Answer: =(x - 1) x (x^2 + x + 1)
Sine is also known as Opposite over hypotenuse.
Answer:
The equation of the line is y = -7/8x + 11/2
Step-by-step explanation:
Since we have the slope and a point to start, we can use point-slope form to find the equation.
y - y1 = m(x - x1)
Use the slope for m and the point at (x1, y1). Then solve for y.
y - 9 = -7/8(x + 4)
y - 9 = -7/8x - 7/2
y = -7/8x + 11/2
The amount each friend does pay is £9.75
<h3>How to calculate the pay of each friend using fractions and arithmetic operations?</h3>
We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.
From the given information:
- The 5% of 130 = £6.5
- Total amount paid = £130 + £6.5 = £136.5
Therefore, the cost of each friend is =
The cost of each friend = £9.75
Learn more about fractions here:
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Answer:
"complete the square" to put in vertex form
Step-by-step explanation:
It may be helpful to consider the square of a binomial:
(x +a)² = x² +2ax +a²
The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...
2a = 1
a = 1/2
That means we can write ...
(x +1/2)² = x² +x +1/4
But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:
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Another way to consider this is ...
x² +bx +c
= x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*
= (x +b/2)² +(c -(b/2)²)
for b=1, c=1, this becomes ...
x² +x +1 = (x +1/2)² +(1 -(1/2)²)
= (x +1/2)² +3/4
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* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).