Answer:
- 8
Step-by-step explanation:
Given the expression
(3x² - 5)(4 + 4x²)
Each term from the second factor is multiplied by every term in the first factor, meaning
3x²(4 + 4x²) - 5(4 + 4x²) ← distribute both parentheses
= 12x² + 12
- 20 - 20x² ← combine like terms
= 12 - 8x² - 20
The coefficient for the x² term is - 8
It includes the procedures to reach that specific point.
Some of them are arranged incorrectly.
I will label them with letters.
The sequence is:
A: 2x+5=19
B: 2x+5-5=19-5
C: 2x=14
D: 2x/2=14/2
E: x=7
A: initial condition
B: we subtracted 5 from both sides based on the subtraction property of equality
C: perform the subtraction
D: applying the division property of equality (dividing both sides by 2)
E: result of the division
Answer : y>0
f(x) = 9*2^x
This function is exponential in form
Substituting positive numbers for x yields positive y values
Substituting negative numbers for x also results in positive y values
Therefore, y remains positive regardless of the value of x.
The range comprises all possible y outputs of the function
Since y is always positive, the range is y > 0
Let x represent the hot dogs
and y represent the snacks
The equation x + y = 175
Rewrite x as 175 - y
And the second equation: 2.50x + 0.75y = 262.50
Substitute to get 2.50(175 - y) + 0.75y = 262.50
Which simplifies to 437.50 - 2.50y + 0.75y = 262.50
Rearranging gives -1.75y = -175
Hence, solving for y results in y = -175 / -1.75 = 100
Thus, 100 snacks and 75 hot dogs were sold
