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Aleks04 [339]
3 years ago
14

Marley brought 290 pennies to the bank. How many dimes did marley get?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0
2 one dollar bills 3 quarters 1 dime and 1 nickel
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A billboard designer has decided that a sign should have 4-ft margins at the top and bottom and 1-ft margins on the left and rig
givi [52]

An equation is formed of two equal expressions. The value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given x is the left-right width of the billboard and y is the height of the billboard. Therefore,

The total area of the billboard, A= x·y

The total printed area of the billboard, A_p=(x-2)(y-8)

Given in problem that the area of the billboard is 3600 ft².

x·y = 3600

y = (3600)/x

Substituting the value of y in the equation of the total printed area of the billboard,

A_p = (x-2)(\dfrac{3600}{x}-8)\\\\A_p = 3600 -8x -\dfrac{7200}{x} + 16\\\\A_p =3616-8x - \dfrac{7200}{x}

Now, the value of x is needed to be minimum, therefore, differentiating the given function,

\dfrac{d}{dx}A_p =\dfrac{d}{dx}3616-8x - \dfrac{7200}{x}\\\\\dfrac{d}{dx}A_p =-8 - \dfrac{7200}{x^2}

Equate the differentiated function with 0,

0=-8x - \dfrac{7200}{x^2}\\\\8x = - \dfrac{7200}{x^2}\\\\x^3 = 900\\\\x = 9.655 ft.

Hence, the value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

4 0
2 years ago
Divide and answer.<br> 2.92 ÷ 10
Leni [432]

The Answer to your problem is:

0.292

8 0
3 years ago
Read 2 more answers
If (-9, 2) is on the graph of Flx), which point must be on the graph of the
dmitriy555 [2]

Answer:

(2, - 9 )

Step-by-step explanation:

Since 2 is the output when - 9 is input to f(x)

Then reversing the procedure, that is the inverse gives an output of - 9 for an input of 2.

(- 9, 2) is a point on the graph of f(x), then

(2, - 9) is a point on the graph o the inverse function f^{-1}(x)

7 0
3 years ago
Does anyone know this? :)
Scilla [17]

Answer:

2x²y+(x²y-2xy²) = 3x²y-2xy²

(5xy²-x²y) +3x²y = 5xy²-2x²y

4x²y+(x²y+xy²) = 5x²y+xy²

x²y+(-2xy²-4x²y) = -3x²y-2xy²

Step-by-step explanation: there you go

6 0
3 years ago
A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2
sveta [45]
Since the minimum value is 0 and axis of symmetry is -2 this means that the vertex is at -2,0 now with the y intercept of 4. You can now plug the values into Vertex form which will be y=a(x-h)^2+k. a being the shrink or stretch of the parabola, h being the x value of the vertex, and k being the y value of the vertex. with all of that plugged in it should look like y=(x+2)^2. You can check this equation by plugging in 0 as x which should find the y intercept of 4. So it should then look like y=(0+2)^2 -> y=(2)^2 -> y=4
3 0
3 years ago
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