The distributive property is a simplification rule that does not change the value of an expression. Nothing need be done to the other side of the equation.
q = -4(3+x)
q = -4*3 -4*x . . . . . the -4 is distributed. The right side has not changed value.
4(y - 7) = 2y - 38
4y - 28 = 2y - 38
4y - 2y = -38 + 28
2y = -10
y = -5
Justin buys 4 hot dogs ad 5 pop corn boxes at the baseball game.
<h3>Equation</h3>
Equation is an expression which is used to show the relationship between two or more variables and numbers.
Let x represent the number of hot dogs and y represent the boxes of popcorn.
Justin buys a total of 9 snacks. Hence:
He buys popcorn 3 less than twice as many hot dogs. Hence:
Solving equations 1 and 2 simultaneously gives:
x = 4, y = 5
Justin buys 4 hot dogs ad 5 pop corn boxes at the baseball game.
Find out more on equation at: brainly.com/question/13763238
Answer:
8
x
3
+
2
x
2
−
3
x
+
18
Explanation:
We have:
(
2
x
+
3
)
(
4
x
2
−
5
x
+
6
)
Now let's distribute this piece by piece:
(
2
x
)
(
4
x
2
)
=
8
x
3
(
2
x
)
(
−
5
x
)
=
−
10
x
2
(
2
x
)
(
6
)
=
12
x
(
3
)
(
4
x
2
)
=
12
x
2
(
3
)
(
−
5
x
)
=
−
15
x
(
3
)
(
6
)
=
18
And now we add them all up (I'm going to group terms in the adding):
8
x
3
−
10
x
2
+
12
x
2
+
12
x
−
15
x
+
18
And now simplify:
8
x
3
+
2
x
2
−
3
x
+
18
Step-by-step explanation: