Rewrite the expression 2b/b using the division symbol. Find the value of 6−4x when x=−3. Add 2(3x−4)+4(x+2)

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the problems:

1: Rewrite the expression using $\div$ symbol: $\frac{2b}{b}$

Identify the division operation.
A fraction bar represents division.
$\frac{2b}{b}$
Rewrite the expression using the division symbol.
$2b \div b$
The expression can also be simplified.
Simplify the expression by canceling out $b$ .
$2b \div b = 2$
The question asks to rewrite using the $\div$ symbol, so the simplified form is not strictly required, but it's good practice to note.

The expression rewritten using the $\div$ symbol is:
$\boxed{\text{2b} \div \text{b}}$
2: Find the value of $6-4x$ when $x=-3$
Substitute the given value of $x$ into the expression.
$6 - 4(-3)$
Perform the multiplication.
$6 - (-12)$
Simplify the expression.
Subtracting a negative number is equivalent to adding a positive number.
$6 + 12 = 18$
The value of the expression is:
$\boxed{\text{18}}$
3: Add $2(3x-4)+4(x+2)$
Distribute the numbers outside the parentheses to the terms inside.
$2(3x) - 2(4) + 4(x) + 4(2)$ $6x - 8 + 4x + 8$
Combine like terms.
Group the $x$ terms and the constant terms.
$(6x + 4x) + (-8 + 8)$
Perform the addition for each group.
$10x + 0$ $10x$
The simplified expression is:
$\boxed{\text{10x}}$

Rewrite the expression (2b)/(b) using the division symbol. Find the value of 6-4x when x=-3. Add 2(3x-4)+4(x+2)