find vertex and min/max !! HELP ASAP!!
y=-2(x+9)(x+3)

Answers

Answer 1

Answer:

max at (- 6, 18 )

Step-by-step explanation:

Given the equation of a parabola in intercept form

y = a(x + c)(x + d)

• If a > 0 then min vertex

• If a < 0 then max vertex

y = - 2(x + 9)(x + 3) ← is in intercept form

with a = - 2 < 0 then max vertex

y = - 2(x + 9)(x + 3) ← expand factors using FOIL

  = - 2(x² + 12x + 27) ← distribute parenthesis by - 2

y = - 2x² - 24x - 54 ← in standard form

with a = - 2 and b = - 24

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{-24}{-4}[/tex] = - 6

Substitute x = - 6 into the equation and evaluate for y

y = - 2(- 6 + 9)(- 6 + 3) = - 2(3)(- 3) = 18

vertex = (- 6, 18 ) and is a max


Related Questions

Apply the Triangle Sum Theorem to find the sum of the angles in the pentagon. A pentagon can be divided into three triangles.​

Answers

Step-by-step explanation:

according to angle sum property of triangle

sum of all 3 angles of triangle is 180°

and here it is given that the Pentagon is divided in 3 triangles,

now,

3×180 = 540°

therefore, option C 540° is correct

hope this answer helps you dear! take care

Answer:

540

Step-by-step explanation:

Each triangle only has 180 degrees

We have 3 triangle, 180 + 180 + 180 = 540 degrees

PLEASE HELP!!! I need help, I don't understand please help me!!!!

Answers

Answer:

2.5

Step-by-step explanation:

Length of CB is 5

so we can take CF which is the midpoint and divide that by 2 since its split

pls help ill give brainliest

Answers


All angles inside of the traingle add up to 180. So 180-(117+42)=21.

can someone help me please.​

Answers

Answer:

B, or second answer choice

Step-by-step explanation:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

y - 1/3 = 3/4 (x - 4)

B

are c and d the correct answer for this question?

Answers

Answer:

A E

Step-by-step explanation:

A => 10/4 = 5/2

B => 4/2 = 2

C => 2/5

D => here y is less than x

E => 10/4 = 5/2

A hot air balloon leaves the ground and ascends at a rate of 5 feet per minute for 4 minutes.

Then descends at a rate of 2 feet per minute for 7 minutes. How far above the ground is the

balloon now?

Answers

When the balloon is on the ground, it is at point 0. It starts to go up at 5 f/m for a time of 4 minutes. So we will multiply 5 by 4 to get 20. At this point, the balloon is 20 feet off the ground. However, we now know that the balloon descends at 2 f/m at a time of 7 minutes. So we must multiply 2 by 7 to get 14. So we know it was at 20, and then it went down by 14.

20 - 14 = 6 feet

This means that the balloon is now 6 feet above the ground.

I hope I've helped! :)

The hypotenuse of a right triangle measures 9 cm and one of its legs measures 4 cm. Find the measure of the other leg.

Answers

Answer:

The other leg is √65 cm

Step-by-step explanation:

Hi there!

We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm

We want to find the measure of the other leg

In right triangles, we can use the  theorem to find the value of a side, if we know the lengths of the other two sides

The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse

If we say a is 4 and c is 9, then the equation will look like this:

(4)²+b²=(9)²

Raise each number to the second power

16 + b²= 81

Subtract 16 from both sides

b²=65

Take the square root of 65

b=√65, -√65

-√65 is not an applicable root for this problem, since distance cannot be negative

Hence, our answer is √65 cm

Hope this helps!

PLEASE HELP NEED TO GET THIS RIGHT WILL GIVE BRAINLIEST

Answers

Answer:

27 / 4x^6y^8.

Step-by-step explanation:

= 4 * 3^3 x^6 y^12 / 16 x^12 y^20

= 4*27 / 16 x^6y^8

= 4*27/ x^6y^8

= 27 / 4x^6y^8

7.
Adam purchased 52 litres of gas for $58.71. How much was one litre of gas? (Round to
three decimals)

Answers

Answer:

$1.129

Step-by-step explanation:

Serena needs ribbon
for an art project. The cost of the ribbon is 5 feet for $3.00.

Feet of Ribbon 1 5 10 15

Cost (in dollars) $3.00

a. Complete this ratio chart based on the information provided.

b. How many feet of ribbon can Serena buy for $12.00?

c. If Serena needs 17 feet of ribbon, how much will she pay? How do you know?

Answers

Answer:

(can't answer a since the ratio chart is incomprehensible through text)

b. 20 feet of ribbon for $12.00

12 / 3 = 4

5 x 4 = 20

c. 17 feet of ribbon for $10.20

find unit rate (cost / quantity)

3 / 5 = $0.60 per feet

0.60 x 17 = 10.2

g(x)=(x-1)^3-1 find the inverse of this function

Answers

Answer:

G^−1(x)=3√x+1+1      

Step-by-step explanation:

Answer:

[tex]g^{-1}(x)[/tex]= [tex]\sqrt[3]{x+1}[/tex]+1

Step-by-step explanation:

To find the inverse, swap x and y.

g(x)=(x-1)^3-1

-> x=(y-1)^3-1

Solve the equation in terms of y.

x=(y-1)^3-1

x+1=(y-1)^3

[tex]\sqrt[3]{x+1}[/tex]=y-1

[tex]\sqrt[3]{x+1}[/tex]+1=y

Choose the correct definition of
(2)
from below.
A.
kI
n!(n – kỳ!
B.
n!
(n-k)!
C.
!
k!(n-k)!
D.
n!
K!(K-n)!

Answers

Answer:

Answer is C noumber

Step-by-step explanation:

We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).

The formula for the number of combinations of n things taken r at a time is given by :-

C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}C(n,k)=(n/k)=

k!(n−k)!

n!

Hence, C is the right option.

Francis graphs the system of equations to determine its solution.


3x+2y=12
3x−y=3


What is the correct solution?


Enter your answer by filling in the boxes.

Answers

Answer:

Step-by-step explanation:

3x+2y=12   x= −2/ 3 y+4

3x-y=3    x= 1 /3 y+1

i hope this helps in anyway :/

The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

What is a Linear Equation?

If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given that the system of linear equations;

3x + 2y = 12 and 3x − y = 3 is

Solving the equations by elimination, we get

x = 2 and y = 3

Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

For more reference on Linear Equation, click;

https://brainly.com/question/13738061

#SPJ2

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

f(x) = 6x – 1
f(x) = 8x – 6
f(x) = 4x – 14
f(x) = 4x – 10

Answers

Answer:

483/798-5458+7429=19035674846 :))

Step-by-step explanation:

Can someone help me?​

Answers

Answer:

  CD = 32 units

Step-by-step explanation:

The midpoint divides the segment into congruent parts:

  CM = MD

  8(x -2) = 4(5x -16)

  2(x -2) = 5x -16 . . . . . . divide by 4

  2x -4 = 5x -16 . . . . . . . eliminate parentheses

  12 = 3x . . . . . . . . . . . . . add 16-2x to both sides

  4 = x . . . . . . . . . . . . . . . divide by 3

Then the segment measures are ...

  CM = 8(x -2) = 8(4 -2) = 16

CD is twice that length. CD = 32 units.

_____

Additional comment

There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...

  8x -16 = 20x -64

Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.

Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."

PLEASE HELPPPPPPPPPPPPPP

Answers

Answer:

The answer is 18

Step-by-step explanation:

4050/225 = 18

Therefore 4050/18 = 225

Find the slope
Answers:
Question 1 options:

-3


3


-2

Answers

Answer:

b

Step-by-step explanation:

Answer is 3 I think

A city council acquired 3,437.5 acres of land to add to their park system. The city plans to divide the acreage evenly into 22 separate parks.
There will be ___ acres in each park.

please help

Answers

there will b 156.2 acres in each park. hope this helps!!

write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4

Answers

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

(EDITED) Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

Round 76.28 to the nearest whole number

Answers

Answer:

76

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

.28 is less than .50 therfore it will be rounded down to 76

Which product is represented by the hundredths grid A. 0.5 X 0.02 = 0.01

B. 5 X 0.2=1

C. 0.5 X 0.2 = 0.1

D. 0.05 X 0.02 = 0.001

Answers

Answer:

The product of A would be the answer

A cyclist travels 122.5 km in 2 hours. Calculate his speed. *


61.25 km/hr
.016 km/hr
65 km/hr

Answers

Answer:

61.25

Step-by-step explanation:

speed = distance / time

speed = 122.5 km / 2 hour

= 61.25

Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not.

Answers

Answer:

Step-by-step explanation:

what's 12+12+12?
_______


.

Answers

Answer:

the answer is ;

12+12+12 = 36

Patrice and her husband are going on a 6-mile hike. So far they have hiked
3 miles. How much farther do Patrice and her husband have left to hike?
3

Answers

Answer:

3 miles

Step-by-step explanation:

6 total miles

3 miles done

6 (total) = 3 (done) + x (unknown)

x = 6 - 3

x = 3

3 miles left to hike


Do you know what the variables could be

Answers

Answer:

5, 7, and 12

Step-by-step explanation:

First we can make and equation

x + z + y = 24

we can plug in the numbers you gave us giving us

y = x + z

z = y - x

x = (y - 2) ÷ 2

Once, were done we get that x = 5 ≈ smallest number

z = 7 ≈ second largest number

y = 12 ≈ largest number

I'll mark brainliest if your right! please help me!!!!

Answers

Answer:

its 3 and 5

Step-by-step explanation:

i know this because i took the quiz and its simple

What is the image of M(11,-4) using the translation (x,y)->(x-17,y+2?

Answers

Answer:

(-6, -2)

Step-by-step explanation:

Consider the line y = 3/5x + 4.

Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1)

Answers

Answer:

y=3/5x + 2

Step-by-step explanation:

y-(-1)=3/5(x-(-5))

y+1=3/5(x+5)

5y+5=3x+15

5y=3x+10

y=3/5x+2

I need help getting the answer to this -71+blank=21

Answers

Answer:

It is Positive 92

Step-by-step explanation:

-71 + 92 = 21

Other Questions
can someone help me please what is 2x-4y=12 x-3y=10 4,505 in expanded form The area of a trapezoid is 65mm2, the top is9mm long, the height is 11mm long. Find the base of the trapezoid. True or False: The right and left lungs are the same size. theres no actual question just this picture & multiple choices , please help . Which unit is 10,000 times LARGER than the MICRO unit? help meeeee points on the line help 1Gwen drew a picture of an octopus in art class. 2It was outlined in black and shaded with greens and browns. 3It had huge eyes and eight long arms. 4In each of its wiry limbs, it held a different food. 5I think Gwen was hungry when she drew it.Which sentence best varies the fluency and style in the paragraph? Which of the following describes how most farms in the United States are run? 656nm into m plzzzzzzzz Which ion has the correct charge?07-Na 2+N 3+Ca2+ What is the value of x? The 95% confidence interval is from __ to __? Find -5(-12) + (-15)With explanation please i forgot how to do it Carbon tetrachloride (CCl4) is diffusing through benzene (C6H6), as the drawing illustrates. The concentration of CCl4 at the left end of the tube is maintained at 1.71 x 10-2 kg/m3, and the diffusion constant is 21.9 x 10-10 m2/s. The CCl4 enters the tube at a mass rate of 5.86 x 10-13 kg/s. Using these data and those shown in the drawing, find (a) the mass of CCl4 per second that passes point A and (b) the concentration of CCl4 at point A. Please help please please help me help please Taaolsbi unscrambled will give brainliest g(x) = 2x + 4h(x) =-3x + 4Find (goh)(x) 5) Which answer best paraphrases the last lines? (Remember, when you paraphrase, you keep the main ideas but change the way it is said.)A) None of the villagers helped, so the wolf was able to eat many sheepB) Not one villager helped. The wolf ate all of the sheep, and it probably ate the boy, too.C) No one came to help. The wolf had a feast of sheep that day.D) No one came when he called. The wolf had a meal with the sheep.