Answer:
x= -15 or (7x+5)
Step-by-step explanation:
Simplifying
4x + 10 = 3x + -5
Reorder the terms:
10 + 4x = 3x + -5
Reorder the terms:
10 + 4x = -5 + 3x
Solving
10 + 4x = -5 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
10 + 4x + -3x = -5 + 3x + -3x
Combine like terms: 4x + -3x = 1x
10 + 1x = -5 + 3x + -3x
Combine like terms: 3x + -3x = 0
10 + 1x = -5 + 0
10 + 1x = -5
Add '-10' to each side of the equation.
10 + -10 + 1x = -5 + -10
Combine like terms: 10 + -10 = 0
0 + 1x = -5 + -10
1x = -5 + -10
Combine like terms: -5 + -10 = -15
1x = -15
Divide each side by '1'.
x = -15
Simplifying
x = -15
Answer:
Step-by-step explanation:
To do these the main think to consider is the boundaries of the functions. In other words, check when the boundary is true and use that function. And so,
If we look at 1a.) f(-3) this means that x=-3. Now check the boundary condition of both equations first. For 6x-1 use it only if x<0 well is -3<0? Yes, so we will use this function. But let's check why we won't use 7x+3 this is because the boundary is x≥0 and since x=-3, -3≥0 is false so we dont use that function. Therefore:
f(x)=6x-1
f(-3)= 6(-3) - 1 = -18 - 1 = -19
1b.) Same idea so we will use 7x+3 because 0≥0 is true and so:
f(x)= 7x + 3
f(0) = 7(0) + 3 = 0 + 3 = 3
1c.) We will use the second equation since 4≥0 is true and so:
f(x) = 7x + 3
f(4) = 7(4) + 3 = 28 + 3 = 31
You will use the same logic to solve 2 and 3. Good luck! Hope this helps!
Admission to the zoo costs $15 per person.
The graph y = 15x correctly represents the total cost for a group to visit the zoo.
Given;
Admission to the zoo costs per person = $15
Let:
The total number of people visiting the zoo = x
The total cost for a group to visit the zoo = y
So, y ∝ x
y = 15x
Therefore, the graph y = 15x correctly represents the total cost for a group to visit the zoo.
Sometimes true: when x = y it's true ; when x ≠ y it's not true.
