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Bogdan [553]
3 years ago
8

according to the rational root theorem which of the following are possible roots of the polynomial function below? F(x)=6x^3-7x^

2+2x+8

Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0

Answer:

Hello,

Step-by-step explanation:

all potential roots are of the form a/b where a is a divisor of 8

and b is a divisor of 6 ( in Z)

So A,D,E,F may be roots

but B and C not.

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I don’t understand how to do this problem. How would I solve it?
artcher [175]

Answer:

About 2.569 seconds

Step-by-step explanation:

To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula v_f=v_o+at, where v_f is the final velocity, v_o is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):

0=5+(-32)t

t=5/32 seconds

To find the height that this indicates the diver has risen, you can plug this time into the following formula: d=v_o t+\frac{1}{2}at^2

d=5(5/32)+\frac{1}{2}\cdot 32\cdot (5/32)^2\approx 1.172 feet

For the second part, you can use the equation d=v_o t+\frac{1}{2}at^2 again. Since the initial velocity for this part is 0, you can set up the following equation:

92+1.172=\frac{1}{2}\cdot 32 \cdot t^2

t \approx 2.413

Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!

3 0
3 years ago
2x-4y=8 and 7x-3y=61 solve by substitution
Ratling [72]

Answer:

(10, 3)

Step-by-step explanation:

Solve by Substitution

2x − 4y = 8 and 7x − 3y = 61

Solve for x in the first equation.

x = 4 + 2y 7x − 3y = 61

Replace all occurrences of x with 4 + 2y in each e quation.

Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61

x = 4 + 2y

Simplify 7 (4 + 2y) − 3y.

28 + 11y = 61

x = 4 + 2y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

11y = 33

x = 4 + 2y

 Divide each term by 11 and simplify.

y = 3

x = 4 + 2y

 

Replace all occurrences of y with 3 in each equation.

Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)

y = 3

Simplify 4 + 2 (3).

x = 10

y = 3

The solution to the system is the complete set of ordered pairs that are valid solutions.

(10, 3)

The result can be shown in multiple forms.

Point Form:

(10, 3)

Equation Form:

x = 10, y = 3

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Step-by-step explanation:

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