Consider the equation of parabola y = 5x - 30x + 45.
Its vertex is located at
( , )

Consider The Equation Of Parabola Y = 5x - 30x + 45.Its Vertex Is Located At( , )

Answers

Answer 1

Answer:

(3, 0 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c (a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 5x² - 30x + 45 ← is in standard form

with a = 5, b = - 30 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-30}{10}[/tex] = 3

Substitute x = 3 into the function for corresponding value of y

y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0

vertex = (3, 0 )

Answer 2

Answer:

Vertex is (3,0)

Step-by-step explanation:

Given y= 5x^2 - 30x + 45

         y    = 5 ( x^2 - 6x + 9)

               = 5 ( x -3 )^ 2 + 0

Standard formula of parabola is y = a(x - k)^2 + k where vertex is (h,k)

Here, h = 3 and k = 0

So,  Vertex is ( 3, 0)


Related Questions

What is the relationship between ratios and rates?

Answers

Answer:

The relation ship between ration and rates is they compare numbers

Step-by-step explanation:

Please give brainliest

Answer:

Ratio is comparing 2 things like apples to oranges and rates is how much is it like a percentage for example there is 4% oranges.

Step-by-step explanation:

The table shows a linear function.
X
у
-1
5
0
2
3
-7
8
-22
What is the slope of the table?
OOT

Answers

Answer:

-3

Step-by-step explanation:

:)

Pls help
An elephant at an animal sanctuary weighs 5.5 tons. He receives a daily nutritional supplement. The instructions say to give 1 fluid ounce of supplement for every 250 pounds of body weight. How many fluid ounces of supplement should the elephant receive? no options I need to type it in.

Answers

Answer:

44 fluid ounces.

Step-by-step explanation:

It's important to keep in mind that 1 ton is 2,000 pounds.

5 x 2,000 = 10,000 pounds.

You have to add 1,000 pounds because of the '.5' at the end of the 5. That leaves you with 11,000 pounds.

Now, you have to divide by 250 to find how many fluid ounces you need.

[tex]\frac{11,000}{250}[/tex] = 44.

You need 44 fluid ounces of supplement.

Answer:

44

Step-by-step explanation:

SANDBOX A rectangular sandbox at a playground is 3 yards long by 2.3 yards wide. What is the area of the sandbox?

Answers

Answer:

the answer is 6.9

Step-by-step explanation:

this is because 3 x 2.3 =6.9 because 3 x 2 = 6 and 3 x 3= is 9 so together it is 6.9

Please help me. I am pretty confused on this ​

Answers

Answer:

C

Step-by-step explanation:

16's square root is 4

the square root of 16 is 4

find the Missing angle

Answers

Answer:

50

Step-by-step explanation:

70+60 =130

180-130 = 50 degrees

Answer: 50

Step-by-step explanation: Every triangle is 180 degrees so add the 60 and the 70 to get 130. 180-130=50. So 50 is your answer.

Please help me. No links are allowed. This is really urgent find the volume of the irregular figure.

Answers

240 cm squared

Explanation: split it into two figures, 6x7x4 and 2x4x9 and then add them. It’s a lot easier

WILL MARK BRAINLIEST
4. Find x.
A) 10
B) 10.5
C) 11
D) 11.5

Answers

10.5 ( near parallel to the one next to x which will equal 11 or 11.5 but 10.5 is associated with its compression.

Answer = 10.5

(thanks if you give branliest it is always appreciated)

Solve the following equation by completing the square. x2-18x+78=0

Answers

The answer is 10.73 btw hope this helps

An altitude is also called the __ of the triangle. One endpoint must be a _____ of the triangle. The altitude creates a ______ ______ with the opposite side of the triangle. FILL IN THE BLANKS

Answers

Answer:

do you have answer choices or is this just fill in the blanks ?

Evaluate the expression for v = 8

Answers

V = 8, because it can’t be simplified any further.

2. A recipe calls for 2 3/4
Cups of milk. How much is this in mL?

Answers

A cup of milk is one whole cup

Can someone please help me

Answers

Answer:

3. Add 11, then multiply by 3

4. Subtract 43, then multiply by 9

Step-by-step explanation:

Does that make sense?

pls help asap 15 point and brainliest

Answers

Answer:

The distance between the two points is 10.3

Step-by-step explanation:

To find the length of the line joining the two points, we are going to use the distance formula

Mathematically, we have this as;

D = √(y2-y1)^2 + (x2-x1)^2

From the question;

(x1,y1) = (-3,4)

(x2,y2) = (2,-5)

Thus, we have it that;

D = √((-5-4)^2 + ((2-(-3)^2

D = √81 + 25

D = √(106)

D = 10.3

65/p • 3 when p = 5

Answers

Answer:

39

Step-by-step explanation:

65/5=13

13x3=39

Answer:

39

Step-by-step explanation:

Note that p = 5. Plug in 5 for p in the expression. Remember to follow the  

left-> right rule:

65/p • 3

65/5 • 3

(65/5)  •  3

(13)  •  3 = 39

39 is your answer.

~

Liliana correctly answered 92% of the questions on a geography quiz. Lu answered 47 of 50 questions correctly. Who earned the higher score? Explain.

Answers

Answer:

Lu

Step-by-step explanation:

.....................m

Someone help and plz make sure it’s right? :)

Answers

Answer:

Right

Step-by-step explanation:

It is right because every angle with 90° degree or with these shapes are called right angled traingle.

if it helps don't forget to like and mark me

someone please help me

Answers

(22 + 15.50 + 2.75) 15

(22 * 15) + (15.50 * 15) + (2.75 * 15)

Help pls and no links

Answers

We know a or b != 0

but a-b==0 so both are the same unknown number

b/a must = 1

so

a/b is equivalent to b/a as a/b=1 as well.

So the last answer choice.

Elaine has a $25 gift card. She uses the card each
month to purchase a magazine for $3.50 at the
bookstore. How much money will Elaine have
remaining on her gift card after 7 months?

Answers

Answer:

$0.50

Step-by-step explanation:

multiply 3.50 by 7 and you get 24.5. $25.00-$24.50= $0.50

Answer:

0.5

Step-by-step explanation:

Well lets start with a basic equation.

$25=3.50(7)

25= 24.5 multiply 3.50 and 7

25-24.5=0.5 subtract the total from the whole

After using the card for 7 months she will have 5 cents left on her card.

Pepe compró una caja de chocolates en $5.950, incluido el 19% de IVA. ¿Cuál es el precio de la caja de chocolates sin el IVA?

Answers

Answer:

$4819.5

Step-by-step explanation:

Pepe bought a box of chocolates for $ 5,950, including 19% VAT. What is the price of the box of chocolates without VAT?

The price of chocolates = $5,950

VAT = 19%

We need to find the price of the box of chocolates without VAT.

VAT is applied on the Cost price of the object.

Price = $5,950 - 19% of $5,950

[tex]=5950- 5950\times \dfrac{19}{100}\\\\=\$4819.5[/tex]

So, the price of the box without VAT is equal to $4819.5.

Please help I'll mark brainliest

Answers

Put your y-intercept at (0,1), and then place the points (3,2), (6,3), (9, 4), (-3,0), (-6,-1), and then (-9, -2).

Which data set has a variation, or mean absolute deviation, similar to the data set in the given dot plot?
.
. .
. . . . . . .
<-]---]---]---]---]---]---]---]---]---]---]---]->
⁵⁰ ⁵¹ ⁵² ⁵³ ⁵⁴ ⁵⁵ ⁵⁶ ⁵⁷ ⁵⁸ ⁵⁹ ⁶⁰ ⁶¹​

Answers

Answer:

I'd say B has similar data set

What is the solution to this equation?
-1.6x=80
O A X-50
Ов. х = -5
O c. X= 50
O D. X= 5

Answers

Answer:-50

Step-by-step explanation:

-1.6x=50

for x

x=50/-1.6

x=-50

The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours.

Answers

Question:

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Which times and distances are represented by the function?  

(a)The starting distance, at 0 hours, is 300 miles.

(b) At 2 hours, the traveler is 725 miles from home.

(c) At 2.5 hours, the traveler is 875 miles from home.

(d) At 3 hours, the distance is constant, at 880 miles.

(e) The total distance from home after 6 hours is 1,062.5 miles.

Answer:

At 2 hours, the traveler is 725 miles from home.  At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062.5 miles.

Step-by-step explanation:

Given

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Required

Select the right options

(a) t = 0 hours, d(t) = 300 miles.

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

So, we have:

[tex]D(0) = 300*0 + 125[/tex]

[tex]D(0) = 0+125[/tex]

[tex]D(0) = 125[/tex]

(a) is incorrect

(b) t =2 hours, d(t) = 725 miles

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

[tex]D(2) = 300 *2 + 125[/tex]

[tex]D(2) = 600 + 125[/tex]

[tex]D(2) = 725[/tex]

(b) is correct

(c) t = 2.5 hours, d(t) = 875 miles

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(2.5) = 800[/tex]

(c) is incorrect

(d) t = 3 hours, d(t) = 880 miles constant

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(3) = 800[/tex]

(d) is correct

(e) t = 6 hours d = 1,062.5 miles.

To check this, we make use of:

[tex]D(t) =75t + 612.5,\ 3.5 < t \le 6[/tex]

So, we have:

[tex]D(6) =75*6 + 612.5[/tex]

[tex]D(6) =450 + 612.5[/tex]

[tex]D(6) =1062.5[/tex]

(e) is correct

less than equal to or greater than 3827

Answers

Answer:

it is less than, greater than, equal to, and less than

Step-by-step explanation:

if the numerator is greater than the denominator the fraction is greater than 1 and therefore you will have a number greater than 3827, if the numerator is less than the denominator the fraction is less than 1 and you will have a number less than 1, if the numerator and denominator are equal the fraction is equal to 1

Answer:

2.  3,827 > 8/3   3.  3,827 > 8/8     4.  3,827 > 3/5

Step-by-step explanation:

In problem 2. 8/3 as a decimal is 2.6 so that means 3,827 is greater. In problem 3. 8/8 as decimal is 1 so that means 3,827 is greater. In problem 4. 3/5 as a decimal is 0.6 so that means 3,827 is greater. i hope this helps have a good day :)

We can rewrite the expression 16+8 as 8 x (2+1). Notice that 8 is the greatest factor of 16 and 8. Use this same method to rewrite the expression 24+36 as the product of the greatest common factor of 24 and 36 and the sum of the remaining numbers. 24 + 36 = ____________

Answers

Answer:

60

Step-by-step explanation:

24+36=60

Answer:

60

Step-by-step explanation:

24+36=60

Check out this rectangular prism

Find the surface area of the rectangular prism (above) using its net (below).

Answers

Answer:

52

Step-by-step explanation:

Used hint.

Answer:

52

Step-by-step explanation:

if you are on khan or on something else it is 52

Look at the figure. A 10 foot tall flagpole cast a shadow that is 24 feet long what is the approximate length of the shadow cast by a 24 foot tall pole at the same time

Answers

Approx 60 feet see pic for work

please help and no files please

Answers

B hope this helps :)
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