Answer:
9%
Step-by-step explanation:
percent increase is calculated as
× 100%
increase = $3.87 - $3.54 = $0.33 , then
% increase = × 100% ≈ 9% ( to the nearest whole percent )
By using the completing the squares method solve Xsquared-8x+3=0
2 answers:
Answer:
x = 4 ±
Step-by-step explanation:
Given
x² - 8x + 3 = 0 ( subtract 3 from both sides )
x² - 8x = - 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 3 + 16
(x - 4)² = 13 ( take the square root of both sides )
x - 4 = ± ( add 4 to both sides )
x = 4 ±
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Answer:
Y = 2/3x - 3
Step-by-step explanation:
Recall the general equation for a straight line is
y = mx + b
where m is the gradient and b is the y-intercept
given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:
m =
in this case, x1 = 3, y1 = -1, x2 = 6, y2=1
applying these values to the formula for m will give
m = (-1 -1) / (3-6) = 2/3
We can see immediately that only the first (top-most) answer has this value for m and we can guess that this is probably the answer.
But we can still check to confirm:
If we substitute this back into the general equation, we get:
y = (2/3)x + b
In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (6,1)
1 = (2/3)(6) + b
1 = 4 + b
b = -3
Confirm Y = 2/3x - 3 is the answer.
Step-by-step explanation: In geometry, a vertex is where two rays share a common endpoint or where they interest each other.
The rays are called the sides of the angle and
common endpoint is called the vertex.
The vertex is very important when naming angles because
the vertex is always at the center when naming the angle.
Below is an example of two rays that share a
common endpoint which is called the vertex.
