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Makovka662 [10]
3 years ago
13

What is the intersection of the lines y=4x+1 and y= -2x + 4

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0

Answer:

The intersection is point is (1/2 , 3)

Step-by-step explanation:

y = 4x + 1

y = -2x + 4

Next, move the x's to the side of the y's and change the positive to negative and vice versa.

y - 4x = 1

y + 2x = 4

Then, multiply the top or bottom equation by -1

-y + 4x = -1

y + 2x = 4

Or

y - 4x = 1

-y - 2x = -4

Then, subtract the y or add them to erase the y's

4x =  -1

2x = 4

Or

-4x = 1

-2x = -4

Next, add or subtract the x's and what they equal

6x   = 3

Or

-6x = -3

Then, find x

3/6x = 1/2

Or

-3/-6x = 1/2

x = 1/2

Finally, substitute 1/2 into one of the 2 equation

y= 2+1

y = 3

Or

y = -1 +4

y = 3

and get the point of (1/2 , 3)

Thanks for the Question

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Answer:

W \le 6

Step-by-step explanation:

Given

Area = 60ft^2\ (max)

Length = 10ft

Required

Represent the width as an inequality

First, we represent the area as an inequality.

Area = 60ft^2\ (max)

max as used above means less than or equal to.

So, we have:

Area \le 60

The area of a rectangle is:

Area = L * W

So, we have:

L * W \le 60

Substitute 10 for L

10 * W \le 60

Divide both sides by 10

\frac{10 * W}{10} \le \frac{60}{10}

W \le \frac{60}{10}

W \le 6

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3 years ago
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vova2212 [387]
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enyata [817]

To find the rate of change find the difference in the Y values for every X value.

From X 1 to X 3 the Y value changes by -10

-10 / 2 = -5.

The rate of change is -5.

The initial value is when X = 0

When X is 1, the Y value is 20, using the rate of change of -5, this means when X is 0, the Y value would be 25.

The answer would be, the initial value is 25, rate of change is -5

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3 years ago
Item 16
alexdok [17]

Answer:

Step-by-step explanation:

Given that the dresser is in shape of a rectangular prism

Note that, a rectangular prism has a shape of a cuboid

So, area of the rectangular prism is same as area of a cuboid

A = (2LB + 2LH + 2BH)

Where

L is length

B is breadth

H is height

Then, given the dimension of the rectangular prism to be

2ft by 2ft by 6ft

Then, you can assume that,

Length L = 2ft

Breadth B = 2ft

Height H = 6ft.

NOTE: you can take you assumption anyhow, there is no standard, you will get the same answer.

Then,

A = (2LB + 2LH + 2BH)

A = (2×2×2 + 2×2×6 + 2×2×6)

A = (8 + 24 + 24)

A = 56 ft²

The total surface area of the dresser is 56ft²

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