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3 years ago

13

Is the relation shown in the arrow diagram a function? Explain.

1 answer:

horsena [70]3 years ago

5 0

Answer:

D

Step-by-step explanation:

Each input can not have 2 outputs or else it’s not a function. 2 maps to 21 and 42. It MPs to two outputs. It’s not a function

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Solve the equation Square root of x minus 5+ 7 = 11 for the variable. Show each step of your solution process. (10 points)

Murrr4er [49]

$\sqrt{x - 5} + 7 = 11$

$(\sqrt{x-5}) ^{2} = (4)^{2}$

|x - 5| = 16

x - 5 = +/- 16

x - 5 = 16 or x - 5 = -16

<u> +5</u> <u>+5 </u> <u> +5 </u> <u>+5 </u>

x = 21 or x = -11

Answer: x = {21, -11}

5 0

3 years ago

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

UNO [17]

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

so

$-x \geq 0$

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

4 0

3 years ago

Read 2 more answers

What is 4/3 subtracted by 2/5

Tomtit [17]

Here is you're answer:

In order to find the answer you have to find the common denominator and then subtract.

$\frac{4}{3} - \frac{2}{5}$
Find the common denominator:
$CD = 15$
$4 - 2 = 2$
$=\frac{2}{15}$

Therefore you're answer is "2/15."

Hope this helps!

3 0

2 years ago

Read 2 more answers

What is 5x486??????????????????????????

dalvyx [7]

486
x 5
___
2430

the answer is 2430

5 0

3 years ago

Read 2 more answers

A golfer aims for a hole that is 120 feet away and, when he hits the golf ball off the ground, its highest point reaches 80 feet

Mumz [18]

Answer:

No she isn't. The value of $a$ is $a=-\frac{1}{45}$

Step-by-step explanation:

We know that all quadratic equation can be written in the following way :

$y=ax^{2}+bx+c$ (I)

Where $a,b$ and $c$ are real numbers.

I will attach a drawing with the quadratic graph to understand the situation.

We know by looking at the drawing and analyzing it that the parabola passes through the points : $(0,0) ; (60,80)$ and $(120,0)$

$(0,0)$ because we put our coordinates origin there.

$(120,0)$ because that's where the golf hole is.

And $(60,80)$ because we know that its highest point reaches 80 feet up in the air at the middle of the distance between its roots (property of a negative parabola).

Finally, we work with the three points and the equation (I) in order to find the values of $a,b$ and $c$ ⇒

The parabola passes through $(0,0)$ ⇒

$y=ax^{2}+bx+c$ ⇒

$0=a(0)^{2}+b(0)+c$ ⇒ $c=0$

The parabola passes through $(60,80)$ ⇒

$80=a(60)^{2}+b(60)$ ⇒

$80=3600a+60b$ (II)

The parabola passes through $(120,0)$ ⇒

$0=a(120)^{2}+b(120)$ ⇒

$0=14400a+120b$

$120b=-14400a$

$b=-120a$ (III)

Now if we use (III) in (II) ⇒

$80=3600a+60(-120a)$

$80=3600a-7200a$

$3600a=-80$

$a=-\frac{1}{45}$ ⇒ $b=\frac{8}{3}$

Finally the equation of the parabola is

$y=-\frac{x^{2}}{45}+\frac{8}{3}x$

Where the value of $a$ is $a=-\frac{1}{45}$

8 0

2 years ago