Answer:
infinite solutions
Distributive Property
Step-by-step explanation:
5x + 3(x − 5) = 6x + 2x − 15
Distribute
5x+3x -15 = 6x+2x -15
Combine like terms
8x -15 = 8x-15
Subtract 8x from each side
8x-8x-15 = 8x-8x-15
-15=-15
This is always true so there are infinite solutions
We used the Distributive Property
And the Subtraction Property of Equality
Answer:
d = 17
Step-by-step explanation:
The given arithmetic sequence is :
31, 48, 65, 82, ...
We need to find the common difference for this sequence.
First term, a₁ = 31
Second term, a₂ = 48
Common difference = a₂-a₁
= 48-31
= 17
So, the common difference for this arithmetic sequence is equal to 17.
Answer:
12.5%
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the given function,
f(x) = -3(x + 1)²+ 18
By comparing this equation with the standard equation of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Part A
Vertex of the given equation → (-1, 18)
Part B
y-intercept → For the value of y at x = 0
y = -3(0 + 1)² + 18
y = -3 + 18
y = 15
y - intercept → (0, 15)
Part C
Since, the given function is opening downwards,
Function will have a maximum.
Part D
Coordinates of maximum point → (-1, 18)
Part E
Axis of symmetry → x = -1
a right triangle has one angle that measures 90 degrees. that leaves 90 degrees for the other 2 angles
90 = 40 + other angle
subtract 40 from each side
50 = other angle
Answer = 50 degrees
