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valina [46]
3 years ago
8

The polynomial 3x 2 - 10x + 8 has a factor of 3 x -4 what is the other factor of 3 x 2 - 10x + 8

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
6 0
The other factor is

3x^2 - 10x + 8 = 3x^2 -6x -4x + 8 \\
= 3x(x - 2) - 4(x - 2) \\
= (3x - 4)(x-2)

(x-2)
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The sum of three numbers is 3. if the second number is subtracted from the sum of the first and third numbers, the result is 9.
Margaret [11]
Let the three numbers be x, y, and z.

If the sum of the three numbers is 3, then x+y+z=3

If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9

If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5

This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5

First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3

Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4

Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2

So the three numbers are 2,-3, and 4.


5 0
3 years ago
What is the inverse of {(2, 4), (-3, 5), (7, -1), (9, 0)}?
jok3333 [9.3K]

Answer:

(4,2),(5,−3),(−1,7),(0,9)

Step-by-step explanation:

5 0
3 years ago
Fully explain why an inefficient resource allocation leads an economy to produce at a point inside its production possibilities
Stella [2.4K]
Production possibilities frontier, PPF, is defined as a representation of the point at which a country’s economy is most efficiently producing its goods and services. Efficient production means allocating its resources in the best way possible.
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The points in the PPF shifts outward. The more efficient production is the more the PPF shifts outward. With this in mind, any point found inside the PPF means that there is inefficient resource allocation. If the PPF shifts inward, it means that the efficiency production is regressing and available resources are not fully used to its potential which will lead to a downward turn of the economy. 


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6 0
3 years ago
Giving brainliest to CORRECT answer.
gavmur [86]

Answer:

Graph A

Step-by-step explanation:

y =  {x}^{2}  - 6x - 7 \\ plug \: y = 0 \\  {x}^{2}  - 6x - 7 = 0 \\  {x}^{2}  - 6x + 9 = 7 + 9 \\ (x - 3)^{2}  = 16 \\ (x - 3) =  \pm 4 \\ x = 4 + 3 \: or \: x =  - 4 + 3 \\ x = 7 \: or \: x =  - 1

Its mean graph should intersect x axis at x = 7 and x = - 1. This everything is satisfied by graph A.

3 0
3 years ago
Read 2 more answers
What is 4.338 as a fraction when the 338 is repeating<br>i give brianliest
Inga [223]

If <em>x</em> = 4.338338338…, then

1000<em>x</em> = 4338.338338338…

and subtracting <em>x</em> from this eliminate the trailing decimal.

1000<em>x</em> - <em>x</em> = 4338.338338338… - 4.338338338…

999<em>x</em> = 4334

<em>x</em> = 4334/999

6 0
3 years ago
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