Which of the following expressions is equivalent to 5(2x + 1)-4 show your work to justify your response test at least one value of x to check your answer a. 10 x -3 b. 7 x -3 c. 10 x + 1 d. 7x + 1

Lets Simplify Step by Step:

5(2x + 1) - 4

Distribute:

(5)(2x) + (5)(1) + -4

10x + 5 + -4

Combine Like Terms:

10x + 5 + -4

(10x) + (5 + -4)

10x + 1

Hence, Letter Choice, (C); 10x + 1 ===> 5(2x + 1) - 4

CHECK:

5(2x + 1) - 4 > 10x + 1 ===> True for all x ===> Both Sides Equal.

Steps:

5(2x + 1 ) - 4 = 10x + 1

Expand:

5(2x + 1 ) - 4 > 10x + 1

10x + 1 > 10x + 1

Subtract 1 from both sides:

10x + 1 - 1 > 10x + 1 - 1

Simplify:

10x = 10x

Subtract 10x form both sides:

10x - 10x = 10x - 10x

Simplify:

0 = 0

Therefore, when checked, 5(2x + 1 ) - 4 ===> 10x + 1, Which makes Both Sides Equal; True for All " x "

Have a great day : )

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation: