for a taxi ride during off-peak hours (in dollars)

Solve the equation for x.

y = 3.2x

Divide both sides by 3.2

y / 3.2 = 3.2x / 3.2

y / 3.2 = x

x = y / 3.2

This means,

Cost for a taxi ride during off-peak hours (in dollars) = Cost for a taxi ride during peak hours (in dollars) / 3.2

7 0
3 years ago
!!!!!!!!!!!!!!!!!!!!​
notsponge [240]

Option 3

The solution for given expression is \frac{(x - 4)(x - 4)}{(x + 3)(x + 1)}

<h3><u>Solution:</u></h3>

Given that we have to divide,

\frac{x^2 -16}{x^2 + 5x + 6} \div \frac{x^2 + 5x + 4}{x^2 -2x - 8}   ---- (A)

Let us first factorize each term and then solve the sum

Using a^2 - b^2 = (a + b)(a - b)

x^2 -16 = x^2 - 4^2 = (x + 4)(x -4)  ----- (1)

x^2 + 5x + 6 = (x + 2)(x + 3)   ----- (2)

x^2 + 5x + 4 = (x+1)(x + 4)   ---- (3)

x^2 -2x - 8 = (x-4)(x + 2)   ---- (4)

Now substituting (1), (2), (3), (4) in (A) we get,

\frac{(x + 4)(x -4)}{(x +2)(x +3)} \div \frac{(x+1)(x+4)}{(x-4)(x +2)}

To do division with fractions, we turn the second fraction upside down and change the division symbol to a multiplication symbol at the same time. Then we treat this as a multiplication problem, by multiplying the numerators and the denominators separately.

\frac{(x + 4)(x -4)}{(x +2)(x +3)} \times \frac{(x - 4)(x + 2)}{(x + 1)(x + 4)}

On cancelling terms we get,

= \frac{(x -4)(x-4)}{(x + 3)(x + 1)}

Thus option 3 is correct

6 0
4 years ago
3x + 7x + 1 = 2 (5x +1)
AnnyKZ [126]
No values of X would answer this problem.
10x+1=10x+2
-10x -10x
3 = 0
6 0
3 years ago
Read 2 more answers
Give the name of the parent function and describe the transformation represented.
kirill115 [55]
The parent function, here is
f(x) = x² which is upward opening parabola.
In order to get a graph of f(x) = x²-1, shift the parent function, f(x) = x² by +1 unit downward. This is the transformation. 
7 0
3 years ago
What is the solution set for -4x - 10&lt; 2?
Alchen [17]

Answer:

x < -3

Step-by-step explanation:

-4x - 10 < 2

-4x < 12 (+10)

-x < 3 (÷4)

x < 3 (+x, -3)

8 0
3 years ago
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