Solve y=3bx-7x for x

The adjusted equation , indicating that the graph has been altered 4 units leftward and 6 units downward.

Clarification:

The parent equation is .

The transformed equation is .

Applying the function transformation rules, it's clear that the parent function has been modified into the function .

According to the function transformation rules,

indicates shifting the function b units to the left.

Thus, the transformed function reflects a shift 4 units to the left.

Additionally, from the function transformation rules, we understand that,

indicates shifting the function b units downward.

Consequently, the transformed function mirrors a shift of 6 units downward.

In summary, the adjusted equation , shows the graph shifted 4 units to the left and 6 units downward.

The volume provided is 3Pi(x^3) with a radius of x. To determine the volume of a cone, the formula used is V= [1/3]Pi(r^2)*height. By substituting, we get [1/3]Pi(r^2)x = 3Pi(x^3). This simplifies to (r^2)x = 9(x^3). Eventually, we find that r^2 = 9x^2, which leads to r = sqrt[9x^2] = 3x. <span>Answer: r = 3x</span>

Answer:

7/24

Step-by-step explanation:

All the items being grilled collectively equal 1.

Each item represents a fractional portion of 1.

Combine 3/8 and 1/3, then subtract that sum from 1.

3/8 + 1/3 = 9/24 + 8/24 = 17/24

This means that veggie burgers and corn contribute to 17/24 of the total.

To determine the fraction accounted for by mushrooms, we take 1 and subtract 17/24.

1 - 17/24 = 24/24 - 17/24 = 7/24.

Final answer: 7/24

The solution is c 156 students. 

The cost of Program X is $35,000, and it generates yearly savings of $40,000. To find the payback period:
Cost divided by savings times 12 months
35000 / 40000 × 12
= 10.5 months
Thus, the company will recover its investment in 10.5 months.