Chapter 6: Q. 74 (page 698)

Evaluate $16 - 36 x^{2}$ when:
(a) $x = - 1$
(b) $x = 0$
(c) $x = 2$

Short Answer

Expert verified

(a) The value of the expression at $x = - 1$ is $- 20$ .

(b) The value of the expression at $x = 0$ is 16.

Step by step solution

Part (a) Step 1. Given information.

The given expression is:

$16 - 36 x^{2}$

The given value is $x = - 1$ .

Part (a) Step 2. Evaluate the expression for the given value.

Substitute $x = - 1$ in the given expression.

$\begin{array}{rcl} 16 - 36 (- 1)^{2} & = & 16 - 36 (1) \\ = & 16 - 36 \\ = & - 20 \end{array}$

The value of the expression is $- 20$ .

Part (b) Step 1. Given information.

The given expression is:

$16 - 36 x^{2}$

The given value is $x = 0$ .

Part (b) Step 2. Evaluate the expression for the given value.

Substitute $x = 0$ in the given expression.

$\begin{array}{rcl} 16 - 36 (0)^{2} & = & 16 - 0 \\ = & 16 \end{array}$

The value of the expression is 16.

Part (c) Step 1. Given information.

The given expression is:

$16 - 36 x^{2}$

The given value is $x = 2$ .

Part (c) Step 2. Evaluate the expression for the given value.

Substitute $x = 2$ in the given expression.

$\begin{array}{rcl} 16 - 36 (2)^{2} & = & 16 - 36 (4) \\ = & 16 - 144 \\ = & - 128 \end{array}$

The value of the expression is $- 128$ .

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Evaluate $16 - 36 x^{2}$ when:
(a) $x = - 1$
(b) $x = 0$
(c) $x = 2$

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Evaluate the expression for the given value.

Part (b) Step 1. Given information.

Part (b) Step 2. Evaluate the expression for the given value.

Part (c) Step 1. Given information.

Part (c) Step 2. Evaluate the expression for the given value.

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Evaluate 16-36x2when:(a)x=-1(b)x=0(c)x=2

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Evaluate the expression for the given value.

Part (b) Step 1. Given information.

Part (b) Step 2. Evaluate the expression for the given value.

Part (c) Step 1. Given information.

Part (c) Step 2. Evaluate the expression for the given value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Statistics

Probability and Statistics

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Evaluate $16 - 36 x^{2}$ when:
(a) $x = - 1$
(b) $x = 0$
(c) $x = 2$