Answer:
x = 27
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x + 10 = 3x + 37
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 3x on both sides: x + 10 = 37
- Subtract 10 on both sides: x = 27
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 4(27) + 10 = 3(27) + 37
- Multiply: 108 + 10 = 81 + 37
- Add: 118 = 118
And we have our final answer!
60 / 61177 = 0.00098...
The next larger tenth is 0.1 .
The next smaller tenth is 0.0 .
0.00098... is closer to 0.0 then it is to 0.1 .
60/61177 rounded to nearest tenth = zero.
<span>The curve formed by a quadratic equation is called a PARABOLA</span>
To determine the inverse of a function, we first write the parent function in terms of y. So, in this part the x would be isolated to one side of the equation. Then, with the new form of the parent function, we switch the x into y and y to x. The new function would be the inverse function. For the given function, we do as follows:
<span> y=-4/x + 1
y - 1 = -4/x
x ( y - 1 ) = -4
x = -4 / (y -1)
Replacing x into y and y into x,
</span>y = -4 / (x -1)
<span>Therefore, the inverse is y=-a/x-b where a = 4 and b = 1.</span>
The line slopes downward. More specifically, as x increases, y decreases. Since x is the number of hours trained and y is the mile time, this must mean that the more Mario trains, the shorter his mile time gets.
