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anzhelika [568]
3 years ago
6

More than half of the students were excited about the project. In fact, were excited. If 10 students were not

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

Answer:1/2 divided by 10

Step-by-step explanation:

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Given P(x) = 2x3 - 11x2 + 18x - 15 is divided by x – 3. Use synthetic division to find the quotient and the remainder.
katrin [286]
You can find the remainder right away by simply plugging in x=3. The polynomial remainder theorem guarantees that the value of p(3) is the remainder upon dividing p(x) by x-3, but I digress...

Synthetic division yields

3   |   2   -11   18   -15
.    |           6   -15     9
- - - - - - - - - - - - - - - - -
.    |   2     -5     3     -6

which translates to

\dfrac{2x^3-11x^2+18x-15}{x-3}=2x^2-5x+3-\dfrac6{x-3}

(and note that p(3)=2(3)^3-11(3)^2+18(3)-15=-6, as expected)
5 0
3 years ago
HELP PLEASE <br> I DONT UNDERSTAND THIS AT ALL <br> slope =
Elanso [62]

Answer:

look at the picture i have sent

5 0
3 years ago
The constant of proportionality for this relationship is
Vera_Pavlovna [14]

Answer: The constant of proportionality is 1.5

Step-by-step explanation:

The equation for constant of proportionality is y=KX. the K stands for the constant of proportionality and since the constant proportionality is 1.5 you will take 1.5 * x and for example x is 2 so you do 1.5 * 2 and you get 3 and 3 is your y. If you plug in the equation you're saying 3 equals 1.5 * 2 which is right.

7 0
3 years ago
Read 2 more answers
The diameter of a spherical balloon that is being filled with air is increasing at the rate of 3 inches more than the time, t. W
Harrizon [31]

Answer:

V=36 \pi cubic inches

Step-by-step explanation:

Diameter is increasing at 3 inches more than time, When t = 3

Diameter (d) = 3+3 = 6

d = 6

Radius is HALF of diameter, so

r = 6/2 = 3

Now, the volume of a sphere is given by the formula:

V=\frac{4}{3}\pi r^3

Putting r = 3, we get:

V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (3)^3\\V=36 \pi

The volume would be 36π

5 0
3 years ago
9x + Зу = -3<br> 2х - у = -4
Irina18 [472]
Answer: (-1, 2)

explanation:

3(2x-y=-4)
6x-3y=-12

9x+3y=-3
6x-3y=-12

15x=-15
x=-1

2(-1) - y = -4
-2-y=-4
-y=-2
y=2
5 0
2 years ago
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