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3 years ago

What is the product in simplest form? State any restrictions on the variable.

Mathematics

1 answer:

Masteriza [31]3 years ago

8 0

I factor it because you can't simplify

2x-8=2(x-4)
X^2+5x+4=(x+1)(x+4)
X^2-16=(x-4)(x+4)
X^2+8x+16=(x+4)(x+4)

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A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estim

raketka [301]

Answer: The cost to tile the floor is $318.24.

Step-by-step explanation:

Since we have given that

Dimensions of floor is 12 by 17 foot.

So, Area of floor would be

$12\times 17\\\\=204\ sq.\ foot$

As we know that 1 foot = 12 inch

So, Area of floor would be

$204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot$

Dimension of brick tiles is given by

$3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}$

So, Area of brick tiles is given by

$2(lb+bh+lh)\\\\=2(\dfrac{29}{8}\times \dfrac{61}{8}+\dfrac{61}{8}\times \dfrac{1}{2}+\dfrac{29}{8}\times \dfrac{1}{2})\\\\=2(\dfrac{1769}{64}+\dfrac{61}{16}+\dfrac{29}{16})\\\\=2\times \dfrac{1769+244+116}{64}\\\\=\dfrac{2129}{32}$

So, Number of clay brick would be

$29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442$

cost of each clay brick = $0.72

So, Total cost of flooring would be

$442\times 0.72\\\\=\$318.24$

Hence, The cost to tile the floor is $318.24.

7 0

2 years ago

For what value of k does the equation 6(x + 1) + 2 = 3(k5x + 1) + 3 have no solution?

NARA [144]

Answer:

k = (6/15)

Step-by-step explanation:

The equation is:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

To have no solutions, we need to have something like:

x + 7 = x + 4

where we can remove x in both sides and end with

7 = 4

So this equation is false, meaning that there is no value of x such that this equation is true, then the equation has no solutions.

First, let's try to simplify our equation:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

6*x + 6 + 2 = 3*k*5*x + 3*1 + 3

6*x + 8 = 15*k*x + 6

if 15*k = 6, then the system clerly has no solution.

then:

k = 6/15

then we get:

6*x + 8 = (6/15)*15*x + 6

6*x + 8 = 6*x + 6

8 = 6

The system has no solutions.

8 0

2 years ago

What is the value of x? x+15=8 x=

melisa1 [442]

8-15= -7

x= -7

I think this is correct..

8 0

2 years ago

Read 2 more answers

Find the equation of the line with a slope of -3, passing through the point (2,5).

Alexxx [7]

Y = -3(2) + 11
y = -6 + 11
y = 5

Answer is a) y = -3x + 11 , when x is 2 y is 5

8 0

2 years ago

In mathematics, the distance between one point (a) and another point (b), each with coordinates (x,y), can be computed by taking

anygoal [31]

The formula to find the distance between points $P_{1}$ and $x_{2}$ is given as $\sqrt{ ( y_{1}- y_{2}) ^{2}+ ( x_{1}- x_{2}) ^{2} }$ , where

$y_{1}- y_{2}$ is the vertical distance between two points on the y-axis
$x_{1} - x_{2}$ is the horizontal distance between two points on the x-axis

8 0

2 years ago