A mutant strain of Neurospora which fails to grow on a minimal medium unless supplemented with a nutrient is called a. Auxotroph b. Autotroph c. Heterotroph d. Prototroph

Sure, here are some step-by-step solutions with LaTeX tags intact: **Example problem:** Solve for x: $3x+2=11$ **Step-by-step solution:** Step 1: Subtract 2 from both sides of the equation: $3x+2-2=11-2$ Simplifying, we get: $3x=9$ Step 2: Divide both sides by 3: $\frac{3x}{3}=\frac{9}{3}$ Simplifying, we get: $x=3$ Therefore, the solution to the equation is x = 3. **Example problem:** Simplify the expression: $\frac{4x^3-8x^2}{2x}$ **Step-by-step solution:** Step 1: Factor out 4x from the numerator: $\frac{4x^3-8x^2}{2x}=\frac{4x(x^2-2x)}{2x}$ Simplifying, we get: $\frac{2\cancel{x}(x^2-2x)}{\cancel{2}\cancel{x}}=2(x^2-2x)$ Therefore, the simplified expression is 2(x^2 - 2x). **Example problem:** Find the slope and y-intercept of the line that passes through the points (-3, 5) and (2, -1). **Step-by-step solution:** Step 1: Find the slope using the formula: $m=\frac{y_2-y_1}{x_2-x_1}$ Substituting the coordinates of the points, we get: $m=\frac{-1-5}{2-(-3)}=\frac{-6}{5}$ Therefore, the slope of the line is -6/5. Step 2: Find the y-intercept using the point-slope form of the equation of a line: $y-y_1=m(x-x_1)$ Substituting one of the points and the slope, we get: $y-5=\frac{-6}{5}(x+3)$ Simplifying, we get: $y=\frac{-6}{5}x+\frac{9}{5}$ Therefore, the y-intercept of the line is 9/5.