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Angelina_Jolie [31]
3 years ago
9

MATH HELP PLEASE 50 POINTS:

Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

f(x)=-a(x+2)(2x-1)(x-3) where a>0.

To graph the the polynomial, begin in the left top of quadrant 2. Then draw downwards to the first real zero on the x-axis at -2. Cross the x-axis and then curve back up to 1/2 on the x-axis. Cross through again and curve back down to cross for the last time at 3 on the x-axis. The graph then ends going down towards the right in quadrant 4. It forms an s shape.

Step-by-step explanation:

The real zeros are the result of setting each factor of the polynomial to zero. By reversing this process, we find:

  • zero -2 is factor (x+2)
  • zero 1/2 is factor (2x-1)
  • zero 3 is factor (x-3)

We write them together with an unknown leading coefficient a which is negative so -a.

f(x)=-a(x+2)(2x-1)(x-3) where a>0

The leading coefficient of a polynomial determines the direction of the graph's end behavior.

  • A positive leading coefficient has the end behavior point up when an even degree and point opposite directions when an odd degree with the left down and the right up.
  • A negative leading coefficient has the end behavior point down when an even degree and point opposite directions when an odd degree with the left up and the right down.
  • This graph has all odd multiplicity. The graph will cross through the x-axis each time at its real zeros.

To graph the the polynomial, begin in the left top of quadrant 2. Then draw downwards to the first real zero on the x-axis at -2. Cross the x-axis and then curve back up to 1/2 on the x-axis. Cross through again and curve back down to cross for the last time at 3 on the x-axis. The graph then ends going down towards the right in quadrant 4. It forms an s shape.

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Factor yz + 6 + y +6z.<br> z + 1)(y + 6)<br> (z - 1)(y + 6)<br> (z + 6)(y - 1)
Sedbober [7]
The answer is the first one: (z+1)(y+6).

Explanation:

yz + 6 + y + 6z

= yz + y + 6 + 6z

= y(z+1) + 6(1+z)

= (z+1)(y+6)

For (z+1), you can also write (1+z), it doesn’t matter.

Hope it helps!

8 0
3 years ago
One equation in a system of equations is y = 3/4x - 1. For which second equation would the system have exactly one solution? cho
Zina [86]

Answer:

ace

Step-by-step explanation:

5 0
2 years ago
Can u please answer the question
Sergeeva-Olga [200]

Answer:  6 pieces

=======================================================

Explanation:

3/4 = 6/8 after multiplying both parts by 2

We have a ribbon that is 6/8 of an inch long. We want to cut it into 1/8 inch pieces. We can see there will be exactly 6 pieces

Note how 6*(1/8) = 6/8

Or we can think of it as "we have a ribbon that is 6 units long and we want to cut it into pieces that are 1 unit each, so we'll have 6 pieces total". Replace "unit" with "1/8 inch" and you'll have the same idea.

6 0
3 years ago
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Choose the equation that is equivalent to: 4(8x+6)=20
KengaRu [80]

Answer:

B

Step-by-step explanation:

32x + 24 = 20

24 - 24= 0

20 - 24=  -4

32x = -4

32x/32

x

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7 0
2 years ago
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The first three steps of completing the square to solve the quadratic equation x² + 4x - 6 = 0, are
slavikrds [6]

Answer:

The next 3 steps are

Step 4: (x+2)=\pm \sqrt{10}

Step 5: x=-2\pm \sqrt{10}

Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

Step-by-step explanation:

Given:

Quadratic Equation is

x² + 4x - 6 = 0

To Find:

x = ?

Solution:

Step 1: x2 + 4x = 6

Step 2: x2 + 4x + 4 = 6 + 4

Step 3: (x + 2)2 = 10

Step 4: (x+2)=\pm \sqrt{10}

Step 5: x=-2\pm \sqrt{10}

Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

8 0
3 years ago
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