Create an equation. Use the graph below to create the equation of the rainbow parabola.Graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0.
Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.

Answers

Answer 1

Answer: Remember that a quadratic with two real zeroes can be written as $a(x - r_1)(x - r_2)$ , where $a$ is a constant and $r_1$ and $r_2$ are the zeroes (or roots) of the function. Since the graph shows that the two zeroes are at -6 and 6, the equation has to be of the form

$y = a(x - ({-6}))(x - 6)$ , or
$y = a(x + 6)(x - 6)$

To solve for a, let's use the point at the vertex (0, 36) and plug that in:

$36 = a(0 + 6)(0 - 6)$
$36 = {-36}a$
$a = {-1}$
(It makes sense that $a$ is negative since the parabola opens down.)

So, the equation of the parabola is

$y = -(x + 6)(x - 6)$ , or
$\bf y = -x^2 + 36$

Now for the second part, just pick any two points with which we can draw a line with a positive slope. I'll use x = -2 and 1:

$y = -({-2})^2 + 36 = {-4} + 36 = 32$
$y = -(1)^2 + 36 = {-1} + 36 = 35$

So, our two points are (-2, 32) and (1, 35). To find the equation of the linear function that goes through these two points, let's use slope-intercept form, which is $f(x) = mx + b$ . The slope $m$ is given by $(y_2 - y_1)/(x_2 - x_1)$ , so

$m = (y_2 - y_1)/(x_2 - x_1) = \frac{35 - 32}{1 - ({-2})} = 1$
So, the equation of the linear function so far is just $f(x) = x + b$ , and we can find $b$ by plugging in one of the points on the line:

$35 = 1 + b$
$b = 34$

Thus, the equation of the linear function is

$\bf f(x) = x + 34$

And you can find more points on the line simply by plugging other values of x, such as (0, 34) and (5, 39).

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An architect created plans for a house using a scale factor of 1:16 . In the plans, the floor of the house has an area of 7 square feet. What is area of the floor in the actual house? Enter your answer in the box.A rectangle has a length of 6 inches and a width of 3 inches. What is the effect on the perimeter when the dimensions are multiplied by 8? The perimeter is increased by a factor of 8. The perimeter is increased by a factor of 24. The perimeter is increased by a factor of 64. The perimeter is increased by a factor of 256. This figure is made up of a triangle and a semicircle. What is the area of this figure? Use 3.14 for pi. Round only your final answer to the nearest tenth. Enter your answer, as a decimal, in the box.
Solve for k:2k(7-5k)+11=6k+3(k^2-1) with work please.
Can anyone help me out with this
500mm x 600mm how many 25cm fit inside

Help me with this!!!

Answers

Answer:

3.5 would be halfway of 3 and 4.

Answer:3.5

Step-by-step explanation:

3.5 is half of 3 and 4

The original price of a stereo was reduced by 40%. The sales price was then reduced by 25%. This price was then reduced by 35%. If a stereo is now sellingfor $234.00, what was the original price?

Answers

If it was reduced by 35% 234 is 65% of the reduced price. So you divide it by 65 and multiply by 100.
234/65 x 100 = 360
360 is the price that was reduced by 25 % so it's 75% of the reduced price. for this you do 360 / 75 x 100 = 480
480 is the price that was reduced by 40% so it is 60% of the original price. to find the original price you do 480/60 x 100 = $800

Solve Quadratic Equations by Factoring: Solve by factoring and using the Zero Product Property:
1. 2x^2+3x-5=x^2+4x-5
2. 16x^2+5=4
3. X^2+45=20-10x
WILL MARK BRAINLIEST!!

Answers

Answer:

x = 0 or 1
x = ±i/4
x = -5 (twice)

Step-by-step explanation:

Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.

1. x^2 -x = 0

x(x -1) = 0 . . . . . x = 0 or 1

2. 16x^2 +1 = 0

This is the "difference of squares" ...

(4x)^2 - (i)^2 = 0

(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)

3. x^2 +10x +25 = 0

(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2

Four consecutive integers that add up to 314

Answers

77+78+79+80=314 Is Your Answer

Bc reflects about a line such that N is the reflection of B and O is the reflection of C. Point N is shown on the coordinate plane, but point O is not. What will the coordinates of point O be?

Answers

From my research, the coordinate points can be found on image below. Since N is the reflection of B and O is the reflection of C, if we were to draw a line to the right of N and a vertical line below C, the point of intersection of these two lines should give us the location of point O. Doing just that, point O is found at (5,5).

The coordinates of point O of the given Reflection is; 5, 5

How to find the point coordinates?

The coordinates point is missing and so I have attached it.

Now, from the question, we are told that N is the reflection of B and O is the reflection of C. Thus, from the attached image, drawing a line to the right of N and a vertical line below C, the point of intersection of these two lines would give us the location of point O.

Drawing a line to the right of N and a vertical line below C, the point of intersection of these two lines which is point O has coordinates at (5,5).

Read more about Point Coordinates at; brainly.com/question/17206319

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In a week, 12 hens laid 60 eggs. What is the unit rate for eggs per hen? The unit rate is ______ egg(s) per hen

Answers

Answer:

5 eggs per hen is the answee

Answer:

Step-by-step explanation:

I divided 60 by 12

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