The new expression would be -12x-20, this can be done using distributive property.
Complete Question:
Write an equation that represents the relationship between <FCB and <GBC
Answer:
m<FCB = m<GBC
Step-by-step explanation:
Given that GE is parallel to HF, and AD crosses both, thus:
<FCB and <GBC are alternate interior angles.
Alternate interior angles are congruent.
Therefore, the equation that represents the relationship between <FCB and <GBC would be:
m<FCB = m<GBC
Answer:
a) Binomial.
b) n=20, p=0.01, k≥2
The probability hat a package sold will be refunded is P=0.0169.
Step-by-step explanation:
a) We know that
- the defective probability is constant and independent.
- the sample size is bigger than one subject.
The most appropiate distribution to represent this random variable is the binomial.
b) The parameters are:
- Sample size (amount of clips in the package): n=20
- Probability of defective clips: p=0.01.
- number of defective clips that trigger the money-back guarantee: k≥2
The probability of the package being refunded can be calculated as:
Answer: the second choice: (0, - 2) and (1, 0).
Explanation:
1) The solution of a graphed system of equations is the points of intersection of the equations.
2) Hence, this method requires to graph each function in one Cartesian coordinate system.
3) To graph the function y = x² + x - 2, you can follow these steps
- draw the perpendicular x(horizontal)-axis, and y(vertical)- axis
- mark the divisions in each axis (1 unit is a good scale for this case)
- notice that y = x² + x - 2 is a parabola
- write y = x² + x - 2 in its vertex form following these steps:
y = (x² + x) - 2
y + 1/4 = (x² + x + 1/4) - 2
y + 1/4 = (x + 1/2)² - 2
y = (x + 1/2)² - 2 - 1/4
y = (x + 1/2)² - 9/4
Compare with the vertex form y = (x + h)² + k, where the coordinates of the vertex are (h,k). Therefore, the vertex is (1/2, - 9/4).
- The parabola open upwards (because the coefficient of the quadratic term is positive).
- Find the y-intercept (x =0) and x-intercepts (y = 0), and write a table with some values:
4) To graph the function y = 2x - 2, you can follow these steps:
- Use the same Cartesian coordinate system
- Notice it is a line
- The slope is 2 (the coefficient of x)
- The y-intercept is - 2( the constant term)
- Build a table (use the same x-values used for the first graph)
- x y = 2x - 2
- -2 - 6
- -1 - 4
- -1/2 - 3
- 0 - 2
- 1/2 - 1
- 1 0
- 2 2
The tables show that these points are common to the two functions: (0, - 2) and (1,0).
The graphs are shown in the figure attached.
You can see that the parabola (blue curve) and the line (purple line) intercept each other at those two points ( 0, - 2) and (1,0).