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tensa zangetsu [6.8K]
3 years ago
7

We want to find the zeros of this polynomial:

Mathematics
1 answer:
fredd [130]3 years ago
8 0

Answer:

x = -3 and x = -3/2

Step-by-step explanation:

After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:

p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>

p(x) = x^2(2x+3) <u>-9(2x+3)</u>

Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:

p(x) = (x^2 - 9)(2x+3)

Factor it once more because there's a difference of squares:

p(x) = (x+3)(x-3)(2x+3)

Now just plug in whatever makes the each bracket equal 0:

x = -3, x = 3, and x = -3/2

Those are your zeros.

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L.S.A. = ½ (128)(24)
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6 0
3 years ago
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Mr. Sarpy went to shoot some hoops on the basketball court. For every shot that he made within the three-point line he earned 2
Lostsunrise [7]

Answer:

x + y = 50 (1) and 2x + 3y = 115 (2); x = 35, y = 15

Step-by-step explanation:

Since x represents the number of 2 point shots and y represents the number of 3 point shots. If the total number of shots is 50, then x + y = 50 (1)

Also, the total 2 point shots is number of 2 point shots × points per shot = 2x and the total 3 point shots is number of 3 point shots × points per shot =  3y. Since the total number of points is 115, then

2x + 3y = 115 (2)

So, the system of equations are

x + y = 50 (1) and 2x + 3y = 115 (2)

We can solve for x and y by substituting x = 50 - y into (2)

So, 2(50 - y) + 3y = 115

100 - 2y + 3y = 115

100 + y = 115

y = 115 - 100

y = 15

So, x = 50 - y

= 50 - 15

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6 0
3 years ago
What is the solution? pls help
loris [4]

Answer:

Solve by substitution

[y=5/2x-4]

[y= -x+3]

Substitute y = -x +3

[-x+3=5/2x-4]

Isolate x for -x+3=5/2x-4: x=2

For y = -x+3

Substitute x = 2

y= -2+3

Simplify

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The solutions to the system of equations are:

y=1 x=2

3 0
2 years ago
$29,000;$4 decrease find the new amount given the original amount and the percent of change.
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7 0
3 years ago
Quick sell outlet sold a total of 40 televisions, each of which was either a model p television or a model q television. each mo
saw5 [17]

Answer:

The number of the television sets that is model p is 12

Step-by-step explanation:

Here we have total number of television sold = 40

The model p televisions sold for $30 less than the model q televisions

That is $P = $q - $30

Therefore

Let the quantity of the model p sold be X

Let the quantity of the model q sold be X

Therefore

x + y = 40

Total cost of the television = 40 * 141 = $5640

Therefore, 120*x + 90*y = 5640

Plugging in x = 40 - y in the above equation we get

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y   = -28 and

x = 68

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30x + 3600 = 5640  

If we put

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we get

x = 12 and y = 28

Therefore, since the model p sold for $30 less than the model q, from the solution of equation (3) the number of the television sets that is model p = 12

3 0
3 years ago
Read 2 more answers
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