Question

find the value of (3sqrt{x} + 7) if (x = 25).

a) 32
b) 82
c) -8
d) 22

question 10 (5 points)
which table correctly lists the three solutions for the equation (5x + y = 14)?

a)
\

$$\begin{tabular}{|c|c|c|c|} \\hline x & -1 & 0 & 1 \\\\ \\hline y & 9 & 14 & 19 \\\\ \\hline \\end{tabular}$$

b)
\

$$\begin{tabular}{|c|c|c|c|} \\hline x & -1 & 0 & 1 \\\\ \\hline y & -5 & 0 & 5 \\\\ \\hline \\end{tabular}$$

c)
\

$$\begin{tabular}{|c|c|c|c|} \\hline x & -1 & 0 & 1 \\\\ \\hline y & 19 & 14 & 9 \\\\ \\hline \\end{tabular}$$

d)
\

$$\begin{tabular}{|c|c|c|c|} \\hline x & -1 & 0 & 1 \\\\ \\hline y & 21 & 28 & 7 \\\\ \\hline \\end{tabular}$$

Explanation:

Evaluate the radical expression

Using the Algebraic Expression Evaluation knowledge point

$$
LATEXBLOCK0
$$

Solve the linear equation for y

To find the solutions for the equation \(5x + y = 14\), we isolate \(y\) to make calculations straightforward.

$$ y = -5x + 14 $$

Test the x-values for the linear equation

We substitute the \(x\)-values \(-1\), \(0\), and \(1\) into our isolated equation to find the corresponding \(y\)-values.

• For \(x = -1\):

$$ y = -5(-1) + 14 = 5 + 14 = 19 $$

• For \(x = 0\):

$$ y = -5(0) + 14 = 14 $$

• For \(x = 1\):

$$ y = -5(1) + 14 = -5 + 14 = 9 $$

Match the calculated values to the options

The correct table must contain the pairs \((-1, 19)\), \((0, 14)\), and \((1, 9)\). Looking at the choices:

• Option A lists \(y\)-values: \(9, 14, 19\)
• Option B lists \(y\)-values: \(-5, 0, 5\)
• Option C lists \(y\)-values: \(19, 14, 9\)
• Option D lists \(y\)-values: \(21, 28, 7\)

Therefore, Option C is the correct table.

Answer:

Question 1

• A) 32
• B) 82
• C) -8
• D) 22 (Correct answer)

Question 10

• A) Table with y-values: 9, 14, 19
• B) Table with y-values: -5, 0, 5
• C) Table with y-values: 19, 14, 9 (Correct answer)
• D) Table with y-values: 21, 28, 7