How do you solve m=10x-x for x

The appropriate conversion should be 0.2. If that's incorrect, please let me know.

Answer:

x=9,-1 and

Explanation:

We are given the quadratic equation

, which we then compare with the standard form of a quadratic. The general quadratic is identified as

. From our given equation, it follows that a=1,b=-8,c=-9

. To calculate the discriminant, we insert these values into the formula

. Now, to find the value of x

The formula is

. The resulting equation will be obtained by rewriting the original equation through rearranging 9 to the right side and applying negative signs within brackets to convert the expression into the form of

.

The formula for the volume of a sphere can be derived as follows. We will approach this through calculus, utilizing the concept of a solid of revolution; this is a three-dimensional shape formed by rotating a two-dimensional curve around a straight line (the axis of revolution) that lies within the same plane. From calculus, we know that we will generate a shape by rotating the specified circumference. Next, we isolate y and utilize certain limits for this integral.

Response:

$125,000.12 last year

$375,000.36 this year

Step-by-step clarification:

Last year, her earnings were x.

This year, her earnings are three times greater, thus they equal 3x.

For both years combined, the total earnings amount to x + 3x = 4x.

The earnings across both years together total $500,000.48

4x = 500,000.48

Dividing both sides by 4 gives us

x = 500,000.48/4

x = 125,000.12

Thus, last year's earnings were $125,000.12

This year, her profits amounted to 3x = 3(125,000.12) = 375,000.36, totaling $375,000.36

x=88. The third line serves as a transversal, meaning that 92 and x are supplementary angles.