red bird's flight path can be modeled by the quadratic equation y=-x^2+12x-11. What is the vertex? What is the axis of symmetry? What was the total distance? What is the domain and range?

Answers

Answer 1

Answer: Quadratic Equation: $y=-x^2+12x-11$

What is the Vertex?
Vertex Form: $y=a(x - h)^2 + k$ , where (h, k) is the vertex of the parabola.
$y=-x^2+12x-11$
$y=(-x^2+12x)-11$
$y=-1(x^2-12x)-11$
$y=-1(x^2-12x+36-36)-11$
$y=-1(x^2-12x+36)+36-11$
$y=-1(x-6)^2+25$
Vertex is (6,25)

Axis of Symmetry?
This is just the h value so the AoS = 6

Total Distance? (I assume x-intercepts)
$y=-x^2+12x-11$
$y=-1(x^2-12x+11)$
$y=-(x-1)(x-11)$
x-intercepts are (1,0) and (11,0) so in between them was the flight.

Domain and Range?
I'm not sure what domain and range are but I found a calc online for it and it says
Domain: (−∞,∞),{x|x∈R}Range: (−∞,25],{y|y≤25}

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What is the difference 4y/xy - 2x/xy^3

If three apples cost $6, how much does one apple cost? *

Answers

Answer:

2 dollars

Step-by-step explanation:

You work at a fruit market. Bananas cost 50¢ a pound. A customer hands you a bunch of bananas that weighs 3 pounds. How much should you charge for the bunch of bananas?

Answers

Cost per pound: 50 ¢.
Weight: 3 pounds

Total cost: 3x50 = 150 ¢

You should charge $1.50 because 1lb = 50cents. 3lb = $1.50.

Write an equation in slope-intercept form for the line with slope 6 and y-intercept -8 .

Answers

The equation of line in the slope intercept form is y = 6x - 8 , where the slope of the line is m = 6

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the slope of the line m = 6

Let the y intercept of the line be = -8

Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

y = 6x - 8 be equation (1)

Hence , the equation of line is y = 6x - 8

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Answer:

y=6x-4

Step-by-step explanation:

What is the sum of 667 and 23?
a. 644
b. 690
c. 15,341
d. 29

Answers

the answer is B. 690

the answer is b. 690

If each person takes up 2.25 square feet of space, how many people can fit into an area that is 15 feet by 30 feet?A) 17
B) 40
C) 88
D) 200

Answers

D is the answer Multiply 15 times 30 and divide by 2.25

Answer:

Step-by-step explanation:

Find the value of the variable and YZ if Y is between X and Z

XY=6b, YZ=8b, XZ=175

Answers

The value of YZ is 100 units.

What is Algebra?

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.

Given:

XY=6b, YZ=8b, XZ=175

XY + YZ = XZ

6b + 8b= 175

14 b= 175

b= 175/14

b=12.5

So, YZ = 8b

=8*12.5

= 100 units.

Hence, the value of YZ is 100 units.

Learn more about algebra here: