Step-by-step explanation:
3x+10°=70
or,3x=70-10
or,3x=60
or,x=60÷3
or,x=20
The remainder represented by synthetic division is -5.
<h3>What is synthetic division?</h3>
Synthetic division can be defined as a simplified way of dividing a polynomial with another polynomial equation of degree 1.
Given
A vertical line and a horizontal line combine to make an L shape.
There are two rows of entries within the shape.
Row 1 has entries 2, 10, 1, 5.
Row 2 has entries blank, -10, 0, -5.
Entry -5 is on the outside to the left of the shape. The entry represents the zero of the divisor. This entry to the variable (assume the variable is x) is;
x + 5 = 0
x = -5
Hence, the divisor of the synthetic division is -5.
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the answer should be 44. you plug in -7 for x.
<h3>
Answer: Vertex is (2,2)</h3>
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Explanation:
The equation
y = -3x^2 + 12x - 10
is in the form
y = ax^2 + bx + c
with a = -3, b = 12, c = -10
Plug the 'a' and 'b' values into the equation below to find the x coordinate of the vertex
h = -b/(2a)
h = -12/(2*(-3))
h = -12/(-6)
h = 2
The x coordinate of the vertex is h = 2, which is then used to find the y coordinate of the vertex
y = -3x^2 + 12x - 10
y = -3(2)^2 + 12(2) - 10
y = -3(4) + 12(2) - 10
y = -12 + 24 - 10
y = 12 - 10
y = 2
The y coordinate of the vertex is k = 2
The vertex is (h,k) = (2,2)
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