Question
evaluate the expression for u = –3 and v = –4.
uv + u =
uv + u =
Answers
GPT-4o mini
To evaluate the expression \( uv + u \) for \( u = -3 \) and \( v = -4 \), we can substitute the values of \( u \) and \( v \) into the expression.
1. First, calculate \( uv \):
\[
uv = (-3)(-4) = 12
\]
2. Next, calculate \( u \):
\[
u = -3
\]
3. Now, substitute these results into the expression \( uv + u \):
\[
uv + u = 12 + (-3) = 12 - 3 = 9
\]
Thus, the final result is:
\[
\boxed{9}
\]
1. First, calculate \( uv \):
\[
uv = (-3)(-4) = 12
\]
2. Next, calculate \( u \):
\[
u = -3
\]
3. Now, substitute these results into the expression \( uv + u \):
\[
uv + u = 12 + (-3) = 12 - 3 = 9
\]
Thus, the final result is:
\[
\boxed{9}
\]
QUAAACK
Evaluate the expression for v = –2 and w = –5.
vw =
vw =
GPT-4o mini
To evaluate the expression \( vw \) for \( v = -2 \) and \( w = -5 \), we can substitute the values of \( v \) and \( w \) into the expression.
1. Calculate \( vw \):
\[
vw = (-2)(-5) = 10
\]
Thus, the final result is:
\[
\boxed{10}
\]
1. Calculate \( vw \):
\[
vw = (-2)(-5) = 10
\]
Thus, the final result is:
\[
\boxed{10}
\]
QUAAACK
Evaluate the expression for n = –3 and p = –2.
np =
np =
GPT-4o mini
To evaluate the expression \( np \) for \( n = -3 \) and \( p = -2 \), we substitute the values of \( n \) and \( p \) into the expression.
1. Calculate \( np \):
\[
np = (-3)(-2) = 6
\]
Thus, the final result is:
\[
\boxed{6}
\]
1. Calculate \( np \):
\[
np = (-3)(-2) = 6
\]
Thus, the final result is:
\[
\boxed{6}
\]
QUAAACK
Evaluate the expression for t = 11, u = –2, and v = 2.
tu 2 to the sec power + v =
tu 2 to the sec power + v =
GPT-4o mini
To evaluate the expression \( tu^2 + v \) for \( t = 11 \), \( u = -2 \), and \( v = 2 \), we proceed with the following steps:
1. Calculate \( u^2 \):
\[
u^2 = (-2)^2 = 4
\]
2. Now, calculate \( tu^2 \):
\[
tu^2 = 11 \times 4 = 44
\]
3. Finally, add \( v \) to \( tu^2 \):
\[
tu^2 + v = 44 + 2 = 46
\]
Thus, the final result is:
\[
\boxed{46}
\]
1. Calculate \( u^2 \):
\[
u^2 = (-2)^2 = 4
\]
2. Now, calculate \( tu^2 \):
\[
tu^2 = 11 \times 4 = 44
\]
3. Finally, add \( v \) to \( tu^2 \):
\[
tu^2 + v = 44 + 2 = 46
\]
Thus, the final result is:
\[
\boxed{46}
\]
QUAAACK
Evaluate the expression for j = 9 and k = –5.
jk + j =
jk + j =
GPT-4o mini
To evaluate the expression \( jk + j \) for \( j = 9 \) and \( k = -5 \), follow these steps:
1. Calculate \( jk \):
\[
jk = 9 \times (-5) = -45
\]
2. Now, calculate \( jk + j \):
\[
jk + j = -45 + 9 = -36
\]
Thus, the final result is:
\[
\boxed{-36}
\]
1. Calculate \( jk \):
\[
jk = 9 \times (-5) = -45
\]
2. Now, calculate \( jk + j \):
\[
jk + j = -45 + 9 = -36
\]
Thus, the final result is:
\[
\boxed{-36}
\]
QUAAACK
Evaluate the expression for r = 4 and s = 3.
rs 2 to sec power + r =
rs 2 to sec power + r =
GPT-4o mini
To evaluate the expression \( rs^2 + r \) for \( r = 4 \) and \( s = 3 \), we follow these steps:
1. Calculate \( s^2 \):
\[
s^2 = 3^2 = 9
\]
2. Now calculate \( rs^2 \):
\[
rs^2 = 4 \times 9 = 36
\]
3. Finally, add \( r \) to \( rs^2 \):
\[
rs^2 + r = 36 + 4 = 40
\]
Thus, the final result is:
\[
\boxed{40}
\]
1. Calculate \( s^2 \):
\[
s^2 = 3^2 = 9
\]
2. Now calculate \( rs^2 \):
\[
rs^2 = 4 \times 9 = 36
\]
3. Finally, add \( r \) to \( rs^2 \):
\[
rs^2 + r = 36 + 4 = 40
\]
Thus, the final result is:
\[
\boxed{40}
\]