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bezimeni [28]
2 years ago
9

Which of the following equations best describes a square root function that is reflected across the x-axis and has a vertex of (

−4,2)?
A. y=\sqrt{-(x-4)} +2

B. y= -\sqrt{x+2}-4

C. y=-\sqrt{x+4} +2

D. y=-\sqrt{x-4} +2
Mathematics
1 answer:
Minchanka [31]2 years ago
6 0

Answer:

C

Step-by-step explanation:

Rather than picking, let's try to construct one from the description.

reflected over the x axis means -\sqrt{x}

the vertex is usually at (0,0), now how do we move a graph?  or in other words  translating it.

To move left and right you use \sqrt{x-h} where if you subtract h you move right and if you add h you move left.  we go from (0,0) to (-4,2).  so 0 to -4 is 4 left, so that means we add 4.

To move up and down we use \sqrt{x}+v Here if v is positive you move up and if v is negative you move down.  going from (0,0) to (-4,2) it moves up 2

So now we put them all together -\sqrt{x+4}+2  And if you look, C matches that exactly.

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10) A new car is available in a sedan model and
Dafna11 [192]

Answer:

Option (C) n = 256

Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.

Step-by-step explanation:

A new car is available in a sedan model and a hatchback model.

So that means customers can select the model of the car in,

n₁ = 2 ways

It is available in eight  different colors.

After selecting the model, customers can select the color of the car in,

n₂ = 8 ways

Customers can choose to add any combination of four optional features.

After selecting the color, customers have the choice to add any combination of 4 optional features,

n₃ = 4² = 16 ways

Which means that there are 16 different ways to add 4 optional features e.g.

1. 0, 0, 0, 0

2. 0, 0, 0, 1

3. 0, 0, 1, 0

4. 0, 0, 1, 1

and the list goes on to 16 different ways.

Now the total ways to select a car is given by

n = n₁*n₂*n₃

n = 2*8*16

n = 256

Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.

6 0
3 years ago
I’m confused on this one
ad-work [718]

The question is "What is the scale of the model to the actual statue"


That means you must put 2/15.


2 being the model


15 being the actual statue


Take that fraction and equal is to 1/x.


Multiply 15 to 1 and 2 to x.


In the end, to solve, you divide 15 by 2x.


The answer is X=7.5


1 : 7.5


7 0
3 years ago
Please help ASAP!!! <br><br> What is the sum of this series?
Katarina [22]

Answer:

45

Step-by-step explanation:

Since this is only three terms

Find the three terms and add

j=1   3(1)^2+1 = 3+1 =4

j=2   3(2)^2+1 = 3(4)+1 =13

j=3   3(9)^2+1 = 27+1 =28

The sum is 4+13+28 =45

6 0
3 years ago
Solve the system by substitution <br><br> 7x-6y=16 (1)<br> y=-5<br><br> Show step by step
Nostrana [21]

Answer:

7x - 6y = 16

y = (-5)

using substitution method

7x - 6(-5) = 16

7x +30 = 16

7x = 16 - 30

7x = 14

x = 14/7

x= 2

4 0
2 years ago
Write an expression that is equivalent to -2/5(15 - 20d +50)<br> Explain please!:)
valina [46]

Answer:

-26 + 4/5d

Step-by-step explanation:

-2/5 ( 15 - 2d + 50)

= -2/5 ( 65 - 2d)

= -2/5 * 65 - (-2/5) * 2d

= -26 - (-4/5d)

= -26 + 4/5d

3 0
2 years ago
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