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jonny [76]
3 years ago
5

Which function is best Represented by this graph

Mathematics
1 answer:
Fynjy0 [20]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello,

I do not see the full list of answers but I can say that 0 and 6 are the roots of this parabola

so

    h(x)=x(x-6)=x^2-6x

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

3 0
3 years ago
Let P(x) = 3x³-ax+b. If P(1) = P(-1) and P(2)=16, find the values of a and b
kozerog [31]

P(1) = P(-1)

P(1) = 3 - a + b
P(-1) = -3 + a + b

-> 3 - a + b = -3 + a + b
-> 3 - a + b + 3 - a - b = 0
-> 6 - 2a = 0
-> a = 3.

P(2) = 24 - 2a + b -> 24 - (2a - b) = 16 -> 2a - b = 8
-> 6 - b = 8
b = -2.

So, a = 3 and b = -2

Recheck : P(1) = 3 - 3 + (-2) = -2
P(-1) = -3 + 3 + (-2) = -2 => P(1) = P(-1) (true)

P(2) = 24 - 6 + (-2) = 16.

6 0
2 years ago
The graph of a proportional relationship passes through (6, 48) and (1, y). Find y.
ser-zykov [4K]
The answer is 8.  this is because 6/1=6 so 48/6= 8
     

4 0
3 years ago
Two angles are supplementary if the sum of their measures is 180 degrees. find two supplementary angles such that the smaller is
kaheart [24]
If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
8 0
3 years ago
An athlete eats 55g of protein per day while training. how much protein will she eat during 25 days of training? write your answ
Triss [41]

55 g x 25 days = 1375 grams

1gram = 0.001 kg

1375 x 0.001 = 1.375 kg

 round the answer as needed

5 0
3 years ago
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