Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping?
Answers
Answer:
(x-12)(x^2-2)
Step-by-step explanation:
Factor the polynomial by grouping
We group first two terms and last two terms
Now we factor out GCF from each group
GCF of x^3 -12x^2 is x^2
GCF of -2x+24 is -2
(x-12)(x^2-2)
The question is
Shows the factor of x³-12x²-2x+24 by grouping method.
Now,
take ' x² ' common from first two terms and ' -2 ' from the last two terms.
x³-12x²-2x+24
=x²(x-12)-2(x-12)
=(x-12)(x²-2) are factors.
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-3x + 2y = 9
A. (3,9)
B. (-27,9)
C. (-3,-6)
D. (-9,9)
Answers
use elimination
add them together to cancel x terms
3x-4y=9
-3x+2y=9 +
0x-2y=18
-2y=18
divide by 2
-y=9
multiply -1
y=-9
subsituete
3x-4y=9
3x-(4 times -9)=9
3x-(-36)=9
3x+36=9
subtract 36 from both sides
3x=-27
divide both sides by 3
x=-9
x=-9
y=-9
the answer is in (x,y) form
(-9,-9)
the answer is none of them (D is closest)
Answer:
(-9,-9)
Explanation:
The two given equations are:
3x - 4y = 9
-3x + 2y = 9
First step is to add the two equations in order to eliminate the x.
This will give us:
-4y + 2y = 9 + 9
-2y = 18
y = -9
Now, we substitute with the value of y in any of the equations to get x as follows:
3x - 4y = 9
3x - 4(-9) = 9
3x + 36 = 9
3x = -27
x = -9
Hope this helps :)
Answers
Answer:
84
Step-by-step explanation:
there are 7 days in a week so u mutiply they 3 weeks by 7 and you get 21 mutiply that by the 4 hours that he played and your answers will be 84
Answer:
84 hours
Step-by-step explanation:
For a week Jamie spent a total of 28 hours (4 hours x 7 days). Since Jamie played for 3 weeks, all you need to do is multiply 28 times 3 = 84. ( 28 hours x 3 weeks)
Answers
Answer:
The correct option is;
Option 3. 2.5
Step-by-step explanation:
From the graph of the function y = h(x), where h of x h(x) > 0 and x > 0 we have;
The first interval where y =h(x) > 0 occurs between x= 0 and x = 0.8
The second interval where y =h(x) > 0 occurs between 2.2 and 4 which is a range of 4 - 2.3 = 1.7
The total interval where y =h(x) > 0 occurs is therefore = 0.8 + 1.7 = 2.5
Thus the function y = h(x), is positive over an interval on the x-axis = 2.5.
Answer:
Option 3. 2.5
Step-by-step explanation:
Answers
Here are a few:
2.1
2.2
2.3
2.3000000001
2.30000000000000006
2.5
2.00009
.
.
etc.
How to find them:
You probably never heard this before, but I'll bet
you'll remember it from now on:
ANY number that you can write down on paper completely, using digits
and a decimal point if you need it but no symbols, is a rational number.
If you can write it down completely without any 'comments', then it's rational.
Answers
Answer:
(4, 7 )
Step-by-step explanation:
given the 2 equations
3x - 8y + 44 = 0 → (1)
7x = 12y - 56 ( subtract 12y - 56 from bpth sides )
7x - 12y + 56 = 0 → (2)
multiplying (1) by 7 and (2) by - 3 and adding the result will eliminate x
21x - 56y + 308 = 0 → (3)
-21x + 36y - 168 = 0 → (4)
add (3) and (4) term by term to eliminate x
(21x - 21x) + (- 56y + 36y) + (308 - 168) = 0
0 - 20y + 140 = 0 ( subtract 140 from both sides )
- 20y = - 140 ( divide both sides by - 20 )
y = 7
substitute y = 7 into either of the 2 orinal equations and solve for x
substituting into (1)
3x - 8(7) + 44 = 0
3x - 56 + 44 = 0
3x - 12 = 0 ( add 12 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
solution is (4, 7 )