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3 years ago

Which system of equations has infinitely many solutions?

Mathematics

1 answer:

schepotkina [342]3 years ago

3 0

Answer: B.

$4x - 2y = 8\\-4x + 2y = -8$

Step-by-step explanation:

Let's solve your system by elimination.

4x−2y=8;−2x+2y=6

Add these equations to eliminate y:

4x-2y=8

-2x+2y=6

2x=14

Substitute 7 for x in 4x−2y=8:

(4)(7)−2y=8

−2y+28=8 (Simplify both sides of the equation)

−2y+28+−28=8+−28 (Add -28 to both sides)

−2y=−20

−2y/−2=−20/−2 (Divide both sides by -2)

y=10

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What value of x would make lines l and m parallel

g100num [7]

Answer:wdym

Step-by-step explanation:

7 0

3 years ago

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Let Y1 and Y2 have the joint probability density function given by:

Ann [662]

Answer:

a) k=6

b) P(Y1 ≤ 3/4, Y2 ≥ 1/2) = 9/16

Step-by-step explanation:

a) if

f (y1, y2) = k(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1, 0, elsewhere

for f to be a probability density function , has to comply with the requirement that the sum of the probability of all the posible states is 1 , then

P(all possible values) = ∫∫f (y1, y2) dy1*dy2 = 1

then integrated between

y1 ≤ y2 ≤ 1 and 0 ≤ y1 ≤ 1

∫∫f (y1, y2) dy1*dy2 = ∫∫k(1 − y2) dy1*dy2 = k ∫ [(1-1²/2)- (y1-y1²/2)] dy1 = k ∫ (1/2-y1+y1²/2) dy1) = k[ (1/2* 1 - 1²/2 +1/2*1³/3)- (1/2* 0 - 0²/2 +1/2*0³/3)] = k*(1/6)

then

k/6 = 1 → k=6

P(Y1 ≤ 3/4, Y2 ≥ 1/2) = P (0 ≤Y1 ≤ 3/4, 1/2 ≤Y2 ≤ 1) = p

then

p = ∫∫f (y1, y2) dy1*dy2 = 6*∫∫(1 − y2) dy1*dy2 = 6*∫(1 − y2) *dy2 ∫dy1 =

6*[(1-1²/2)-((1/2) - (1/2)²/2)]*[3/4-0] = 6*(1/8)*(3/4)= 9/16

therefore

P(Y1 ≤ 3/4, Y2 ≥ 1/2) = 9/16

8 0

3 years ago

PLEASE HELP I will give you a brainliest

Fed [463]

Answer:

when x = -1, y = -3

when x = -1, y = -1

when x = -1, y = 1

when x = -1, y = 3

Step-by-step explanation:

x = -1; plug in y = 2(-1) - 1 = -2 - 1 = -3

x = 0; plug in y = 2(0) - 1 = 0 - 1 = -1

x = 1; plug in y = 2(1) - 1 = 2 - 1 = 1

x = 2; plug in y = 2(2) - 1 = 4 - 1 = 3

3 0

3 years ago

Find the equation of the line passing through the point (–1, 0) and parallel to the line y = –1∕2x + 3∕7

PilotLPTM [1.2K]

Answer:

y = -1/2x - 1/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -1/2x + 3/7

Point (-1, 0)

Step 2: Find parallel line

<em>Parallel lines have the same slope as the original but different y-intercepts.</em>

<em>m</em> = -1/2

y = -1/2x + b

0 = -1/2(-1) + b

0 = 1/2 + b

b = -1/2

Step 3: Write parallel line

y = -1/2x - 1/2

7 0

4 years ago

HELP ME?!?!?

OLEGan [10]

Answer:

its 3 inches

Step-by-step explanation:

Because 9 divided by 3 is 3 (in.) as well as 6 divided by 2 and if its equilateral, all sides are the same (i hope this makes sense)

8 0

3 years ago

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