Are all horizontal lines parallel

Answers

Answer 1

Answer: By definition, lines are parallel if they have the same gradient (slope). Any horizontal line has a gradient of 0, so it is parallel to any other horizontal line

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Sqrt(2−7x) -sqrt(x 3) =3
The Red Robins are facing off against the Aliens in fantasy football. The Red Robins scored 393939 points this week. The Aliens scored -25−25minus, 25 points this week.
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Suppose f(x) = abx is an exponential GROWTH function. Which function, then, represents exponential DECAY?A) f(x) = abx
B) f(x) = abx - 4
C) f(x) = a(b-1)x
D) f(x) = a( 1 b )x

Answers

Answer: The answer is (D) $f(x)=a^((1-b)x).$

Step-by-step explanation: We are given four exponential functions, out of which we are to select the one that represents exponential decay.

Given that the following function is an exponential growth function.

$f(x)=a^(bx).$

We take the values of a and b as 2 and 3 respectively so that the given function represents exponential growth.

We have drawn the graphs of all the four exponential functions taking these values of 'a' and 'b' in the attached figure.

We will see the the graph of the fourth function will show an exponential decay.

and the rest three will show exponential growth.

Thus, (D) is the correct option.

the correct function is D

Can you help me with this question? please and thank you!

Answers

-- As time goes on, the population gets bigger.
That's increasing.

-- If the same amount was ADDED to the population every 5 weeks,
that would be linear. But that's not what's happening here.

Every 5 weeks, the population is MULTIPLIED by the same amount (10).
That's increasing exponentially.

On a graph, it would be a curve, that not only gets higher as time
goes on, but also gets steeper (rising faster, increasing slope).

B increasing linear
:)

If 3 pounds of potato-salad feeds 15 people, how many pounds would you need for 200 people?

Answers

If 3 pounds of potato salad feeds 15 people, then 1 pound of potato salad would feed 5 people. Now divide 200 by 5 to get the number of pounds. 200/5 = 40 pounds

The lenght of a rectangular classroom floor is 19 feel less than twice the width which expression repersents the area of the classroom floor

Answers

w*(2w-19)=A. Just make the width a variable and write out the relationship it has with the length

Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 .

Answers

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

$D = √((x_1 - x_2)^2 + (y_1 - y_2)^2)$

With this, we will found that the distance between A and B is: 4 units.

The first thing we need to do is find A and B.

We know that the points are the intersection between the two parabolas.

y = -x^2 + 9

y = 2*x^2 - 3

The intersection is given by the zeros of the difference:

(2*x^2 - 3) - (-x^2 + 9) = 0

3*x^2 -12 = 0

3*x^2 = 12

x^2 = 12/3 = 4

x = √4 = ±2

To find the points, we need to evaluate one of the parabolas in these two x-values.

Let's use the first one:

y = -(2)^2 + 9 = 5

So we have the point (2, 5)

For the other point:

y = -(-2)^2 + 9 = 5

So we have the point (-2, 5)

Then we can define:

A = (2, 5)

B = (-2, 5)

Using the distance equation we get:

$D = √((2 - (-2))^2 + (5 - 5)^2) = 4$

The distance between A and B is 4.

If you want to learn more, you can read:

brainly.com/question/12082741

Answer:

Answer:

AB=4

Step-by-step explanation:

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

√16=

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary.. . . (C + D)2. 2(C + D). C2 + D2. C2 − D2

Answers

Answer:

the largest is: $C^2+D^2$

Step-by-step explanation:

We are given the expression C>D>0.

As C and D represent two different school populations. This means that C and D will be natural numbers.

C+D<2×(C+D)

Also $C^2+D^2>C^2-D^2$ .

the largest among these expressions is $C^2+D^2$

The question or the problem wants to choose among the following expression is the largest, base on the data presented in the problem, the possible answer among the following choices is C2+D2. I hope you are satisfied with my answer and feel free to ask for more

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