Find the coordinate of the vertex of the following parabola algebraically. y=2x^2-28x+80

Answers

Answer 1
Answer:

Answer:

vertex = (7, - 18)

Step-by-step explanation:

given a parabola in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_(vertex) = - (b)/(2a)

y = 2x² - 28x + 80 is in standard form

with a = 2, b = -28 and c = 80, hence

x_(vertex) = - (-28)/(4) = 7

substitute x = 7 into the equation for corresponding value of y

y = 2(7)² - 28(7) + 80 = 98 - 196 + 80 = - 18

vertex = (7, - 18)



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Tracy is saving to buy a new guitar that costs $253.77 (including tax). Tracy has saved $136.27, and she can save $23.50 each week.How many more weeks will it take her to save enough money?

2 weeks
5 weeks
7 weeks
10 weeks

Answers

Subtract how much she has saved already from the total cost:

253.77 - 136.27 = 117.50

She needs $117.50 more.

Now divide that by the savings per week to find the number of weeks:

117.50 / 23.50 = 5 weeks.

Answer:

5 weeks

Step-by-step explanation:

hope it helps

one day the temperature went from 12 degrees Celsius to -3 degrees Celsius in 5 hours. what was the average temperature change per hour?

Answers

The average temperature change per hour is -3 degrees C

Can some one help me? Please!

Answers

(1)/(3)(n+3)=6\nn+3=18\nn=15 \Rightarrow C
(1)/(3)(n+3)=6 \n  (1)/(3)n+1=6 \n -1\ \ \ \ -1 \n  (1)/(3)n=5 \n n=\boxed{15}

A hamster wheel has a diameter of 8.5 in. How many inches does the hamster run in one revolution? Use 3.14 to approximate for π . Enter your answer, as a decimal rounded to the nearest tenth, in the box.

Answers

26.7



8.5 x 3.14 = 26.69

(round answer)
Well you would set up the equation like this:

c = 3.14(8.5)

and it would equal: 26.69

What is 0+-4????????????

Answers

0 + -4 = -4 

the 0 has no value and cannot add anything on top of the -4

So -4 stays the same:)

Answer = -4 

Good Luck! :)
Integer Numbers -They are all positive and negative whole numbers, which do not include any fractional or decimal part.  

Consist of the set of numbers: {…-4, -3, -2, -1, 0, 1, 2, 3, 4…} 

If a number has no sign it usually means that it is a positive number. 

Example {0,1,2,3,4,5,6.....}

Adding and Subtracting integers 

             Adding integers

(+)+(+) = + sum

(-)+(-) = - sum  

(+)+(-) or (-)+(+) = difference of numbers with signs of larger number in absolute value. 

           Subtracting Integers

(-)(-) = + sum 

(-)(+) = - sum 

Since 0 is a positive number and -4 is a negative number, we can represent them as (-)(+) = - sum 

0+(-4) Equation 

0-4   Simplify 

-4  = Solution

Can someone please help me with all 3 of these questions
By today thank you

Answers

5 x 2/4 = 5/1 x 2/4 =  2 2/4 = 2 1/2
8)   not equal, not equal, equal
9)   1/8 of a pound is in each portion
10)   $3.75

I hope this helps you. With number 8, all i did was simplify the fractions and see if the can be equal to the first fraction in the whole question and determined my answer by that. For number 9, i divided 1/2 of a pound by 2 and got 1/4 of a pound, and then divided that by 2, and i got the answer of 1/8 of a pound. When it come to number 10, i multiplied $0.50 by 7 and got $3.50, and since the last part was half a foot i knew it would cost $0.25 instead of $0.50, so i just added that to the answer and got the end result of $3.75.