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2 years ago

The function f(x) = StartRoot negative x EndRoot is represented by the graph. Which statement is correct?

Mathematics

2 answers:

Pachacha [2.7K]2 years ago

8 0

Answer:

Step-by-step explanation:

edge2020

Svetlanka [38]2 years ago

6 0

Answer:

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

Step-by-step explanation:

The graph of the function $y=\sqrt{-x}$ is shown in attached diagram.

1. The domain of the function is the set of all possible values for input (for x). Hence, the domain of this function is

$x\in (-\infty,0]$

2. The range of the function is the set of all possible values for output (for y), so the range of this function is

$y\in [0,\infty)$

As you can see, only option D is true - The range of the function is all real numbers greater than or equal to 0.

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A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located

makkiz [27]

The answer is 34.05

The total distance (D) is the sum of three distances (d1, d2, and d3).

The distance formula is $d = \sqrt{(x2-x1)^{2} +(y2-y1)^{2}}$

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9):
 $d1 = \sqrt{(-20-(-12))^{2} +(-9-(-16))^{2}} =\sqrt{(-20+12)^{2} +(-9+16)^{2}} \\ =\sqrt{(-8)^{2} +(7)^{2}}= \sqrt{64+49} = \sqrt{113}= 10.63$

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):
$d2 = \sqrt{(-33-(-20))^{2} +(-4-(-9))^{2}} =\sqrt{(-33+20)^{2} +(-4+9)^{2}} \\ =\sqrt{(-13)^{2} +(5)^{2}}= \sqrt{169+25} = \sqrt{194}= 13.93$

Distance 3: Los Angeles (–33, –4) to San Francisco (–36, 5)
 $d3 = \sqrt{(-36-(-33))^{2} +(5-(-4))^{2}} =\sqrt{(-36+33)^{2} +(5+4)^{2}} \\ =\sqrt{(-3)^{2} +(9)^{2}}= \sqrt{9+81} = \sqrt{90}= 9.49$

D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05

3 0

2 years ago

Scott took out a 72 month loan for $35,000 to purchase a new boat. If Scott paid $8,925 in simple interest, what was the interes

diamong [38]

Answer:

Option 4.7% = 3,500 x 4.7% =$164.50 simple annual interest.

82.25 this is what Scott will pay in 6 months at simple interest.

Option 4.2% =3,500 x (1 +0.042/12)^6 =3,500 x 1.0035^6=$3,574.15.

3,500 =$74.15 this is what Scott will pay in 6 months at compounded interest.

The compound option is cheaper by: 74.15 =$8.10.

6 0

2 years ago

Read 2 more answers

Please help! click to see the picture of the question !

Pie

69 square feet is the answer

4 0

2 years ago

Read 2 more answers

Carson's wheelbarrow can hold 345 pounds. If he has 121 pound of rock in the wheelbarrow what number of pounds p can he pull wit

dangina [55]

Answer:

$p\leq 224\ lb$

The maximum number of pounds p is 224

Step-by-step explanation:

Let

p ----> the maximum number of pounds he can pull without going over the weight limit

we know that

121 pound of rock in the wheelbarrow plus p pounds must be at most 345 pounds

In this problem the word "at most" means "less than or equal to"

The inequality that represent this situation is

$p+121\leq 345$

solve for p

subtract 121 both sides

$p\leq 345-121$

$p\leq 224\ lb$

therefore

The maximum number of pounds is 224

7 0

3 years ago

A rectangular garden that measures 6 feet by 8 feet is roped off to form a

Feliz [49]

Answer:

10feet

Step-by-step explanation:

We solve this question, using Pythagoras Theorem to solve for the other side.

Pythagoras Theorem states that

c² = a² + b²

c = √(a² + b²)

In the question, a = 6 feet

b = 8 feet

c = length of the rope

c = √6² + 8²

c = √36 + 64

c = √100

c = 10 feet

The length of the rope is 10 feet

8 0

2 years ago