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4 years ago

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

Mathematics

2 answers:

tia_tia [17]4 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]4 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

Verify each statement

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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Gragh the image of the figure after a dilation with a scale factor of 1/4 centered at (5, -5) please help

svetoff [14.1K]

Answer:

See attached diagram

Step-by-step explanation:

Triangle ABC has vertices A(9,3), B(-7,-5) and C(-3,7).

The dilation with a scale factor of 1/4 centered at (5, -5) has the rule

$(x,y)\rightarrow \left(\dfrac{1}{4}x+\dfrac{15}{4},\dfrac{1}{4}y-\dfrac{15}{4}\right)$

Then

$A(9,3)\rightarrow A'\left(\dfrac{1}{4}\cdot 9+\dfrac{15}{4},\dfrac{1}{4}\cdot 3-\dfrac{15}{4}\right)=A'(6,-3);$

$B(-7,-5)\rightarrow B'\left(\dfrac{1}{4}\cdot (-7)+\dfrac{15}{4},\dfrac{1}{4}\cdot (-5)-\dfrac{15}{4}\right)=B'(2,-5);$

$C(-3,7)\rightarrow C'\left(\dfrac{1}{4}\cdot (-3)+\dfrac{15}{4},\dfrac{1}{4}\cdot 7-\dfrac{15}{4}\right)=C'(3,-2).$

6 0

3 years ago

Which statement best describes the function h(t) = 210 – 15t?

Serjik [45]

Right answer is:

h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

Step-by-step explanation:

Lets define the terms first

An independent variable is a variable whose values are put in the function. It is the input of a function.

While dependent variable's value depends on the independent variable.

Given function is:

$h(t) = 210-15t$

By observing the function, we can see that the function is in terms of t which means that t is the input for the function while h is the name of the function. h(t) which be obtained by putting the values of t is the output.

So,

Right answer is:

h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

Keywords: Functions, variables

Learn more about functions at:

#LearnwithBrainly

5 0

4 years ago

Read 2 more answers

A rectangular banner on the school office wall is 45 inches tall and 70 inches long. A photograph of the banner for the yearbook

Umnica [9.8K]

45 | 45 divided by 5 = 9

So i think if we do the same for 70 we will get the length

70| 70 divided by 5 = 14

So the length = 14

--If I'm incorrect please correct me

5 0

3 years ago

HELP PLS ITS URGENT !!

belka [17]

Answer:

I think it'll be D

Step-by-step explanation:

srry if wrong

hope this helps

6 0

3 years ago

Evaluate. Express your answer in exact simplest form.

kumpel [21]

Answer:

6720

Step-by-step explanation:

The writing 8P5 represents the number of permutations of 8 elements taken 5 at a time.

First Method :

8P5 = 8 × 7 × 6 × 5 × 4

= 6720

Second Method :

$8P5=\frac{8!}{\left( 8-5\right)!}$

$=\frac{8!}{ 3!}$

$=\frac{8 \times 7 \times 6 \times 5 \times 4 \times 3!}{ 3!}$

$= 8 \times 7 \times 6 \times 5 \times 4$

$= 6720$

6 0

2 years ago