MATHEMATICS HIGH SCHOOL

Identify the turning point of the function f(x)=x^2-2x+8 by writing its equation in vertex form.Show work

Answers

Answer 1
Answer: f(x)=x^2-2x+8 \n \n To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \n \n of \ a \ function \ into \ vertex \ form \n \n y = a(x - h)^2 + k \n \n Here \ the \ point \ (h, k) \ is \ called \ as \ vertex \n \n h=(-b)/(2a) , \ \ \ \ k= c - (b^2)/(4a)\n \n a=1 ,\ b=-2 , \ c = 8

h=(-b)/(2a)=(-(-2))/(2 )=(2)/(2)=1 \n\n k=c - (b^2)/(4a) =8 - ( (-2)^2)/(4 ) = 8-1 = 7 \n \n y= (x-1)^2 + 7 \n \n So \ the \ turning \ point \ is \ (1,7)

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a ruby throated hummingbird beats its wing 159 times in 3 seconds.how many times does the ruby throated humming beat its wings per second

Answers

159 divided by 3 will give you the answer of 53.
159 divided by 3 because you have to find out how many times the bird flaps his wings in a second so by dividing that you will get your answer here look 159 divided by 3 will equal 53 and that is the answer the work to show how you got the answer is just dividing 159 by 3 :)

1. You decide to buy some new clothes. The subtotal comes to $123.79, butyou have a 15% off coupon. What is the total you will spend? *

Answers

Answer:

$105.22

Step-by-step explanation:

the coordinates of a point on a coordinate grid are (−1, 5). the point is reflected across the x-axis to obtain a new point. the coordinates of the reflected point are (1, −5) (−1, 5) (1, 5) (−1, −5)

Answers

Hello,

Answer D (-1,-5)
==============

Answer:

D 1,5 is the answer

Step-by-step explanation:

Зу = х - 9y = -x + 1
Using the graphing method, which of the following choices is the solution of the system?
A=(-3 ,-2)
B=(3 ,-2)
C= Infinite solutions
D= No solutions

Answers

Answer:

did i got it correct if yes follow plz

used a graphing tool to, well, graph it

see the solution in the screenshot, it's the point where the two lines intersect

Enter the exponents for the variables of the GCF of the following monomials.9x 2 y 2 and 5x 2 y 3

Answers

The smallest exponents of the x and y term are 2. The Greatest Common Factor ( G C F ) for 9 x² y² and 5 x² y³ is:  x² y².

Answer:

The GCF of monomial 9x^2y^2 and 5x^2y^3  is  x^2y^2

Step-by-step explanation:

Given monomial 9x^2y^2 and 5x^2y^3

We have to find the GCF of the given monomial.

GCF stands for greatest common factor that is a factor that divides the given numbers.

9x^2y^2  can be written in factors form as

9x^2y^2=3 \cdot 3 \cdot x \cdot x \cdot y \cdot y

And

5x^2y^3 can be written in factors form as

5x^2y^3=5\cdot x \cdot x \cdot y \cdot y \cdot y

Taking common factor, we have x^2y^2

Thus, the GCF of monomial 9x^2y^2 and 5x^2y^3  is  x^2y^2

Rory walks a combined 7/8 of a mile to school and back each day. How many miles does he walk each way?

Answers

Whats half of 7/8?
1/2*7/8= 7/16 of a mile
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