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slega [8]
3 years ago
7

An open box is to be made from a flat piece of material 14 inches long and 6 inches wide by cutting equal squares of length xfro

m the corners and folding up the sides. Write the volume Vof the box as a function of x. Leave it as a product of factors, do not multiply out the factors.
Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

f(x)=x(14-2x)(6-2x)

Step-by-step explanation:

We are given that

Length of flat piece of material=14 in

Width of flat piece of material=6 in

We have to find the volume of box as a  function of x.

An open box is made from flat piece of material by cutting equal squares of length x from the corner and folding up the sides.

Therefore, Height of box=x in

Length of box=14-2x in

Width of box=6-2x in

We know that volume of box=length\times breadth\times height

Using the formula

Volume of box=f(x)=x(14-2x)(6-2x)

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Find the diagonal of the rectangular solid with the given measures.
Vikki [24]

Answer:

<h2>7</h2><h2 />

Step-by-step explanation:

Diagonal = \sqrt{2^{2} +3^{2}+6^{2}  } =\sqrt{49} =7

6 0
3 years ago
What is the greatest common factor of the three terms?<br><br> 36h, 12h6, 48h5
Helen [10]

Answer:

<h2>12h</h2>

Step-by-step explanation:

each term has h^1

each term's coefficient is divisible by 12

12h( 3, h^5, 4h^4)

<h2>So, the GCF is 12h </h2>
4 0
3 years ago
I need help on question #1 asap
bekas [8.4K]
The answer is three. divide 48 by any number under 6 if there a decimal they don't count if there answer is over 20 it doesn't count
3 0
3 years ago
Read 2 more answers
A line has a slope of 6 and a y-intercept of 5. What is its equation in slope-intercept form?
kvasek [131]

Answer:

The equation in slope-intercept form is y = 6x + 5

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

  • m is the slope
  • b is the y-intercept

Let us solve the question

∵ A line has a slope of 6

∵ m is the slope of the line

∴ m = 6

∵ The line has a y-intercept of 5

∵ b is the y-intercept

∴ b = 5

→ Substitute the values of m and b in the slope-intercept form

∵ y = m x + b

∴ y = 6x + 5

∴ The equation in slope-intercept form is y = 6x + 5

3 0
3 years ago
Someone please help me
Firdavs [7]

Answer:

  x = -3/2

Step-by-step explanation:

The removable discontinuity is at the value of x where a denominator factor cancels a numerator factor, and those factors are zero.

  p(x)=\dfrac{2x+3}{4x^2-9}=\dfrac{2x+3}{(2x+3)(2x-3)}=\dfrac{2x+3}{2x+3}\cdot\dfrac{1}{2x-3}\\\\p(x)=\dfrac{1}{2x-3}\qquad x\ne-3/2

That cancellation occurs where 2x+3 = 0, at x=-3/2.

The function p(x) has a removable discontinuity when x = -3/2.

4 0
3 years ago
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