If f(x)=2(x)^2 + 5 square root (x-2), complete the following statement The domain for f(x) is all real numbers _____ than or equal to 2.

Answers

Answer 1

Answer:

Answer:

Greater.

Step-by-step explanation:

The in the function , the square root term has to give a real number if is to be real. This can only happen if because if then will give a complex number and therefore will not be real.

Thus, the domain for f(x) is all real numbers greater than or equal to 2.

Answer 2

Answer:

Answer:

The domain for f(x) is all real numbers greater than or equal to 2.

Step-by-step explanation:

Given function:

$f(x)=2x^2+5 √(x-2)$

The domain of a function is the set of all possibleinput values (x-values).

As the square root of a negative numbercannot be taken:

$\implies x-2\geq 0$

Therefore:

$\implies x-2+2\geq 0+2$

$\implies x\geq 2$

Therefore, the domain of the given function is greater than or equal to 2.

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Perpendicular lines form a 90° angle. Trueor false?
An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3 B) 5.8 in3 C) 52 in3 D) 64 in3
-3=h+8 divided by 2 (HELP)
There are 600 people on a cruise ship.The over 30s and the 30 and unders are in the ratio 4:1. 30% of the over 30s are female. Work out how many of the over 30s are male. Submit Answer males over 30

A: 2x - 3y = 6B: 3x - 2y = -9
C:y=-x-5
D:y= {x2
Which lines are parallel?
A)
A and c
B)
B and C
B and D
D)
A and D

Answers

It’s A and B or C and D

The number of aluminum cans used each year varies directly as the number of people using the cans. If 500 people use 120000 cans in one year, how many cans are used each year in a city which has a population of 130000?

Answers

Answer

31,200,000

Explanation

Firstly, calculate the constant of proportionality.

Al ∝ N

Al = kN Where Al = number of aluminium cans, k = constant and N = number of people using the can.

Al = kN

k = Al/N

= 120000/500

= 240

Equation becomes;

Al = 240N

For 130000 cans;

Al = 240 × 130000

= 31,200,000

The U.S. Treasury on Friday said that the federal deficit for fiscal 2019 was $984 billion. In 2018, the federal deficit was $781 billion.By how many dollars did the federal deficit increase between 2018 and 2019? Write your answer using the number word "billion". $
By what percentage did the federal deficit increase between 2018 and 2019? Round the percentage to the nearest whole number.
billion
%

Answers

Answer:

$203 billion

Step-by-step explanation:

984-781=203

How are a trapezoid and a rectangle different

Answers

-- Both pairs of sides of a rectangle are parallel.
Only one pair of sides of a trapezoid are.

-- A rectangle is a parallelogram.
A trapezoid isn't.

-- The opposite sides of a rectangle are equal.
The opposite sides of a trapezoid aren't.

-- All of the angles of a rectangle are right angles.
The angles of a trapezoid aren't.

-- The area of a rectangle is the product of (length) times (width).
The area of a trapezoid is (height) times (the average of the two bases).

A trapezoid has two perpendicular sides, and a rectangle has 4 parallel sides.

3m - 3(m+8) > 3m(Teacher didn't go over this hopefully I can get an explanation)

Answers

Alrighty!

*Note the ">" sign is similar to the "=" sign.

3m - 3(3m + 8) > 3m
3m - 6m + 24 > 3m (distribute)
-3m + 24 > 3m (combine like terms)
24 > 6m (Compute/simplify)
8 > m

Makes sense?

Maurice works at the circus and needs to clean the water tank for the dolphins. Tank A measuring 50 cm x 70 cm x 70 cm was 2 7 filled with water. Tank B having a base area of 5000 cm² was empty. Water from Tank A was poured into Tank B. What was the height of water in Tank B?

Answers

Answer:

14 cm

Step-by-step explanation:

1. First, we need to find the total volume of Tank A. Tank A is a rectangular prism, and the volume of a rectangular prism is given by the formula length x width x height. In this case, it's...

50 cm x 70 cm x 70 cm = 245,000 cubic cm

2. Tank A was 2/7 full, so we need to find out how much water was in Tank A.

To find this, we multiply the total volume by the fraction that's full:

245,000 cm³ * 2/7 = 70,000 cm³.

3. This 70,000 cm³ of water was then poured into Tank B. We want to find out how high the water is in Tank B, so we need to divide the volume of the water by the base area of Tank B.

4. The base area of Tank B is given as 5000 cm². So, the height of the water in Tank B is 70,000 cm³ / 5000 cm² = 14 cm.

So, the height of the water in Tank B is 14 cm.

Hope this helps! :)

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