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kotegsom [21]
3 years ago
8

State a cubic or quartic function with the least degree possible in intercept form for the given graph. Assume that all x-interc

epts are integers, and that the constant factor a is either 1 or −1.
Enter the correct value in the box to answer the question.
y= ?

Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0

Answer:

y = -x^{3} - 2x^{2} + 5x + 6

Step-by-step explanation:

The function will be cubic.  The x-intercepts are -4, -1, and 2

The constant factor is -1 because the graph falls on the right.  So,

y = -(x + 4)(x + 1)(x - 2)

y = -x^{3} -2x^{2} + 5x +6

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How many different committees can be formed from 6 teachers and 37 students if the committee consists of 4 teachers and 4 ​stude
Anna [14]

Answer:

The committee of 8 members can be selected in 990,675 different ways.

Step-by-step explanation:

The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

4 teachers from a set of 6.

4 students from a set of 37.

Then

T = C_{6,4}C_{37,4} = \frac{6!}{4!2!} \times \frac{37!}{4!33!} = 990675

The committee of 8 members can be selected in 990,675 different ways.

4 0
2 years ago
Solve and show your work<br><br> 1. -3(x - 2) &lt;1/3
Nutka1998 [239]

Answer:

x>17/9

Step-by-step explanation:

-3(x-2) < 1/3

-3x+6 < 1/3

-3x < 1/3-6

-3x < -17/3

x > 17/9

3 0
3 years ago
Find angle B. What is angle B.
julsineya [31]

Answer:

B=45 Degrees

Step-by-step explanation:

You can use law of sines to answer. Law of Sines states that \frac{sin(a)}{A} =\frac{sin(b)}{B}. That means that \frac{sin(60)}{4\sqrt{6} }=\frac{sin(b)}{8}. Multiplying 8 to both sides gives us \frac{8sin(60)}{4\sqrt{6} }=sin(b). By using inverse of sin, we get b =  sin^{-1} (\frac{8sin(60)}{4\sqrt{6} } ). Plugging that into a calculator gives us b=45 degrees.

7 0
2 years ago
The graph shows time and distance traveled for two objects.
lianna [129]
C is the answer for the question
6 0
3 years ago
Read 2 more answers
Need help on this one question please
Elan Coil [88]
P(x, y) Q(x,y)
P(-2, -1) start at 0. Go to the left two squares, then go down 1 square. mark a point there
Q(2, 4) start at 0. Go to the right two squares, go up 4 squares. mark a point there.
connect two points
make a right triangle
Then use the pythereom 
4^{2} + 5^{2} = (PQ)^{2}
41 = (PQ)^{2}
\sqrt{41}  = PQ

6 0
3 years ago
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