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3 years ago

Solve the system of equations. y= 3x y= x2-10

Mathematics

1 answer:

svetoff [14.1K]3 years ago

7 0

Answer:

(-5, 2) and (2, 6)

Step-by-step explanation:

Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.

3x = x^2 - 10

x^2 - 3x - 10 = 0

Use the quadratic equation to solve for x.

x = - 5, 2

Now solve for y using these two values of x by substituting it back into the equations.

y = - 15, 6

In coordinate form, (-5, 2) and (2, 6)

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if a one bedroom apartment that rents for $450 in Detroit rents for 250% of that price in manhattan, what is the rent in Manhatt

lesya [120]

Answer:

$1125

Step-by-step explanation:

To find percentage of something, we always take the percentage, convert it to decimal by dividing by 100, and then multiply that decimal with the number given.

Here, we want to find 250% of $450. First, lets convert 250% to decimal:

250/100 = 2.5

So, 250% = 2.5

Now we multiply this with $450 to find rent in Manhattan:

2.5 * 450 = $1125

That's a whooping price of $1125 in Manhattan!!

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3 years ago

During the holidays, Duncan works as a gift wrapper. He works 35 hours a week, spread equally over 5 workdays. If Duncan earns $

Angelina_Jolie [31]

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3 years ago

Read 2 more answers

What is the surface area of the cube

madam [21]

There are six faces on the cube, each with a surface area of (4.5 m)^2 = 20.25 m^2. They add up to the amount given by the first selection.

3 0

3 years ago

Can someone tell me if I'm right or wrong

dem82 [27]

Step-by-step explanation:

well, it is a combination of 2 shapes.

I, personally, would have split it into the small 2x2 square (in the top right corner) and then into the 6x(7-2) rectangle.

that would be

2x2 + 6x5 = 4 + 30 = 34 cm²

but you started a valid approach too.

you "sliced" off a narrow rectangle along the whole right side. 7x2.

and that leaves now a 4x(7-2) rectangle.

so,

7x2 + 4x5 = 14 + 20 = 34 cm²

yes, this was my answer.

how did this suddenly appear as your answer ?

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3 years ago

Read 2 more answers

Percy drew a scale drawing of a hotel. A room in the hotel is 6 inches long in the drawing. The actual room is 24 feet long. Wha

masya89 [10]

Answer: 1 inch : 4 feet

Step-by-step explanation:

Given: A room in the hotel is 6 inches long in the drawing.

The actual room is 24 feet long.

i.e. 6 inches in the drawing = 24 feet (in actual)

1 inch in drawing = $\dfrac{24}{6}$ feet

i.e. 1 inch in drawing = 4 feet

The scale of drawing Percy used for the drawing:

1 inch : 4 feet

5 0

3 years ago