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Murljashka [212]
3 years ago
6

In order to solve by completing the square, what value needs to be added to

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0

Answer:

16

Step-by-step explanation:

To find the term needed, use the binomial formula.

(a+b)^2 = a^2 + 2ab + b^2

Let 8x = 2ab, a is by default x, which leaves us with:

8x = 2xb

8 = 2b

b = 4

And by the binomial formula add b^2 to both sides, namely 16.

x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33

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Solve 41-9+(8×2.3)-15+(2.1×4)
dsp73
(8x2.3)= (18.4)
(2.1x4)= (8.4)
Now you should have:
41-9+18.4-15+8.4
9+18= 27
15+8.4= 23.4
Should have:
41-27-23.4= -9.4
6 0
3 years ago
Solve for the variable x+9=12
labwork [276]

Answer:

Step-by-step explanation:

subtract 9 from both sides

x=3

4 0
2 years ago
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A multiple-choice standard test contains total of 25 questions, each with four answers. Assume that a student just guesses on ea
weqwewe [10]

Answer:

a)  8*88*10⁻⁶ ( 0.00088 %)

b) 0.2137 (21.37%)

Step-by-step explanation:

if the test contains 25 questions and each questions is independent of the others, then the random variable X= answer "x" questions correctly , has a binomial probability distribution. Then

P(X=x)= n!/((n-x)!*x!)*p^x*(1-p)^(n-x)

where

n= total number of questions= 25

p= probability of getting a question right = 1/4

then

a) P(x=n) = p^n = (1/4)²⁵ = 8*88*10⁻⁶ ( 0.00088 %)

b) P(x<5)= F(5)

where F(x) is the cumulative binomial probability distribution- Then from tables

P(x<5)= F(5)= 0.2137 (21.37%)

7 0
3 years ago
Find the inverse of f(x)=2x-1
solong [7]

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Let's find the inverse of given function ~

\qquad \sf  \dashrightarrow \: f(x) = 2x - 1

\qquad \sf  \dashrightarrow \: 2x = f(x) + 1

\qquad \sf  \dashrightarrow \: x =  \cfrac{f(x) + 1}{2}

[ now, replace f(x) and x with \sf{ {f}^{-1}(x)} ]

\qquad \sf  \dashrightarrow \: f {}^{ - 1} (x) =  \cfrac{x + 1}{2}

That's the required inverse function ~

8 0
1 year ago
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A student starts at (0,0) and walks to (12, 0), turns and then walks to (7,12). What is the total distance that this student wal
Harman [31]

Answer:

25

Step-by-step explanation:

(0,0) to (12,0) => the distance = 12

(12,0) to(7,12) => the distance =

√[(12-0)²+(7-12)²]=√(144+5) =√169 = 13

so, the total distance = 12+13 = 25

4 0
3 years ago
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