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marissa [1.9K]
4 years ago
13

How many solutions does the equation 4x + 2(x − 5) = 3(2x − 4) have? Group of answer choices infinitely many solutions no soluti

on at least two solutions exactly one solution
Mathematics
1 answer:
aleksandrvk [35]4 years ago
5 0

Answer:

absolutley no solutions

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
Kisachek [45]

Answer:28.25

Step-by-step explanation:

Equation is: y = - 2x^2 + 113x - 497

In order to find out maximum of X, first step is to take derrivative of the function y = - 2x^2 + 113x -497.

When we do that, derrivative function is:

dy/dx = - 2 * 2 x + 113 * 1 = - 4x +113

At the maximum point derrvative function equals to zero.

So, - 4x + 113 = 0

-4x = -113

x = 28.25

So, the selling price should be 28.25

7 0
3 years ago
Read 2 more answers
A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola yequals25minusxsquared. What are
Karolina [17]

Answer:

The answer is "\bold{\frac{32}{3}}\\"

Step-by-step explanation:

The rectangle should also be symmetrical to it because of the symmetry to the y-axis  The pole of the y-axis.  Its lower two vertices are (-x,0). it means that  

and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:  

The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).  

The area of the rectangle:

A(x)=(2x)(16-x^2)\\\\A(x)=32x-2x^3

The local extremes of this function are where the first derivative is 0:

A'(x)=32-6x^2\\\\32-6x^2=0\\\\x= \pm\sqrt{\frac{32}{6}}\\\\x= \pm\frac{4\sqrt{3}}{3}\\\\

Simply ignore the negative root because we need a positive length calculation

It wants a maximum, this we want to see if the second derivative's profit at the end is negative.

A''\frac{4\sqrt{3}}{3} = -12\frac{4\sqrt{3}}{3}

8 0
3 years ago
Can somebody help me please.​
serg [7]

Answer:

0,-8

-6,0

Step-by-step explanation:

5 0
3 years ago
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Tony uses 1/8 cup mozzarella cheese for every 16 square inches of pizza. How much mozzarella will he use for a circular pizza wi
Vlada [557]

Answer: ~2.45 cups, or A

Step-by-step explanation:

First, find the area of the circle. Area formula is A = \pi r^{2}, but instead of the radius, we have the diameter. Halve the diameter to get the radius of 10 inches.

A = pi * 100

So the pizza has an area of around ~314.15 square inches.

Divide this number by 16 square inches to find how many 1/8 cups Tony uses.

314.15/16 = ~19.63 1/8 cups.

You can then divide 19.63 by 8 to receive how many cups he uses.

7 0
3 years ago
Simplify 4^10/4^10×7^0 as much as possible
Aloiza [94]

Answer:

1 is the answer because 4^10=1048576 and you have that on the top and the bottom of the problem then 7^0=1 so therefore 1048576/1048576=1

Step-by-step explanation:

4 0
3 years ago
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