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Reil [10]
2 years ago
10

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea

te a perfect square trinomial?
x^2+b/ax+_=-c/a+_
Mathematics
1 answer:
nignag [31]2 years ago
6 0

The expression that would be added to both sides is (b/2a)^2

<h3>How to determine the expression?</h3>

The equation is given as:

x^2 + b/ax + __ = c/a + __

Take the coefficient of x

b/a

Divide by 2

b/2a

Square the expression

(b/2a)^2

Hence, the expression that would be added to both sides is (b/2a)^2

Read more about quadratic equation at:

brainly.com/question/10449635

#SPJ1

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A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to
Archy [21]

Answer:

0.2916, 0.1488, 0.0319

Step-by-step explanation:

Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.

Since each trial is independent there is a constant probability for any random car to need oil is 0.10

Let X be the number of cars that need oil

A) Here X is BIN(4,0.1)

P(X=1) = 4C1(0.1)(0.9)^3 \\= 0.2916

B) Here X is Bin (8, 0.1)

P(x=2) = 8C2 (0.1)^2 (0.9)^6\\\\=0.1488

C) Here X is Bin (20,5)

P(x=5) = 20C5 (0.1)^5 (0.9)^{15} \\=0.0319

3 0
3 years ago
Need help with this math ​
UNO [17]

Step-by-step explanation:

set up a proportion for a.

225/30=x/195. x=1462.5 milligrams daily

for b, if he gets 700 mg every 8 hours he only gets it 3 times a day. 700*3 is 2100, which means he is overdosing

7 0
3 years ago
What is 2x-3y=7 please help thanks
Dennis_Churaev [7]
Simplifying -2x + -3y = -7

Solving -2x + -3y = -7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation. -2x + -3y + 3y = -7 + 3y

Combine like terms: -3y + 3y = 0 -2x + 0 = -7 + 3y -2x = -7 + 3y

Divide each side by '-2'. x = 3.5 + -1.5y Simplifying x = 3.5 + -1.5y
3 0
3 years ago
PLEASE HELP
EastWind [94]

1 at runner can run 6mph you n 3 minutes

2nd runner can 6mph in 2*3=6

1st runner can run 9 mph in 9*3=27

2nd runner can run 9mph in 9*6=54

5 0
3 years ago
-6= 21 - n<br> What is n?
Katarina [22]
Hey there! :)

If you switch it around, it becomes: n + -6 = 21, which is also equal to:

21 - (-6) = 21 + 6 = 27
(Negative and negative together makes positive)

n = 27

Hope this helps :)
4 0
3 years ago
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