Question 1

Calculate the value of y when x = 3 and y = 4x⁴- 6x³ + 3x² + 7x - 12 A) 194 B) 198 C) 202 D) 206

Accepted Answer

198

Question 2

Find the value of y when 10x + 3y = 16 and x = 1&#10;A) 1&#10;B) 2&#10;C) 3&#10;D) 4

Accepted Answer

Substituting x = 1 into the equation 10x + 3y = 16 gives 10(1) + 3y = 16, which simplifies to 10 + 3y = 16. Subtracting 10 from both sides gives 3y = 6, and dividing both sides by 3 gives y = 2.

Question 3

How many turning points does the graph of a quadratic equation have?&#10;A) None&#10;B) One&#10;C) Two&#10;D) It can vary

Accepted Answer

The graph of a quadratic equation is a parabola, which always has exactly one turning point, where it changes direction.

Question 4

Calculate the value of y when x = -2 and if y = 4x² + 2x + 6 A) 18 B) 20 C) 22 D) 24

Accepted Answer

The given expression for y is y = 4x^2 + 2x + 6. Substituting x = -2, we get y = 4(-2)^2 + 2(-2) + 6 = 4(4) - 4 + 6 = 16 - 4 + 6 = 18.

Question 5

What is the general shape of the graph of a quadratic equation?&#10;A) Straight line&#10;B) A curve&#10;C) An S-shape&#10;D) A parabola

Accepted Answer

The graph of a quadratic equation is a parabola, which is a specific type of curve that opens either upwards or downwards.

Question 6

When plotting the ratio of two linear functions, what name is given to lines that the graph cannot cross?&#10;A) Boundaries&#10;B) Limits&#10;C) Asymptotes&#10;D) Rationals

Accepted Answer

Asymptotes are lines that a graph approaches but never actually touches or crosses. In the context of plotting the ratio of two linear functions, these lines represent values that the function approaches infinitely but never reaches, typically where the denominator of the ratio equals zero.

Question 7

What degree is the equation y = 6x⁴ + 3x³ - 2x² + 7x - 8 ? A) First B) Second C) Third D) Fourth

Accepted Answer

The degree of an equation is determined by the highest power of x present in the equation. In this case, the highest power of x is 4 (indicated by the notation ⁴, which seems to be a formatting error but suggests a superscript 4), making it a fourth-degree equation.

Question 8

Calculate the value of y when x = 5 and y = (2 decimal places)&#10;A) 3.33&#10;B) 4.44&#10;C) 5.55&#10;D) 6.66

Accepted Answer

The problem does not provide an equation or context for calculating y. However, assuming a simple linear relationship or pattern, choice B (4.44) is a plausible value for y when x = 5, given the options.

Question 9

Which of the following equations might be used to calculate the total cost of production of a car ( c) given the prices of components (m), wages (w) and other fixed costs (f)?&#10;A) c = (m + w) x f&#10;B) c = m x w - f&#10;C) c = m + w + f&#10;D) c = m - (w + f)

Accepted Answer

The total cost of production of a car would include the sum of all its components' prices, wages, and other fixed costs, which is accurately represented by the equation c = m + w + f.

Question 10

Calculate the value of y when x = 10 and if y = 3x - 4&#10;A) 20&#10;B) 22&#10;C) 24&#10;D) 26

Accepted Answer

The answer of Calculate the value of y when x...

Deck 24: Functions and Graphs