1. It's useful to divide out the GCF first because it makes factoring easier because the coefficients are smaller requiring less steps. 2. First, identify a,b, and c in the trinomial ax^2+bx+c. Then, write down all factor pairs of c Then, identify which factor pair from the previous step sums up to b. Then, Substitute factor pairs into two binomials 3. Key features are the y-intercept the zeros and the end behavior. to graph these put a pont on the intercepts and draw a line through them that matches the end behavior. 4. A binomial that is the difference of perfect squares is in the form of a^2-b^2 And its factor form is a^2 - b^2=(a-b)(a+b)5. Factoring by grouping often works well with four-term polynomials but the last step of factoring the common binomial only works when both terms contain the exact same binomial.
Should be right
Answer:
A
Step-by-step explanation:
The simpler way to calculate this question is just to calculate A and B
A - 4 x (7+2) = 4 x 9 = 36
B - (4 x 7) + 2 = 28 + 2 = 30
A = 36
=> Thus, our answer is A
<u>Hope this helps!</u>
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal.
Then, the requested line will have a slope equal to:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5 - (- 3)} {2 - (- 2)} = \frac {5 +3} {2 + 2} = \frac {8} {4} = 2](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D%20%3D%20%5Cfrac%20%7B5%20-%20%28-%203%29%7D%20%7B2%20-%20%28-%202%29%7D%20%3D%20%5Cfrac%20%7B5%20%2B3%7D%20%7B2%20%2B%202%7D%20%3D%20%5Cfrac%20%7B8%7D%20%7B4%7D%20%3D%202)
Thus, the line is of the form:
![y = 2x + b](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%20b)
We substitute point
and find "b":
![5 = 2 (-4) + b\\5 = -8 + b\\5 + 8 = b\\b = 13](https://tex.z-dn.net/?f=5%20%3D%202%20%28-4%29%20%2B%20b%5C%5C5%20%3D%20-8%20%2B%20b%5C%5C5%20%2B%208%20%3D%20b%5C%5Cb%20%3D%2013)
Finally, the equation is:
![y = 2x + 13](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%2013)
Answer:
![y = 2x + 13](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%2013)
Answer:
There are no values of x that make the equation true
The system has no solution
Step-by-step explanation:
we have
![x+4=x+8](https://tex.z-dn.net/?f=x%2B4%3Dx%2B8)
Solve for x
Subtract x both sides
![x+4-x=x+8-x](https://tex.z-dn.net/?f=x%2B4-x%3Dx%2B8-x)
-----> is not true
therefore
Is a inconsistent system
There are no values of x that make the equation true
The system has no solution
Answer:
The speed of the submarine is 5 mph
Step-by-step explanation:
Let x represent the speed of the submarine.
A submarine left Hawai'i 2 hours before an aircraft carrier. If the aircraft carrier travelled for 9 hours and after this time, the vessels were 280 miles apart, it means that submarine travelled for 9 + 2 = 11 hours and the total distance covered by submarine and the aircraft is 280 miles.
Distance = speed × time
Distance covered by the submarine would be
11 × x = 11x
The aircraft carrier traveled at 25 mph. Distance covered by the aircraft would be
25 × 9 = 225
Therefore,
225 + 11x = 280
11x = 280 - 225 = 55
x = 55/11 = 5mph