Paul drives 728 miles in 14 days.

docker41 [41]

Box #1:
Dimensions are x, 3x, and x³.
Base area, A = x*(3x) = 3x².
Volume, V = (3x²)*(x³) = 3x⁵.
The volume is a 5-th order polynomial. It has only one term, which is the leading term.

Box #2:
Dimensions are x, (4x-1), and x³.
Base area, A = x*(4x-1) = 4x² - x.
Volume, V = (4x² - x)*(x³) = 4x⁵ - x⁴.
The volume is a 5-th order polynomial. It has two terms.
It could be written as
V(x) = 4x⁵ - x⁴ + 0x³ + 0x² + 0x¹ + 0x⁰.
Only terms involving x⁵ and x⁴ have non-zero coefficients.

3 0

3 years ago

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How many solutions does this linear system have? one solution: (0, 0) one solution: (1, –4) no solution infinite number of solut

Anna35 [415]

The system of equations has infinite solutions.

<h2>Given to us,</h2>

$y=-6x+2$
$-12x-2y=-4$

<h3>Equation 2,</h3>

The value of y is already given in equation 1,

$-12x-2y=-4$

substituting the value of y in equation 2,

$-12x-2(-6x+2)=-4\\-12x +12x-4=-4\\-12x+12x=-4+4\\0=0$

The solution of the two equations is 0. Also, we can see that both the equations are in ratio.

Further, the image also shows that the line of the two equations are coinciding.

Hence, the system of equations has infinite solutions.

Learn more about System of solutions:

brainly.com/question/14264175

3 0

3 years ago

Determine whether the following problem involves a permutation or a combination and explain your answer. How many different -le

Alex_Xolod [135]

Answer:

B. The problem involves a combination because the order in which the letters are selected does not matter.

Step-by-step explanation:

Computation technique is a method of statistics to find possible ways of combination. In computation technique it is assumed that order does not matter and letters will be selected at random. Permutation is a statistics technique to find possible ways of combination when the order does matter. Permutation technique cannot be used when order does not matter.

4 0

3 years ago

Please I need to know how to do this !!

Whitepunk [10]

$\frac{6xyz}{2xy-y}.\frac{2x^{2}-7x+3 }{3xz - 9z} = 2x$

<h3>How to simplify an expression?</h3>

The expression can be simplified as follows:

$\frac{6xyz}{2xy-y}.\frac{2x^{2}-7x+3 }{3xz - 9z}$

Hence,

$\frac{6xyz}{y(2x-1)}.\frac{(x-3)(2x-1)}{3z(x-3)}$

Therefore.

$\frac{6xyz}{y(2x-1)}.\frac{(2x-1)}{3z}$

Hence,

$\frac{2xy}{y(2x-1)}.\frac{(2x-1)}1=2x$

learn more on expression here: brainly.com/question/403991

#SPJ1

4 0

2 years ago

Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.

kiruha [24]

Answer:

The area of the parallelogram is 108 inches² <em>OR</em> 0.75 foot²

Step-by-step explanation:

* Lets revise the properties of the parallelogram

- Each two opposite bases are are parallel

- Each two opposite bases are equal in length

- Each two opposite angles are equal in measure

- Each two adjacent angles are supplementary (their sum = 180°)

- Its two diagonals bisect each other

- Each base has an altitude (height) drawn from the opposite

base to it

* Look to the attached figure to more understand

- The area of the parallelogram is the product of the length of one

of its base and the corresponding altitude (height)

∵ Area = B1 × H1 ⇒ OR ⇒ Area = B2 × H2

∵ B1 = 1 1/2 feet

∵ H1 = 6 inches

- The base and the height have different units, so we must

change the unit of one of them to the other

∵ 1 foot = 12 inches

∵ B1 = 1 1/2 = 1.5 feet

∴ B1 = 1.5 × 12 = 18 inches

∴ A = 18 × 6 = 108 inches²

* The area of the parallelogram is 108 inches²

OR

∵ B1 = 1 1/2 = 1.5 feet

∵ H1 = 6 inches

∴ H1 = 6 ÷ 12 = 1/2 = 0.5 foot

∴ A = 1.5 × 0.5 = 0.75 foot²

* The area of the parallelogram is 0.75 foot²

8 0

3 years ago

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