3x^2/3x^3-18x^2+27x * x^2-9/x

A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dim

RSB [31]

Answer:

The dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

Step-by-step explanation:

Perimeter of rectangle = 244 inches

Let Width of rectangle = w

Length of rectangle = w+90

We need to find the dimensions (length and width) of the carpet

The formula used will be: $Perimeter=2(length+width)$

Putting values and making equation:

$244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16$

So, we get w = 16

The width w = 16 inches

Now, finding length = w+ 90 = 16+90 = 106 inches

Therefore the dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

4 0

3 years ago

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3

RSB [31]

Answer:

$\Large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}$

Step-by-step explanation:

Hello,

Based on the indication, we can write this polynomial as below, k being a real number that we will have to identify (degree = 3 and we have three zeroes -3, -1, and 2).

$\Large \boxed{k(x+3)(x+1)(x-2)}$

We know that the point (1,10) is on the graph of this function, so we can say.

$k(1+3)(1+1)(1-2)=10}\\\\4*2*(-1)*k=10\\\\-8k=10\\\\k=\dfrac{10}{-8}=-\dfrac{5}{4}$

Then the solution is:

$\large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0

3 years ago

Find the slope of the line through the points (-5, 2) and (5,0).

Andru [333]

Use m=y2-y1/x2-x1 when you find the slope of two coordinates :)

4 0

3 years ago

Does anyone get this?

Xelga [282]

Answer:H)

Step-by-step explanation:

have a nice day

3 0

3 years ago

Read 2 more answers

Lily bought 25.29 pounds of grapefruit. The lightest grapefruit weighed 1.4 pounds. The heaviest grapefruit weighed 1.6 pounds.

Gemiola [76]

Answer:

B

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33 (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49 (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058 (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

5 0

3 years ago