Find the vertex of the parabola. y = negative 4 x squared + 24 x minus 35 a. ( -3, 1) c. ( 3, 1) b. ( -3, -1) d. ( -1, -3)

Answers

Answer 1

Answer:

(3, 1)

Step-by-step explanation:

y = -4x² + 24x - 35

Find the vertex by using the formula:

(h, k) → [tex]\displaystyle \Big [ -\frac{b}{2a}, \ f \Big (-\frac{b}{2a} \Big ) \Big ][/tex]

In this problem, we have:

a = -4 b = 24 c = -35

Using 24 for b and -4 for a, we can substitute these values into the vertex formula:

[tex]\displaystyle -\frac{b}{2a} \rightarrow -\frac{24}{2(-4)} = \frac{-24}{-8} = 3[/tex]

The h-value for the vertex is 3.

Now let's plug 3 back into the standard form equation to solve for the k-value of the vertex.

[tex]-4x^2 + 24x - 35 \rightarrow -4(3)^2+24(3)-35 = -36 + 72 - 35 = 1[/tex]

The k-value for the vertex is 1.

The vertex of the parabola is (3, 1).


Related Questions

PLEASE HELP!! Will mark brainliest, find the measure of

Answers

Answer:

[tex]m\angle BYP=42^\circ[/tex]

Step-by-step explanation:

Lines and angles

The figure shows three lines forming two angles BYP and PYH whose measures add up to 90° because it's marked as a right angle.

[tex]m\angle BYP+m\angle PYH=90^\circ[/tex]

We are given the acute angles as a function of m. thus:

5m + 98 + 2m + 48 = 90

Simplifying:

5m + 146 = 90

5m = -56

m = -56/5 = -11.2

m = -11.2°

To find the measure of angle BYP, substitute m in

5m + 98 = 5*(-11.2) + 98 = 42°

[tex]m\angle BYP=42^\circ[/tex]

In quadrilateral ABCD m < A= 90°
m 2 C = 50° and m < B = m D.
Find the degree measure of < B.

Answers

Answer:

m∠B = 170°

Step-by-step explanation:

Sum of all angles in quadrilateral is 360°:

m∠A + m∠B + m∠C + m∠D = 360°

m∠B = 360° - m∠A - m∠C - m∠D

m∠A = 90°

m∠B = m∠D= 50°

m∠B =  360° - 90° - 50° - 50° = 170°

PLEASE HELP ME
a store sells two kinds of candles, scented and unscented. The scented candles burn 3/10 inch in 1/5 hour. The unscented candles burn 4/6 inch in 1/3 hour. it's due in 10 mins​

Answers

the unscented candles burn faster at a rate of (1/3) inches/ hour

Step-by-step explanation:

scented candles:

(1/12) / (20/60) = 1/4 inches/ hour

unscented candles:

(1/6) / (30/ 60) = 1/3 inches/ hour

hope it helps!

A giant tortoise moves at a slow but steady pace. It takes
the giant tortoise 3 seconds to travel 10.5 inches.
How many inches will the tortoise travel in 1 second?

Answers

the answer should be that it will take the tortoise 1 second to travel 3.5 inches

Launch Problem
A group of friends is making goody bags for a birthday party. They have 12 pencils, 6 erasers, and 18 stickers.
(a) What is the greatest number of identical goody bags they can make using all of the pencils, erasers, and stickers?
(b) How many pencils, erasers, and stickers would each bag have?

Answers

Answer:

A) 6

B) 2 Pencils,1 Eraser,3 Stickers.

Step-by-step explanation:

Hope this helps!

what is the value of x?

Answers

Answer: The horizontal value in a pair of coordinates how far along the point is. The X Coordinate is always written first in an ordered pair of coordinate (x,y), such as (12, 5).

Step-by-step explanation: Hope This Helps :)

For a example, the value 12 is the X coordinate. And Also called Abscissa.                              

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown".

Given that R= 7x + 7y
Find r when y = 2 and R=8

find x
Give your answer as a fraction in its simplest form.​

Answers

Answer:

Step-by-step explanation:

564/5

simplify this algbraic expression completely 5y-3(y+2)

Answers

Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

3(3) + 3(2/3)......................

Answers

3 (3) + 3 (2/3) = 11

x + 3 = 0

y = 1

What is the solution of the system?

(3, 1)
(1, 3)
(1, -3)
(-3, 1)

Answers

Answer:

1 i think this is answer...

Evaluate 3x-5y when x=5 and y=1

Answers

Plug in the values
3(5) - 5(1)
15 - 5 = 10

Solution: 10

Answer:

10

Step-by-step explanation:

Place it in.

3(5)-5(1)

15-5

10

Jug A holds 1800ml Jug B hold 3/10 more. How much does jug B hold?​

Answers

Answer:

Jug B can hold 2340 ml.

Step-by-step explanation:

Given

The amount in Jug A = 1800ml

To determine

How much does jug B hold?​

Give that the Jug B holds 3/10 more, i.e.

[tex]\frac{3}{10}\times \:1800=540[/tex]

Thus,

The total amount in Jug B = 540+1800

                                           = 2340 ml

Therefore, Jug B can hold 2340 ml.

Answer:

get into it

Step-by-step explana   tion:

 

A team of seven workers started a job, which can be done in 11 days. On the morning of the fourth day, several people left the team. The rest of the team finished the job in 14 days. How many people left the team?

Let x be the number of people who left the team.
(Hint: Focus on the work left after several workers left. )

Answers

Answer:

3 people left

Step-by-step explanation:

The job can be completed by 7 people in 11 daysThe job is equivalent of 7*11 = 77 people*days

After 3 days, job left:

(11 - 3)*7 =  56 people*days

This was completed by 7 - x people as x people left

Time needed was 14 days, we have new equation:

14(7 - x) = 567 - x = 4x = 7 - 4x = 3

As we found, 3 people left

6) A right triangle its rotated about an axis that passes through its height as shown. Which type of object will be formed by its rotation? Describe in words or draw a picture
object will be formed by its rotation? Describe in words or draw a picture.

Answers

Answer:

a cone

Step-by-step explanation:

i got it right

Answer:

CONE

Step-by-step explanation:

boris has 10 pairs of jeans 15 shirts and 7 sweaters in his closet right the ratio of sweaters to pairs of jeans using a colon

Answers

Answer:

7:10 or 3:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

7:10 h

a rock is thrown into a pond from a bridge above. The path the rock follows can be modeled by the equation h = - 16t^2 +44t + 12, where t is time and h is the height of the rock. Which of the following expressions is equivalent to this expression?

Answers

Ans

Step-by-step explanation:i dont know

will give brainlest

What property is demonstrated by the way in which numbers are grouped when they are added or multiplied and it does not change their sum or product?
Group of answer choices

Identity Property

Distributive Property

Associative Property

Commutative Property

Answers

Answer:

I guess, that's an Associative Property .

For questions 13 - 14, determine which mappings are functions. please help, will give brainliest

Answers

Answer:

24

Step-by-step explanation:

4X + 11 < -21 graph represents

Answers

Answer:

The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3

Answer: x=-8.   (graph with open circle going left from -8 for khan academy)

Step-by-step explanation:   -21-11<-32

4x>-32

x<-8

List the sides in order from shortest to longest. The diagram is not to scale. Triangle upper J upper K upper L is shown. Angle upper J is labeled 45 degrees. Angle upper K is labeled 57 degrees. Angle upper L is labeled 78 degrees. A. Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar, line segment JK B. line segment JK,Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar C. line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar D. Modifying above Upper L Upper K with bar, line segment JK, Modifying above upper L upper J with bar

Answers

Answer:

your answer would be C

Step-by-step explanation:

line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar

A school has a capacity of 965 students. If 541 students are already enrolled in the school, how many students remain? Round to the nearest ten.

Answers

Answer:

420 students

Step-by-step explanation:

965-541=424

round to the nearest ten and you get 420

i hope this helped, please mark this as brainliest! thanks

Answer:

The answer is 420

Step-by-step explanation:

You first do the equation 965 - 541. The answer to that is 424, but when you round it to the nearest ten, the answer would be 420.

PLEASE ANSWER 16 17 18 CORRECTLY I WILL MARK BRAINLIST

Answers

Answer:

A   A  B

Step-by-step explanation:

Need to solve help plz

Answers

Correct me if I am wrong

Your bill at pizza hut is $30. You leave 20% tip. Whats is the amount of tip?

Answers

You gave $30.

[$30 * 0.20] (tip % amount) = $6.

You left $6 in tips.

what’s the answer? i need it asap please

Answers

Answer:

D

Step-by-step explanation:

Subtract 30 and 16. Cross out 0 and make it a 10 and 10-6= 4 then take 1 from 3 and make it a 2 and 2-1=1. It will all equal up to 14!

Answer:

8x+30+4x+18=180

12x+48=180

180-48=12x

132=12x

x=132/12

x=11

is 9 a irrational number ​

Answers

Answer:

No.

9 Is rational.

Step-by-step explanation:

I'm 100% sure.

Evaluate the following expression.
1 -4 x (-3) + 8 x (-3)

Answers

Your answer to this is -11

Answer:

1-4×(-3)+8×(-3)

1-(-12)+(-24)

-13+(-24)

-37 or,-11

what's the ratio for 3 stars and 7 circles

Answers

Answer: 3:7

Step-by-step explanation:

There are 3 stars for every 7 circles, thus the ratio is 3:7.

Answer:

3 : 7.

Step-by-step explanation:

For every 3 stars, there are 7 circles. If 3 stars is written first, you'll need to write 3 first in your answer, and 7 second.

This is what it would look like: 3 : 7

With ratios, you could also write,

3 to 7

or

3 / 7

But 3 : 7 is most common :)

summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years​

Answers

Answer: B.12 years

Step-by-step explanation:

1-27
What is the simplified version of Square root of -27

Answers

Answer:

3√3

Step-by-step explanation:

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