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Ira Lisetskai [31]
2 years ago
5

48 + 6m use the GCF to rewrite the expression​

Mathematics
1 answer:
Mrrafil [7]2 years ago
7 0
Move all terms containing m to the left all other terms to the right 48+-6m=6m+-6m
48+-6m=0

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Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at
Amiraneli [1.4K]

Answer:

The cubic function is f(x) = (27/32)·x  - 3/32·x³ - -9/32·x² - 9/32

Step-by-step explanation:

The given function is f(x) = a·x³ + b·x² + c·x + d

By differentiation, we have;

3·a·x² + 2·b·x + c = 0

3·a·(-3)² + 2·b·(-3) + c = 0

3·a·9 - 6·b + c = 0

27·a - 6·b + c = 0

3·a·(1)² + 2·b·(1) + c = 0

3·a + 2·b + c = 0

a·(-3)³ + b·(-3)² + c·(-3) + d = -3

-27·a + 9·b - 3·c + d = -3...(1)

a + b + c + d = 0...(2)

Subtracting equation (1) from equation (2) gives;

28·a - 8·b + 4·c = 3

Therefore, we have;

27·a - 6·b + c = 0

3·a + 2·b + c = 0

28·a - 8·b + 4·c = 0

Solving the system of equations using an Wolfram Alpha gives;

a = -3/32, b = -9/32, c = 27/32 from which we have;

a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0

d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32

The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).

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2 years ago
Please answersssss 15 pointssss
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The answer to this problem is B
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3 years ago
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A doctor suspects you might have a certain strain of flu and wants to test your blood for the presence of markers for this strai
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A, B, and C. all of them are reasonable choices and wouldn’t give any conclusion, because not everyone has the flu
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the value of a baseball card can be represented by the equation y equals 3x + 39 where X represents the number of years that Rob
Blababa [14]

Answer:

I need the values of either X or Y to solve this. I can solve for what X is though.

Step-by-step explanation:

A: X = -12

B: X =78

C: X = 12.13

I hope this helps you, but since both X and Y are unknown variables, you can't solve it, only simplify (which it already is.)

3 0
3 years ago
On the following number line, two rational numbers are graphed.Represent the two numbers as fractions (or mixed numbers) in lowe
nordsb [41]
The first graphed rational number is at the middle of -2 and -1, thus the number represented is -1 \frac{1}{2}

The second graphed number is five out of six places from from 0 to 1, thus the number graphed is 0+ \frac{5}{6} = \frac{5}{6}

The difference between the two numbers can be represented as
-1 \frac{1}{2} - \frac{5}{6}
or
\frac{5}{6} -(-1 \frac{1}{2} )= \frac{5}{6} +1 \frac{1}{2}

To find the difference,

-1 \frac{1}{2} - \frac{5}{6} \\ \\ =-1 \frac{3+5}{6}  \\  \\ =-1 \frac{8}{6} =-2 \frac{2}{6}  \\  \\ =-2 \frac{1}{3}

Also,

\frac{5}{6} +1 \frac{1}{2} \\  \\ =1 \frac{5+3}{6}  \\  \\ =1 \frac{8}{6} =2 \frac{2}{6}  \\  \\ =2 \frac{1}{6}
4 0
3 years ago
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