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julia-pushkina [17]
3 years ago
5

Help me 1b, 1c, 1d thank you

Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer:

vvery sorry i do not know

Step-by-step explanation:

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
kenny6666 [7]

Given:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

y=-29x^2+1388x-10040

To find:

The maximum amount of profit the company can make, to the nearest dollar.

Solution:

If a quadratic equation is f(x)=ax^2+bx+c, then the vertex is

Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.

We have,

y=-29x^2+1388x-10040

Here, a=-29,b=1388, c=-10040. Clearly, a<0. So, the vertex is the point of maxima.

-\dfrac{b}{2a}=-\dfrac{1388}{2(-29)}

-\dfrac{b}{2a}=-\dfrac{1388}{-58}

-\dfrac{b}{2a}\approx 23.931

Putting x=23.931 in the given equation, we get

y=-29(23.931)^2+1388(23.931)-10040

y=-16608.09+33216.228-10040

y=6568.138

The vertex is at (23.931,6568.138).

Therefore, the maximum profit is $6568.138 when x=23.931.

5 0
2 years ago
Which is a factor of 6x^3y+6xy-12x^2-12
vredina [299]

6x³y + 6xy − 12x² − 12 = 6(xy-2) * (x²+1)


(x²+1) is a factor of 6x³y + 6xy − 12x² − 12

6 0
3 years ago
Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ
castortr0y [4]

We assume you want to find the inverse transform of s/(s^2 +3s -4). This can be written in partial fraction form as

(4/5)/(s+4) + (1/5)/(s-1)

which can be found in a table of transforms to be the transform of

(4/5)e^(-4t) + (1/5)e^t


_____

There are a number of ways to determine the partial fractions. They all start with factoring the denominator.

s^2 +3x -4 = (s+4)(s-1)


After that, you can postulate the final form and determine the values of the coefficients that make it so. For example:

A/(s+4) + B/(s-1) = ((A+B)s + (4B-A))/(s^2 +3x -4)


This gives rise to two equations:

(A+B) = 1

(4B-A) = 0

4 0
2 years ago
The prism below is made of cubes which measure 1/3 of an inch on one side what is the volume
EastWind [94]

Answer:

Volume of rectangular prism = 10/9 inch³

Step-by-step explanation:

Given:

Size of each cube = 1/3 inch

Find:

Volume of rectangular prism

Computation:

Length of rectangular prism = 2 x [1/3]

Length of rectangular prism = 2/3 inch

Width of rectangular prism = 3 x [1/3]

Width of rectangular prism = 3/3

Width of rectangular prism = 1 inch

Height of rectangular prism = 5 x [1/3]

Height of rectangular prism = 5/3 inch

Volume of rectangular prism = Length x Width X Height

Volume of rectangular prism = [2/3] x [1] x [5/3]

Volume of rectangular prism = 10/9 inch³

7 0
2 years ago
Y'ALL! WHAT IS:<br><br>46(74 + 46) + 57(9 + 36) <br>​
koban [17]

Answer:

331

Step-by-step explanation:

Add 74 + 46 + 57 = 177

Add 9 + 36 = 45

Add 45 + 46 = 91

6 0
2 years ago
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