Question

remember
for problems 2–5, evaluate the expression for the given value.

1. $0.4x + 5$ when $x = 8$
2. $1.2x - 4$ when $x = 4$
3. $0.6x + 4$ when $x = -6$
4. $9.2x - 3$ when $x = -1$
5. points $o$ and $p$ are shown.

(images of points $o$ and $p$)
a. draw and label the image of point $p$ under a dilation with center $o$ and scale factor $\frac{1}{2}$.
b. the distance between $o$ and $p$ is 6 cm. what is the distance between $o$ and $p$

1. a sequence of transformations maps a figure onto its image. which transformations could be part of a sequence that would always result in a figure that is congruent to its image? choose all that apply.

a. dilation
b. reflection
c. rotation
d. translation

Explanation:

Problem 2: Evaluate \( 0.4x + 5 \) when \( x = 8 \)

Step 1: Substitute \( x = 8 \) into the expression

\( 0.4(8) + 5 \)

Step 2: Calculate \( 0.4 \times 8 \)

\( 0.4 \times 8 = 3.2 \)

Step 3: Add 5 to the result

\( 3.2 + 5 = 8.2 \)

Step 1: Substitute \( x = 4 \) into the expression

\( 1.2(4) - 4 \)

Step 2: Calculate \( 1.2 \times 4 \)

\( 1.2 \times 4 = 4.8 \)

Step 3: Subtract 4 from the result

\( 4.8 - 4 = 0.8 \)

Step 1: Substitute \( x = -6 \) into the expression

\( 0.6(-6) + 4 \)

Step 2: Calculate \( 0.6 \times (-6) \)

\( 0.6 \times (-6) = -3.6 \)

Step 3: Add 4 to the result

\( -3.6 + 4 = 0.4 \)

Answer:

\( 8.2 \)

Problem 3: Evaluate \( 1.2x - 4 \) when \( x = 4 \)