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2 years ago

The length of a rectangle is twice its width. If the rectangle's perimeter is 200

Mathematics

1 answer:

iris [78.8K]2 years ago

7 0

Step-by-step explanation:

set that width is x

and length become 2X

P = 2×( X+ 2X )

200 = 6 X

X=33. 3

width = 33.3 inch

length = 66. 6 inch

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What is the answer to the main problem

Sholpan [36]

Answer:

x-int: (3, 0)

y-int: (0, -1.5)

Step-by-step explanation:

x-intercept is the x-value when y = 0

y-intercept is the y-value when x = 0

Step 1: Find x-intercept

0 = (x - 3)/2

0 = x - 3

x = 3

(3, 0)

Step 2: Find y-intercept

y = (0 - 3)/2

y = -3/2

(0, -1.5)

8 0

3 years ago

H(x) = x2 1 k(x) = x – 2 (h k)(2) = (h – k)(3) = Evaluate 3h(2) 2k(3) =.

natima [27]

Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.The value of the given functions are,

$(h+k)(x)=5$

$(h-k)(x)=9$

$3h(2)+2k(3)=17$

<h3>Given information-</h3>

The given function is,

$h(x)=x^2+1$

$k(x)=x-2$

<h3>Quadratic equation</h3>

Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.

1) The value of the function (h+k)(2),

$(h+k)(x)=h(x)+k(x)$

$(h+k)(x)=x^2+1+x-2$

$(h+k)(2)=2^2+1+2-2$

$(h+k)(x)=5$

2)The value of the function (h-k)(3),

$(h-k)(x)=h(x)-k(x)$

$(h-k)(x)=x^2+1-x+2$

$(h-k)(3)=3^2+1-3+2$

$(h-k)(x)=9$

3) The value of the function 3h(2)+2k(3)

$3h(x)+2k(x)=3x^2+3+2x-2\times 2$

$3h(2)+2k(3)=3\times2^2+3+2\times2-2\times 2$

$3h(2)+2k(3)=17$

Hence the value of the given functions are,

$(h+k)(x)=5$

$(h-k)(x)=9$

$3h(2)+2k(3)=17$

Learn more about the quadratic equation here;

brainly.com/question/2263981

4 0

2 years ago

Please Show Your Work

Morgarella [4.7K]

The area of the trapezoid will be 32.5 square feet. Then the volume of the geometry will be 341.25 cubic feet.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is shown.

Then the volume of the given geometry will be

Volume = Area of the trapezoid × Height

Then the area of the trapezoid will be

$\rm Trapezoid \ area = \dfrac{1}{2} \times (8 + 5) \times 5\\\\\\Trapezoid \ area = 32.5 \ ft^2$

Then the volume of the geometry will be

Volume = 32.5 × 10.5

Volume = 341.25 cubic ft.

More about the geometry link is given below.

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7 0

2 years ago

Natalie is making doll costumes. each costume has 4 buttons that cost three cents each and a zipper that cost seven cents. how m

Tema [17]

12 cents on buttons and 7 cents for zippers

8 0

3 years ago

If f(x)=2x-6 and g(x)=x^3 what is (g f)(0)

kow [346]

<h2>Hello!</h2>

The answer is:

$(g\circ f)(0)=-216$

To composite functions, we need to evaluate functions in another function(s), for example:

Given f(x) and g(x), if we want to calculate f(x) composite g(x), we need to evaluate g(x) into f(x).

So, we are given the functions:

$f(x)=2x-6\\g(x)=x^{3}$

And we are asked to calculate g(x) composite f(x), and then evaluate "x" to 0, so, calculating we have:

$(g\circ f)(x)=g(f(x))\\\\(g\circ f)(x)=(2x-6)^{3}$

Now that we have the composite function, we need to evaluate "x" equal to 0, so:

$(g\circ f)(0)=(2x-6)^{3}\\\\(g\circ f)(0)=(2*(0)-6)^{3}=(0-6)^{3}=-6*-6*-6=-216$

Hence, we have that:

$(g\circ f)(0)=-216$

Have a nice day!

6 0

3 years ago