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RideAnS [48]
3 years ago
9

The function. In the graph is f(x) =

Mathematics
1 answer:
Tanya [424]3 years ago
4 0

Answer:

x^3-2x^2-5x+6

Step-by-step explanation:

We have been given a graph of the function f(x).

Now we need to use that graph to find the equation of the graph and match with the correct choice from the give choices:

x^4-2x^2+5x+6

x^3-2x^2-5x+6

x^3-2x^2+5x+6

-x^4-2x^2+5x+6

We see that graph has end points in opposite direction then the degree of polynomial must be ODD.

Available degrees are 3 and 4. Degree 3 is odd so it is choice B or C.

Only x^3-2x^2-5x+6 satisfies the given points from graph.

Hence correct choice is x^3-2x^2-5x+6.

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Marcus played 3 different activities this week after school. The time he spent playing is described below. Swam forof an hour Pl
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Answer:

A

Step-by-step explanation:

We can find a common denominator for all of these fractions, compute, and then compare the values to find the right answer.

8 0
2 years ago
Evaluate the expression for x=10.
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Answer:

The answer is X - 10 = 0

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2 years ago
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A certain bacteria culture grows at a rate if 18% everday. There are currently 420 bacteria. How many bacteria will there be on
Anettt [7]

Answer:

1579

Step-by-step explanation:

There is a particular formula you must use and it leads to this 420(1 + 0.18)^8=1579

6 0
2 years ago
Triangle ABC has side lengths: V6, V2, and 2/2 units.
Morgarella [4.7K]

Answer:

90°, 60°, and 30°

60°.

Step-by-step explanation:

The triangle ABC has side lengths √6, √2, and 2√2 units.

It is clear that the triangle ABC is right triangle because (2√2)² = (√6)² + (√2)² that means the side lengths satisfy the Pythagoras Theorem.

Now, if the angle between hypotenuse (2√2 units) and base (√2 units) is \theta, then

\cos \theta = \frac{\sqrt{2} }{2\sqrt{2} }  = \frac{1}{2}

Hence, \theta = 60°

Therefore, the three angles of the triangle are 90°, 60°, and 30°.

Now, if the base of the triangle is 16 units, then other two side lengths will also change proportionally to remain the triangle a right triangle.

And in that case the base angle will remain 60°. (Answer)

6 0
3 years ago
Find all pairs of natural numbers which can be the solution to the equation a+b=42.
Setler [38]

Answer:

(1,41), (2,40), (3,39), (4,38), (5,37), (6,36), (7,35), (8,34), (9,33), (10,32), (11,31), (12,30), (13,29), (14,28), (15,27), (16,26), (17,25), (18,24), (19,23), (20,22), (21,21), (22,20), (23,19), (24,18), (25,17), (26,16), (27,15), (28,14), (29,13), (30,12), (31,11), (32,10), (33,9), (34,8), (35,7), (36,6), (37,5), (38,4), (39,3), (40,2), (41,1).

Step-by-step explanation:

To find all pairs of natural numbers which are solution to a+b=42, we need to first choose a value to one of them (let's choose 'a'), and that value will be the lowest possible, so we begin with a=1, and then we increase to 2, and 3, and so on.

For each value of a, we calculate the value of b using the equation.

So, starting with a=1, we have that b=41

Then, with a=2, we have that b=40, and so on.

Doing this until a=41 (so b=1 will be the lowest value possible for b), we have the pairs of natural number we want:

(1,41), (2,40), (3,39), (4,38), (5,37), (6,36), (7,35), (8,34), (9,33), (10,32), (11,31), (12,30), (13,29), (14,28), (15,27), (16,26), (17,25), (18,24), (19,23), (20,22), (21,21), (22,20), (23,19), (24,18), (25,17), (26,16), (27,15), (28,14), (29,13), (30,12), (31,11), (32,10), (33,9), (34,8), (35,7), (36,6), (37,5), (38,4), (39,3), (40,2), (41,1).

5 0
2 years ago
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