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3 years ago

Which description best describes the solution to the following system of equations?

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

6 0

Answer:

Line y = –x + 4 intersects the line y = 3x + 3

Step-by-step explanation:

The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.

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Comments on other answer choices

Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.

Any linear equation with an added (non-zero) constant will not intersect the origin. These two equations have +4 and +3 added, so neither line intersects the origin.

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Elijah has $0.55 worth of pennies and nickels. He has twice as many nickels as pennies. Determine the number of pennies and the

maxonik [38]

Answer:

The number of nickels are 10 and number of pennies are 5.

Step-by-step explanation:

Given:

Elijah has $0.55 worth of pennies and nickels.

He has twice as many nickels as pennies.

Now, to determine the number of pennies and the number of nickels that Elijah has.

Let the number of nickels be $x.$

And the number of pennies be $y.$

As given that he has twice as many nickels as pennies.

$2y=x$

$x=2y.$ ......(1)

The total worth of worth of pennies and nickels = $0.55.

As, the value of a penny = $0.01.

And the value of a nickel = $0.05.

Now, to get the number of pennies and the number of nickels that Elijah has:

$0.05(x)+0.01(y)=0.55$

Putting the value of $x$ from equation (1):

$0.05(2y)+0.01(y)=0.55$

$0.10y+0.01y=0.55$

$0.11y=0.55$

Dividing both sides by 0.11 we get:

$y=5.$

The number of pennies = 5.

Now, putting the value of $y$ in equation ( 1 ) we get:

$x=2y\\x=2\times 5\\x=10.$

The number of nickels = 10.

Therefore, the number of nickels are 10 and number of pennies are 5.

3 0

3 years ago

Find ℎ(x) = f(x) − g(x)

Helen [10]

I need to know what f(x) and g(x) is first

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3 years ago

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PLSSS HELP IF YOU TURLY KNOW THISS

Leona [35]

Answer:

That would be 2/3

Step-by-step explanation:

1/3 would be the first line after 0 and 3/3 is = to 1 so the correct answer is 2/3

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2 years ago

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Inga [223]

If I understand this, you have the equation 6(2x+7)-5. This is equal to 12x+37. Hope this helps.

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3 years ago

Evaluate x2/y + x2/z for x = 6, y = -4, and z = -2.

8_murik_8 [283]

Answer:

-27

Step-by-step explanation:

6^2=36

36/-4=-9

36/-2=-18

-9+-18=-9-18=-27

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3 years ago

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