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VladimirAG [237]
3 years ago
15

[18].Simplify (TTE): x(2x+y+5) - 2(x²+xy+5) + y(x + y) ​

Mathematics
1 answer:
Dovator [93]3 years ago
4 0

Answer:

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10  + y\²

Step-by-step explanation:

Given

x(2x+y+5) - 2(x\²+xy+5) + y(x + y)

Required

Simplify

We have:

x(2x+y+5) - 2(x\²+xy+5) + y(x + y)

Open brackets

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²+xy+5x - 2x\²-2xy-10 + xy + y\²

Collect like terms

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²- 2x\²+xy-2xy+ xy+5x -10  + y\²

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10  + y\²

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Allisa [31]

Answer:

x = -4, x = 1

Step-by-step explanation:

Now I do not know why you said done, but just saying, if you are done with a question, you should delete it. Now I am just going to assume you knew this and move on with the solution of the problem.

When you factor this equation, you will get (x+4)(x-1).

You can then solve for x using zero product property. The first root is -4 and the second root is 1.

4 0
3 years ago
Write an equation in slope intercept form for the line with slope 3/2 and y intercept -1
Basile [38]

Answer:

y=3/2x+-1

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Miguel is a golfer, and he plays on the same course each week. The following table shows the probability distribution for his sc
aivan3 [116]

1) 4.55

2) Short hit

Step-by-step explanation:

1)

The table containing the score and the relative probability of each score is:

Score 3 4 5 6 7

Probability 0.15 0.40 0.25 0.15 0.05

Here we call

X = Miguel's score on the Water Hole

The expected value of a certain variable X is given by:

E(X)=\sum x_i p_i

where

x_i are all the possible values that the variable X can take

p_i is the probability that X=x_i

Therefore in this problem, the expected value of MIguel's score is given by:

E(X)=3\cdot 0.15 + 4\cdot 0.40 + 5\cdot 0.25 + 6\cdot 0.15 + 7\cdot 0.05=4.55

2)

In this problem, we call:

X = Miguel's score on the Water Hole

Here we have that:

- If the long hit is successfull, the expected value of X is

E(X)=4.2

- Instead, if the long hit fails, the expected value of X is

E(X)=5.4

Here we also know that the probability of a successfull long hit is

p(L)=0.4

Which means that the probabilty of an unsuccessfull long hit is

p(L^c)=1-p(L)=1-0.4=0.6

Therefore, the expected value of X if Miguel chooses the long hit approach is:

E(X)=p(L)\cdot 4.2 + p(L^C)\cdot 5.4 = 0.4\cdot 4.2 + 0.6\cdot 5.4 =4.92

In part 1) of the problem, we saw that the expected value for the short hit was instead

E(X)=4.55

Since the expected value for X is lower (=better) for the short hit approach, we can say that the short hit approach is better.

8 0
3 years ago
If x is an even integer and y is an odd integer than x + y is a rational number. A) Always True B) Sometimes True C) Usually Tru
Katyanochek1 [597]
A) Always TRue
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7 0
3 years ago
What is the approximate circumference of a circle with a diameter of 300 feet
almond37 [142]
Circumference = 2πr

Since you know the diameter is 300, you divide it by 2 to find the radius. Therefore, the radius is 150.
Now plug it into the formula: C = 2(3.14)(150)
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Answer: Circumference is 942 feet
6 0
2 years ago
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