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3 years ago

Which values of a and b make this system of equations have infinitely many solutions?

Mathematics

1 answer:

Afina-wow [57]3 years ago

6 0

9514 1404 393

Answer:

a = 3, b = -8

Step-by-step explanation:

Solving the first equation for y, we get ...

2y +16 = 6x . . . . . given

y = 8 +3x . . . . . . . divide by 2

y = 3x -8 . . . . . . . subtract 8

In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:

y = ax +b

a = 3, b = -8

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3 years ago

Please Help! Thanks to whoever can answer this!

Illusion [34]

Here, we are missing the slope and the y intercept.

Lets look for the y intercept first.

Where does it cross the y axis? At 3!!

3 is the y intercept.

Now, find the slope by using the slope formula.

$m = \frac{y2 - y1}{x2 - x1}$
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Okay, so we found our slope, now just write the equation.

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3 years ago

Lisa, Juan and isaac equally shared 1/2 of a cake which fraction of the whole cake did each of them recieve

IgorLugansk [536]

Answer:

Each will receive $\frac{1}{6}th$ of the cake.

Step-by-step explanation:

Let the amount of cake = c

Lisa, Juan and Isaac are the persons who are sharing half of a cake equally.

Number of persons = 3

Part of the cake shared = $\frac{c}{2}$

Fraction of the cake shared by each = $\frac{\text{Amount of cake shared}}{\text{Number of persons who shared}}$

= $\frac{\frac{1}{2}c}{3}$

= $\frac{1}{6}c$

Therefore, fraction of total cake shared by each member will be $\frac{1}{6}$ of the total amount of cake.

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2 years ago

I NEED HELP special right triangle 45-45-90

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Mr. Evens Is paid $9.20 per hour for the first 40 hours he works in a week he is paid 1.5 times that rate for each hour after th

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I don't agree with his statement. The first part says that he was paid $9.20 for the first 40 hours so we multiply them (9.20 x 40) to get 368. Then it says that he was paid 1.5 times that rate for every hour after that. The rate is "$9.20 per hour" so you find 1.5 times $9.20. You multiply $9.20 by 1.5 to get $13.80 per hour. Now you have to find how much money he got after the initial 40 hours. It says he worked 42.25 hours, and we already figured out how much money he got the first 40 hours ($368). So for the remaining 2.25 hours, Mr.Evens is paid $13.80 an hour. So we multiply 2.25 by $13.80 to get $31.05. To find out the total amount of money accumulated, we add. $368 + $31.05 is $399.05 which means that Mr.Evens is not correct. Hope this helped :]

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3 years ago

Read 2 more answers