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Rainbow [258]
3 years ago
14

Does anyone mind helping me with this? It seems simple enough.

Mathematics
1 answer:
Yanka [14]3 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

It is given that \sqrt{(x - 3)} = \sqrt{x} + 3, and we have to solve the given equation for x.

Now, we have \sqrt{(x - 3)} = \sqrt{x} + 3

Squaring both sides we get  

[\sqrt{(x - 3)}] ^{2} = [\sqrt{x} + 3]^{2}

⇒ x - 3 = x + 6√x + 9 {Since we know the formula of (a + b)² = a² + 2ab + b²}

⇒ 6√x = - 12

⇒ √x = -2

Again squaring both sides we get  

⇒x = 4 (Answer)

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What is the value of (Negative three-fourths) Superscript negative 4?
Goryan [66]

Answer:

-3.16049382716

Step-by-step explanation:

-3/4 = -0.75

-0.75 ^ -4 = -3.16049382716

8 0
3 years ago
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Can someone help me figure this one out please?
Illusion [34]

Answer:

Linear equations

Step-by-step explanation:

An easy and simple equation. F(t) = -15t +300

7 0
3 years ago
Helppppppppppppppppp​
Darina [25.2K]

Answer:

3)

Step-by-step explanation:

An equation is linear if equal changes in x produce equal changes in y.

Let's look at each choice.

1)

A decrease of 10% per year. That means each year, the value of the car is 0.9 times the value of the previous year.

For example, if the original value was $10,000, after 1 year, it is worth 0.9 * $10,000 = $9,000. In 1 year it lost $1,000. In the next year, its value is now 0.9 * $9,000. The value at the end of the 2nd year is $8,100. In the second year, it lost $900 in value. In one period of 1 year it lost $1000 in value. In another equal period of 1 year, it lost $900 in value. A change of 1 year in time produces different changes in loss of value, so it is not linear.

2)

Here, the number doubles every year. Let's say it starts with 100 fish. After 5 years, it has 200 fish. In a change of 5 years in x, the change in y is 100. In the next 5 years, it goes from 200 fish to 400 fish. The change in the second period of 5 years is 200. We see that a change of 5 years can produce a change of 100 fish, but another change of 5 years can produce a change is 100 fish. Since for equal changes in x, the changes in y are not all equal, this is not linear.

3)

Here for every change of 1 day in x, the change in y is 2 liters. Each change of 1 in x always produces a change of 2 in y. This is linear.

4)

Each 2 hours, the amount of caffeine is 2/3 of what it was before. This is similar to the choice 1), and it is not linear.

Answer: 3)

7 0
3 years ago
How many dimensions does a line segment have​
Natalija [7]

Answer:

A line segment has one dimensions.

Step-by-step explanation:

A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

Dimension is an aspect or feature of an object.

A line segment, let us say AB has two endpoints and has only one measurable feature that is its length which is actually the distance between the two end points A and B.

Hence, a line segment is one-dimensional.

4 0
3 years ago
onyango wishes to fence a rectangular research plot using 100 m of wire .one end of the plot has a wall already erected .calcula
earnstyle [38]

Answer:

1250 m²

Step-by-step explanation:

Let x and y denote the sides of the rectangular research plot.

Thus, area is;

A = xy

Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.

Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;

2x + y = 100

Thus, y = 100 - 2x

Since A = xy

We have; A = x(100 - 2x)

A = 100x - 2x²

At maximum area, dA/dx = 0.thus;

dA/dx = 100 - 4x

-4x + 100 = 0

4x = 100

x = 100/4

x = 25

Let's confirm if it is maximum from d²A/dx²

d²A/dx² = -4. This is less than 0 and thus it's maximum.

Let's plug in 25 for x in the area equation;

A_max = 25(100 - 2(25))

A_max = 1250 m²

5 0
3 years ago
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