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lana [24]
3 years ago
6

Which of the following shows the sum of the polynomials −3x2+3y2+4x and 4x2−4y+2? A. −3x2+3y2+4x+4x2−4y+2 B. −x2+3y2+4x−4y+2 C.

x2+3y2+4x−4y+2 D. 7x2+3y2+4x+4x2−4y+2
Mathematics
2 answers:
Fed [463]3 years ago
8 0

-3x² + 3y² + 4x  + 4x² - 4y + 2

Add like terms.

x² + 3y² + 4x - 4y + 2

So the answer is D.

dem82 [27]3 years ago
3 0

D. 7x2+3y2+4x+4x2−4y+2 is your correct answer

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Evaluate the expression when r = 3.<br> 15r
Liula [17]

Answer:

45

Step-by-step explanation:

Because if you replace the r with 3, it would be 15(3).

15(3) is the same as 15 × 3.

15 × 3 = 45

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8 0
3 years ago
Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls
murzikaleks [220]

Answer:

a) 0.73684

b) 2/3

Step-by-step explanation:

part a)

P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)}

Using conditional probability as above:

(A,B,C)

Cases for numerator when:

P( A is 1 and exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1)

= (\frac{1}{6}* \frac{11}{12}*\frac{1}{4})  + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) = 0.048611111

Cases for denominator when:

P( Exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1) + P(not 1, 1 , 1)

= (\frac{1}{6}* \frac{11}{12}*\frac{1}{4})  + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) + (\frac{5}{6}*\frac{1}{12}*\frac{1}{4})= 0.0659722222

Hence,

P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)} = \frac{0.048611111}{0.06597222} \\\\= 0.73684

Part b

P ( B = 12 / A+B+C = 21) = \frac{P ( B = 12 and A+B+C = 21)}{P (A+B+C = 21)}

Cases for denominator when:

P ( A + B + C = 21) = P(5,12,4) + P(6,11,4) + P(6,12,3)

= 3*P(5,12,4 ) =3* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{96}

Cases for numerator when:

P (B = 12 & A + B + C = 21) = P(5,12,4) + P(6,12,3)

= 2*P(5,12,4 ) =2* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{144}

Hence,

P ( B = 12 / A+B+C = 21) = \frac{\frac{1}{144} }{\frac{1}{96} }\\\\= \frac{2}{3}

4 0
3 years ago
The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
zheka24 [161]

Answer:

a=7.85-1/2^b

Step-by-step explanation:

2a=15.7-b Move variable to the right side and change its sign

2a=15.7-b Divide both sides of the equation by 2

a=7.85-1/2^b The final solution for a is


4 0
3 years ago
Find the measure of the arc or angle indicated. or find the value of x
bonufazy [111]
#8 you do 360= 112+136+x... then you solve for x. X=112. Now you divide this by two since it is an inscribed angle. For #9 I have this very simplified work in the picture. Sorry I did not do #10

5 0
3 years ago
peter owns a lawn mowing service.For every 3 hours of lawn mowing,peter charges $28.80.Write an equation that models the relatio
Daniel [21]
\$ 28.80\div 3=\$ 9.6 - charge per hour

\boxed{y=9.6h}
8 0
3 years ago
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