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podryga [215]
3 years ago
6

Write the expression as a square of a binomial: 49x^2+12xy+64y^2

Mathematics
1 answer:
DiKsa [7]3 years ago
5 0
STEP
1
:
Equation at the end of step 1

((49 • (x2)) + 12xy) + 26y2
STEP
2
:

Equation at the end of step
2
:

(72x2 + 12xy) + 26y2
STEP
3
:
Trying to factor a multi variable polynomial

3.1 Factoring 49x2 + 12xy + 64y2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :
49x2 + 12xy + 64y2
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Whats the value of b : -8/5b=8
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The value of b is -5

Step-by-step explanation:

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3 years ago
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You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let G j denote the event that the roll
Misha Larkins [42]

Answer:

a. P (R3 | G1)=\frac{1}{5}

b. P (R6| G3)= \frac{1}{3}

c. P(G3|E)=\frac{2}{3}

d. P (E|G3)=\frac{2}{3}

Step-by-step explanation:

The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,

a. The conditional probability that 3 is rolled given that the roll is greater than 1? P (R3 | G1) = \frac{P (R3\bigcap G1)}{P(G1)} = \frac{1/6}{5/6} = \frac{1}{5}

b. What is the conditional probability that 6 is rolled given that the roll is greater than 3? P (R6| G3) = \frac{P (R6\bigcap G3)}{P(G3)} = \frac{1/6}{3/6} = \frac{1}{3}

c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even? P(G3|E) = \frac{P (G3\bigcap E)}{P(E)} = \frac{2/6}{3/6} = \frac{2}{3}

d. Given that the roll is greater than 3, what is the conditional probability that the roll is even? P (E|G3) = \frac{P (E\bigcap G3)}{P(G3)} = \frac{2/6}{3/6} = \frac{2}{3}

6 0
3 years ago
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point-
Elena-2011 [213]

y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so hmmm then we know the slope of that line is -2/3, so we're really looking for the point-slope form of a line with a slope of -2/3 and that passes through (-3 , 8)

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{(-3)})\implies y-8=-\cfrac{2}{3}(x+3)

3 0
1 year ago
HELPPP I NEED HELP DUE VERY SOONNN
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Answer:

x .  1 .  3  .  5  .  7  .  9

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Step-by-step explanation:

X-values are the odd numbers

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8 0
3 years ago
When playing basketball, Jason makes 80% of his free throws. In a recent game Jason attempted 20 free throws. How many free thro
zheka24 [161]

Answer:

<u>It's expected that Jason make 16 out of 20 free throws</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Jason's free-throw scoring average = 80%

2. In a recent game Jason attempted 20 free throws. How many free throws would you expect him to make?

Free throws expected to make by Jason = 20 * 80%

<u>Free throws expected to make by Jason = 16</u>

8 0
3 years ago
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