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trapecia [35]
3 years ago
15

10xy(4xy^3-7xy+9y^2)

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
3 0

Answer:

40x^{2} y^{4} -70x^{2} y^{2} +90xy^{3}

Step-by-step explanation:

10xy(4xy^{3} -7xy+9y^2)  

1. 10xy · 4xy^3 = 40x^2y^4

2. 10xy · -7xy = -70x^{2} y^{2}

3. 10xy · 9y^2 = 90xy^3

Final step: add up all of those values together to make an equation!

Answer:  40x^2y^4+ -70x^2y^2+ 90xy^3

Final Answer: 40x^2y^4-70x^2y^2+90xy^3

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Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the
Llana [10]

Answer:

  h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

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<h3>f(x)</h3>

The equation is written in vertex form:

  f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'

The vertical line through the vertex is x=h.

Your equation is ...

  f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

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<h3>g(x)</h3>

The given equation can be written in vertex form:

  g(x) = 5x² -10x +7

  g(x) = 5(x² -2x) +7

  g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

  g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

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<h3>h(x)</h3>

Your problem statement tells us ...

  h(x) = -(x +2)² +2

so (h, k) = (-2, 2) and the line of symmetry is x=-2.

The coordinates of the vertex can also be read from the graph: (-2, 2).

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<h3>order</h3>

The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

7 0
2 years ago
PLZZZ HELP FAST WILL GIVE BRAINLYEST!!!!!!!!!!!
morpeh [17]

Answer:

Changing the net force on an object can either impress on it even more force in the direction that it is moving, making it go faster, or if you apply more net force on the object against it, then it decreases acceleration

Step-by-step explanation:

5 0
3 years ago
On average, Tanner has noticed that 22 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probabi
blondinia [14]

Answer:

0.11069

Step-by-step explanation:

We will assume that the trains pass by his house following a uniform distribution with values between 0 and 24. The probability of a train passing on a 9-hour time period is 9/24 = 3/8 = 0.375. Lets call Y the amount of trains passing by his house during that 9-hour period. Y follows a Binomail distribution with parameters 22 and 0.375.

P(Y ≤ 5) = P(Y = 0) + P(Y=1) + P(Y=2) + P(Y=3) + P(Y=4) + P(Y=5) =

{22 \choose 0} * 0.375^0*(1-0.375)^{22} + {22 \choose 1}*0.375^1*(1-0.375)^{21} +\\\\{22 \choose 2} * 0.375^2*(1-0.375)^{20} + {22 \choose 3}*0.375^3*(1-0.375)^{19}  + \\{22 \choose 4} * 0.375^4*(1-0.375)^{18} + {22 \choose 5}*0.375^5*(1-0.375)^{17} = 0.11069

I hope that works for you!

4 0
3 years ago
In ΔHIJ, the measure of ∠J=90°, IJ = 3.2 feet, and JH = 9.6 feet. Find the measure of ∠H to the nearest tenth of a degree.
alexgriva [62]

Answer:

J

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
3. Which linear equation corresponds to the line graph?
iogann1982 [59]

Answer:

Y=1/3x

Step-by-step explanation:

1) there is no y intercept as x=0 when y=0 so that rules out y=x-2

2) next, we will use the formula for slope to find the value of m

Y2-Y1/X2-X1

Where y2=-1

Y1=0

X2=-3

X1=0

So

-1-0/-3-0=-1/-3

Aka 1/3

So y=1/3x

Hope this helps!

3 0
4 years ago
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