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3 years ago

Which statement is true about the function f(x)= StartRoot negative x EndRoot?

Mathematics

2 answers:

tia_tia [17]3 years ago

8 0

Answer:

the answer is - The range of the function is all real numbers greater than or equal to 0.

Step-by-step explanation:

UNO [17]3 years ago

4 0

Answer:

The domain of the graph is all real numbers less than or equal to 0

Step-by-step explanation:

we have the function

$f(x)=\sqrt{-x}$

we know that

The radicand must be positive

$-x \geq 0$

Solve for x

Multiply by -1 both sides

$x\leq 0$

The domain is the interval ------> (-∞,0]

All real numbers less than or equal to zero

The range of the function is the interval -----> [0,∞)

$f(x)\geq 0$

see the attached figure to better understand the problem

All real numbers greater than or equal to zero

<em><u>Verify each statement</u></em>

case 1) The domain of the graph is all real numbers

The statement is false

Because, the domain is all real numbers less than or equal to zero

case 2) The range of the graph is all real numbers

The statement is false

Because, the range is all real numbers greater than or equal to zero

case 3) The domain of the graph is all real numbers less than or equal to 0

The statement is true

case 4) The range of the graph is all real numbers less than or equal to 0

The statement is false

Because, the range is all real numbers greater than or equal to zero

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3 years ago

The angle θ lies in Quadrant II. sinθ=3/4 What is cosθ ?

Elden [556K]

Hello from MrBillDoesMath

Answer:

[email protected] = - sqrt(7)/ 4

which is choice B

Discussion:

This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:

([email protected])^2 + (sin2)^2 = 1

If [email protected] = 3/4 , the

([email protected])^2 + (3/4)^2 = 1 => (subtract (3/4)^2 from both sides)

([email protected])^2 = 1 - (3/4)^2 = 1 - 9/16 = 7/16

So...... taking the square root of both sides gives

[email protected] = +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4

But is [email protected] positive or negative? We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative

[email protected] = - sqrt(7)/ 4

which is choice B

Thank you,

Mr. B

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3 years ago

How many exterior angles can be drawn at one vertex of a triangle?

NARA [144]

Im pretty sure its two but you might wanna double check... let me know

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3 years ago

David’s statement shows a previous balance of $5834.53, a payment of $150, and new transactions totaling $325. His APR is 20.4%.

DaniilM [7]

Finance charge
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New balance
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3 years ago

Read 2 more answers

Justin bought 5 apples and 4 oranges for £45. On another occasion, he bought 2 apples and 8 oranges which cost £50. Find the cos

Vitek1552 [10]

Answer:

the cost of 3 apples and 7 oranges be £15 and £35 respectively

Step-by-step explanation:

Let us assume the apple be x

And, the oranges be y

Now according to the question

5x + 4y = £45

And,

2x + 8y = £50

Multiply by 2 in equation 1

So,

10x + 8y = £90

2x + 8y = £50

8x = £40

x = £5

And, y be

5(£5) + 4y = £45

£25 + 4y = £45

4y = 20

y = £5

So, the cost of 3 apples and 7 oranges be £15 and £35 respectively

5 0

2 years ago