Question

Simplify 2(3v+9)-14-6(-5v-4)
A. 36v+28
B. 106v+98
C. -6v-13
D. -24v-20

Answer 1

-15+4/5(15e-10)-10e.

Answer 2

Factor 48y-36z using the GCF.

Answer 3

To simplify the expression \( 2(3v + 9) - 14 - 6(-5v - 4) \), we will follow the order of operations: distribute, combine like terms, and simplify.

1. Distribute \( 2 \) in \( 2(3v + 9) \):
\[
2(3v) + 2(9) = 6v + 18
\]

2. Distribute \( -6 \) in \( -6(-5v - 4) \):
\[
-6(-5v) - 6(-4) = 30v + 24
\]

3. Now substitute these back into the expression:
\[
6v + 18 - 14 + 30v + 24
\]

4. Combine like terms:
- Combine the \( v \) terms:
\[
6v + 30v = 36v
\]
- Combine the constant terms:
\[
18 - 14 + 24 = 28
\]

5. So the simplified expression is:
\[
36v + 28
\]

Thus, the answer is \( \boxed{A} \: 36v + 28 \).

Answer 4

To simplify the expression \(-15 + \frac{4}{5}(15e - 10) - 10e\), follow these steps:

1. Distribute \(\frac{4}{5}\) to \((15e - 10)\):
\[
\frac{4}{5} \times 15e = 12e
\]
\[
\frac{4}{5} \times -10 = -8
\]

So, \(\frac{4}{5}(15e - 10) = 12e - 8\).

2. Substitute this back into the original expression:
\[
-15 + (12e - 8) - 10e
\]

3. Combine the like terms:
- Combine the \( e \) terms:
\[
12e - 10e = 2e
\]
- Combine the constant terms:
\[
-15 - 8 = -23
\]

4. So the final simplified expression is:
\[
2e - 23
\]

Thus, the answer is \( 2e - 23 \).

Answer 5

To factor the expression \( 48y - 36z \) using the greatest common factor (GCF), follow these steps:

1. **Determine the GCF of the coefficients:**
- The coefficients are \( 48 \) and \( 36 \).
- The factors of \( 48 \) are \( 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 \).
- The factors of \( 36 \) are \( 1, 2, 3, 4, 6, 9, 12, 18, 36 \).
- The common factors are \( 1, 2, 3, 4, 6, 12 \).
- The greatest common factor is \( 12 \).

2. **Factor out the GCF (which is \( 12 \)):**
\[
48y - 36z = 12(4y - 3z)
\]

So, the factored form of \( 48y - 36z \) using the GCF is:
\[
\boxed{12(4y - 3z)}
\]