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wolverine [178]
3 years ago
7

Multiply the expression 2/3 (6x + 15y) and simplify completely.

Mathematics
1 answer:
12345 [234]3 years ago
6 0

Answer: 4x+10y

you can't simplify 4x+10y

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Find the zeros of y = x + 6x- 4 by completing the square.
dsp73

Answer:

\large\boxed{x=-3\pm\sqrt{13}}

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\\\x^2+6x-4=0\qquad\text{add 4 to both sides}\\\\x^2+2(x)(3)=4\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=4+9\\\\(x+3)^2=13\Rightarrow x+3=\pm\sqrt{13}\qquad\text{subtract 3 from both sides}\\\\x=-3\pm\sqrt{13}

8 0
3 years ago
A fair tossed 10 times . Find the probability of obtaining (i) exactly four heads (ii) 3 heads and 7 tails (iii) at least one he
vodka [1.7K]

Answer:

0.205 ; 0.117 ; 0.999

Step-by-step explanation:

Using binomial probability distribution :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Probability of success, p = 0.5

P(x = 4) = 10C4 * 0.5^4 * 0.5^6

P(X = 4) = 0.205078125

B.) 3 heads and 7 tails

P(X = 7) = 10C7 * 0.5^7 * 0.5^3

P(X = 7) = 120 * 0.0009765625

P(X = 7) = 0.117

P(atleast one head)

P(x greater than equal to 1) = p(x =1) +... P(x = 10)

Using a binomial probability calculator :

P(x greater than equal to 1) = 0.999

3 0
3 years ago
PLZ HELP FAST multiple choice<br>touching spirit bear​
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Look this up
On quizlet it will give you the answer
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A circle has a radius of 3. An arc in this circle has a central angle of 20 degrees. What is the length of of the arc?
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Step-by-step explanation:

just divide than subtract

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4 years ago
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Answer:

Here. Tell me if you don't understand my writing.

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