Bob bought 3 packs of model cars he gave 4 cars to Ann bob has 11 cars left how many model cars were in each pack
2 answers:
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Answer: B. x = 40
Step-by-step explanation:
The angles given are supplementary.
Supplementary angles are any two angles that add to 180 degrees, most commonly seen on one side of a straight line.
As these angles are supplementary, we can solve for x by adding both angles to get 180:
This means that the angle on the left is (3*40) + 15, or 135 degrees, while the angle on the right is 45 degrees. These angles add to 180 degrees.
The correct answer choice is B.
VERTEX
To determine the vertex (coordinate x) of parabola y = ax² + bx + c, use this following formula
x vertex =
y = x² - 2x - 48
a = 1, b = -2, c = -48
plug in the numbers
x vertex =
x vertex =
x vertex =
x vertex = 1
To find y vertex, substitute the value of x vertex to the parabola equation
y = x² - 2x - 48
y = 1² - 2(1) - 48
y = 1 - 2 - 48
y = -49
The vertex is (1, -49)
X-INTERCEPT
x-intercept located in x axis, that means y = 0. Substitute y = 0 to the parabola equation
x² - 2x - 48 = y
x² - 2x - 48 = 0
(x - 8)(x + 6) = 0
x = 8 or x = -6
The x-intercepts are (8,0) and (-6,0)
The answer is first option
To determine the vertex (coordinate x) of parabola y = ax² + bx + c, use this following formula
x vertex =
y = x² - 2x - 48
a = 1, b = -2, c = -48
plug in the numbers
x vertex =
x vertex =
x vertex =
x vertex = 1
To find y vertex, substitute the value of x vertex to the parabola equation
y = x² - 2x - 48
y = 1² - 2(1) - 48
y = 1 - 2 - 48
y = -49
The vertex is (1, -49)
X-INTERCEPT
x-intercept located in x axis, that means y = 0. Substitute y = 0 to the parabola equation
x² - 2x - 48 = y
x² - 2x - 48 = 0
(x - 8)(x + 6) = 0
x = 8 or x = -6
The x-intercepts are (8,0) and (-6,0)
The answer is first option