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aliya0001 [1]
3 years ago
14

Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer:

not a factor

Step-by-step explanation:

If (x - 3) is a factor then f(3) = 0

f(x) = 2x² - 4x + 30

f(3) = 2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0

Since f(3) ≠ 0 then (x - 3) is not a factor of f(x)

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Which system of equations is consistent and dependent?
MAXImum [283]

Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

4x − y = −11

-4x - 6y = -10

------------------

0  - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

4x − y = −11

4x - 3 = -11

4x = -8

x = -8/4

x = 2

so the solution is y = 3 and x =2

4x − 9y = −21

−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

4x − 9(3) = −21

4x - 27 = -21

4x = 6

x = 6/4 = 3/2

so the solution is x = 3/2 and y = 3

4x + 3y = 5

2y = −6

we solve for y:

2y = −6

y = -6/2

y = -3

we do substitute in the first equation:

4x + 3y = 5

4x + 3(-3) = 5

4x - 9 = 5

4x = 14

x = 14/4

x = 7/2

so the solution is x = 7/2 and y = -3

7x − 3y = −11

9x = −6

we solve for x:

9x = −6

x = -6/9

x = -2/3

then we substitute in the first equation the result found:

7x − 3y = −11

7(-2/3) − 3y = −11

-14/3 - 3y = -11

we multiply by 3 to eliminate fractions:

-14 - 9y = -33

9y = 19

y = 19/9

so the solution is x = -2/3 and y = 19/9

12x − 3y = −33

14x = −28

we solve for x:

14x = −28

x = -28/14

x = -2

then we substitute in the first equation:

12x − 3y = −33

12(-2) − 3y = −33

-24 - 3y = -33

3y = 9

y = 3

then the solution is x = -2 and y = 3

3 0
3 years ago
Read 2 more answers
Imani was assigned to make 64 cookies for the bake sale. If Imani made 25% more than they were assigned, how many cookies were m
Marina CMI [18]

Answer:

80 cookies

Step-by-step explanation:

25% of 64 is 16
16+64=80

5 0
2 years ago
Complete the place value chart for the following number.Write its number name and tell the value of the underlined digit.
makkiz [27]

Answer:

two hundredths

Step-by-step explanation:

6 is in the ones place. 3 is in the tenths place. 2 is in the hundredths place

5 is in the thousandths place.

7 0
3 years ago
Read 2 more answers
What is 3a+2b-5a+b simplified?
marishachu [46]

Answer:

-a + b

Step-by-step explanation:

7 0
3 years ago
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What number should be placed in the box to help complete the division calculation?
Anarel [89]
344 should be placed in the box
3 0
3 years ago
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