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kicyunya [14]
3 years ago
7

Simplify the following expression and justify each step in your simplification.

Mathematics
2 answers:
noname [10]3 years ago
7 0
Workings
5(7 - x) + 6x(3x + 4) \\  = 35 - 5x + 18 {x}^{2}  + 24x \\  = 18  {x}^{2} + 19 + 35
Zina [86]3 years ago
7 0

Answer:

18x^2+19x+35

Step-by-step explanation:

We have been given an expression 5(7-x)+6x(3x+4). We are asked to simplify our given expression.

We will use distributive property a(b+c)=ab+ac to solve our given problem.

5\cdot 7-5\cdot x+6x\cdot 3x+6x\cdot 4

35-5x+18x^2+24x

Combine like terms:

18x^2+24x-5x+35

18x^2+19x+35

Therefore, the simplified form of our given expression is 18x^2+19x+35.

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Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is a
Svetradugi [14.3K]

Answer:

0.9009

Step-by-step explanation:

Let X be the event that Current will flow

Let Y be the event that the first relay which is 1 is closed

Thus, we can say that every element of Y is in X, but X possesses more elements. Thus, Y ⊂ X.

Thus, we can say that;

P(X ∩ Y) = P(Y)

Thus, given that current flowed, the probability that relay 1 functioned will be expressed as;

P(Y | X) = (P(Y ∩ X))/P(X)

From earlier, we saw that P(X ∩ Y) = P(Y). Thus;

P(Y | X) = P(Y)/P(X)

From the question, P(Y) = 0.9

Since there are 3 relays, then we have;

P(X) = 1 - 0.1³ = 0.999

Thus;

P(Y | X) = 0.9/0.999

P(Y | X) = 0.9009

4 0
3 years ago
Which of the following is a measure of variation for a numerical data set ? Plz help
kipiarov [429]
I’m pretty sure it would be interquartile range, since range is the measure that measures variation within a data set.
5 0
3 years ago
After serving 45 pounds of poultry, a caterer had more than 10 pounds left. How many pounds of poultry did the caterer have orig
alisha [4.7K]
P-45>10  add 45 to both sides

p>55

So the caterer had more than 55 pounds originally.
7 0
3 years ago
Bonita said that the product of 5/6 times 1 2/3 is 7/3 how can you tell her answer is wrong?
kotegsom [21]
The answer is really 1 5/6 because 5/6 + 2/3=5/6 NOT 7/3 so of course she is wrong
6 0
3 years ago
Read 2 more answers
The point V(2, 3) is translated 8 units left. What are the coordinates of the resulting point,
Nostrana [21]

V(-6,3)

subtract 8 from 2, since it is moving to the left but keep the y the same since it is not translated up or down

4 0
3 years ago
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