Answer: (2x - 1)(3x - 4)
(split -11x as -8x and -3x)
Step-by-step explanation:
I am assuming that it is actually 6x^2 - 11x + 4
To find out how to split the middle term: The two numbers should multiply to a*c (6*4 = 24) and add to b (-11)
-8, -3 works
(6x^2 - 8x) + (-3x + 4)
2x(3x - 4) + -1(3x - 4)
(2x - 1)(3x - 4)
Answer:
In terms of the class, the dot product represents the weighed class average.
Step-by-step explanation:
The two vectors are:
- The weight of each of the semester's exams.
In decimal:
- The class average on each of the exams
In decimal:
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Dot product:
Suppose there are two vectors, u and v
u = (a,b,c)
v = (d,e,f)
There dot product between the vectors u and v is:
u.v = (a,b,c).(d,e,f) = ad + be + cf
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So
In terms of the class, the dot product represents the weighed class average.
Answer:
5 1/2 hours
Step-by-step explanation:
by a factor of 5 means times 4
6*4=24
22/4=5.5 hours
Answer:
The answer is 64 people.
Step-by-step explanation:
If they invite 64 people and all of them show up you multiply that by 30 you get 1,920 add 70 to that and you get 1,990. The reason that 64 is the maximum is because if it were 65 it would go over their budget and if it were below 64 then we wouldn't be getting the greatest number possible.
Answer:
x is equal to four, and y is equal to negative eight.
Step-by-step explanation:
Let's solve it rearranging the first equation to define y:
9x + y = 28
y = 28 - 9x
Now we plug it in to the second equation:
3x + 3y = -12
3x + 3(28 - 9x) = -12
And solve for x:
3x + 84 - 27x = -12
-24x = -96
x = 4
Now we can plug that x value into one of the original equations to find the value of y
9x + y = 28
36 + y = 28
y = 28 - 36
y = -8
Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:
3x + 3y = -12
3x + 3(-8) = -12
3x - 24 = -12
x - 8 = -4
x = 4
So we know our answer is correct.