North Carolina Math 3 EOC Chapter 6

1 pt

1.

How many regions should a number line be broken into test the inequality ${x}^{2}6x+40$?

A

2

B

3

C

4

D

5

1 pt

2.

The solution to an inequality is –5 ≤ x ≤ 4. that is the solution written in interval notation?

A

(-5, 4)

B

[-5, 4]

C

(4, -5)

D

[4, -5]

1 pt

7.

What is the solution to the inequality ${12}^{x}\ge 998$ rounded to two decimal places and written in interval notation?

A

$(0.36,\infty )$

B

$[0.36,\infty ]$

C

$(2.78,\infty )$

D

$[2.78,\infty ]$

1 pt

10.

The graph of the function $f\left(x\right)\hspace{0.17em}=\left(5\right)\left({9}^{x-1}\right)-15$ is shown below. What is the solution to the inequality $\left(5\right)\left({9}^{x-1}\right)-15\ge 0$ in interval notation?

A

$(-15,\infty )$

B

$[-15,\infty ]$

C

$(1.52,\infty )$

D

$\{1.5,\infty )$

1 pt

11.

To solve the inequality $\left(\frac{5}{8}\right)\left({4}^{x}\right)+18\le 28$, all the terms were moved to the left side of inequality and the left side was graphed. Which if these functions was graphed?

A

$f\left(x\right)=\frac{5}{8}\left({4}^{x}\right)-46$

B

$f\left(x\right)=\left(\frac{5}{8}\right){\left(4\right)}^{x}-10$

C

$f\left(x\right)=\left(\frac{5}{8}\right){\left(4\right)}^{x}+10$

D

$f\left(x\right)=\left(\frac{5}{8}\right){\left(4\right)}^{x}+16$