how do i find the vertex of y= -4x^2-16x+1 ?

Answers

Answer 1

Answer:

(-2, 17)

Step-by-step explanation:

the first step you can do to find the vertex is to find the axis of symmetry

the equation for that is -b/2a

-(16) / 2(-4)

-16 / 8 = -2

the axis of symmetry is x =-2 so you plug in -2 to the equation

-4(-2)^2 - 16(-2) + 1

-4(4) + 32 + 1

-16 + 33

17

the vertex is (-2, 17)


Related Questions

please help its geometry. Solve for x

Answers

Answer

the answer is x = 9 root 3

PLSSSSS HELP!!!!
I WILL GIVE BRAINLIEST!!!! ​

Answers

Answer:

2.924

Step-by-step explanation:

First you'll solve the parenthesis:

...- (5.5-5.5)

...-(0)

Now solve the equation:

[tex]\sqrt[3]{5^{2} - 0}[/tex]

[tex]\sqrt[3]{25}[/tex]

Now solve fully

I hope this helps :)

Answer:

the answer is 3 times the square root of 27

Step-by-step explanation:

somebody help me this is hard for me

Answers

Answer:

[tex]\huge\boxed{\bf\: \frac{1}{3}\rightarrow probability}[/tex]

Step-by-step explanation:

Given,

Total number of marbles = 6Number of blue marbles = 2Number of yellow marbles = 1Number of red marbles = 3

We are asked to find the probability of choosing a blue marble if they are randomly chosen. Then,

Probabilty of a blue marble

= Number of blue marbles / Total number of marbles

= 2/6

= 1/3

[tex]\rule{150pt}{2pt}[/tex]

Answer number 3 please no bots please I’m just trying to get help.

Answers

Answer:

no 3. is C

no 4. 144 square inch

dhjejdjdoejehdicjf

the diameter of a circle is 12 kilometers. What is the length of a 60 degree arc?​

Answers

Answer:

Step-by-step explanation:

Yo I need to bring up my math grade bad so
y>1/3x
(please show it graphed already :D)

Answers

Answer:

Graph Passing through origin with Gradient ⅓

Step-by-step Solution:

1. Aquire x and y Intercepts by substituting 0 to corresponding value.

When x=0,

[tex]y = \frac{1}{3} (0) \\ y = 0[/tex]

When y=0,

[tex]0 = \frac{1}{3} x \\ x = 0[/tex]

i.e. passing through Origin

do the same for any other 2 points and connect the dots/coordinates and extend the line

If the two acute angles of a right triangle are congruent, then what is the measure of each acute angle?

Answers

each one is equal to 90°/2 = 45°

At a carnival game, you may win an inflatable crayon, you may win a small stuffed animal, or you may win nothing at all. If the probability of winning nothing is 0.72 and the probability of winning a small stuffed animal is 0.19, what is the probability of winning an inflatable crayon? Express your answer as a decimal.

A:0.91
B:0.28
C:0.09
D:0.81

Answers

Answer:

C:0.09

Step-by-step explanation:

probability of winning nothing = 0.72 = [tex]\frac{72}{100}[/tex]

probability of winning a small stuffed animal = 0.19 = [tex]\frac{19}{100}[/tex]

probability of winning nothing + probability of winning a stuffed animal

= [tex]\frac{72}{100}[/tex] + [tex]\frac{19}{100}[/tex] = [tex]\frac{91}{100}[/tex]

probability of winning an inflatable crayon = 1 -  [tex]\frac{91}{100}[/tex]

                                                                      = [tex]\frac{100}{100}[/tex] -  [tex]\frac{91}{100}[/tex]

                                                                      = [tex]\frac{9}{100}[/tex]

                                                                      = 0.09

What number is one hundred thousand less than one hundred
million?

Answers

Answer:

900,000

Explanation:

1 million is 10*100,000, so subtracting 100,000 from it is just like subtracting 1 from 10-- just much much larger numbers.

Answer:

99,900,000

Step-by-step explanation:

Less than ⇒ subtraction⇒ Subtract 100,000 from 100,000,000

100,000,000 - 100,00099,900,000

simplify ( 1 - i ) ( 1 - i ) or ( 1 - i ) ^ (2)​

Answers

Answer:

-2i.

Step-by-step explanation:

( 1 - i ) ( 1 - i )

= 1(1 - i) - i(1 - i)

= 1 - i - i + i^2

Now i^2 = -1 so we have:

1 - 2i - 1

= -2i        

what is the sum of 1 To 101 only positive integers pease fast​

Answers

Answer:

5050

Step-by-step explanation:

sum of first n natural num. = [n(n+1)]/2

sum of first 100 natural num. = (100x101)/2 = 5050

Answer : The sum of 1 to 101 positive integer is 5050

5052 will be sum of 1 to 101 only positive integer

what is the equation of the line that hasthe solution "-2" and 4

Answers

Answer:

First you need to find the slope:  (y2 - y1)/(x2 -x1) = (-4 -(-4))/(0-2) = 0.  So the line is horizontal, which means the y coordinate is constant and equal to -4, so the equation of the line is y = -4.

Step-by-step explanation:

since both points have a y value of -4 you could have jumped directly to y = -4

what is another formula for finding the rate of discount?

Answers

Answer:

Subtract the final price from the original price. Divide this number by the original price. Finally, multiply the result by 100.

Step-by-step explanation:

What is the average rate of change?

A. 4

B. 2/5

C. 1

D. 2​

Answers

Answer:

C) 1

Step-by-step explanation:

The average rate of change remains constant among the 3 given points as [tex]\frac{5-4}{2-1}=1[/tex] and [tex]\frac{10-5}{7-2}=1[/tex], so your answer is C

PLS HELPPPPP I'VE ASKED FOR FOUR TIMES BUT STILL NO ONE IS WILLING TO ANSWER ME THIS IS SO HARD
35 POINTS WILL BE REWARDED
SOLID AND USEFUL ANSWERS PLS THANKS SO MUCH
here are the answers: (a)(ii) 0.9504 (b) 1/6 (c) 1/31
i just need the steps and it'll be better if you could also type some brief explanations :D

Answers

Answer:

O.9504 is the coreect answer bro

Find f(-2) for (x) = 3 . 2^x
O A. -36
O B. -12
O c.1/36

O D. 3/4

Answers

[tex]\sf f(x) = 3 \ * \ 2^x[/tex]

insert x = -2

[tex]\sf f(-2) = 3 \ * \ 2^{-2}[/tex]

[tex]\sf f(-2) = 3 \ * \ \dfrac{1}{4}[/tex]

[tex]\sf f(-2) = \dfrac{3}{4}[/tex]

option D. 3/4 will be the correct answer.

[tex]\\ \rm\Rrightarrow f(x)=3.2^x[/tex]

Put -2

[tex]\\ \rm\Rrightarrow f(-2)[/tex]

[tex]\\ \rm\Rrightarrow 3.2^{-2}[/tex]

[tex]\\ \rm\Rrightarrow 3(1/4)[/tex]

[tex]\\ \rm\Rrightarrow 3/4[/tex]

Jessica has 573 stickers in her collection. How many sets of 10 stickers does jessica have in her collection?​

Answers

Answer:

57 3/10 or 57.3 sets

Step-by-step explanation:

573 stickers divided by 10 sets

Answer:

57 sets of 10 stickers

Step-by-step explanation:

573/10 = 57.3

so, 57 sets of 10 stickers.

Hope this helped! Have a nice day!

Please give Brainliest when possible!

- King Jaron

Circle Y has an area of 394.38cm ^ 2 . What is the circumference? Use 3.14 for pi Round to the nearest hundredth.

Answers

Answer:

70.38 cm

Step-by-step explanation:

π = 3.14

Area of a circle = πr^2

394.38 = πr^2

125.598726 = r^2

r = 11.2070837 cm

Circumference = 2πr

C = 70.3804856 cm

Herbert got a 76 on his last unit test. If he increases his score by 30% on the next test, what will his new score be?

Answers

76 multiplied by 30 divided by 100 is the answer

4 Indira makes a wooden box without a lid. All the faces of the box meet at
right angles. Indira plans to paint all surfaces of the box, including the
inside and outside. The interior of the box has length 13 in., width 8 in., and
depth 7 in. Indira can cover up to 1,350 in.? with
5 cup of paint. Will she
need more than 5 cup of paint to cover the box? Explain how you know.

Answers

Considering the surface area of the rectangular box, it is found that since it is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.

What is the surface area of a rectangular prism?

The surface area of a rectangular prism of length l, width w and depth d is given by:

S = 2(lw + ld + wd).

In this problem, we have that the dimensions, in inches, are given by l = 13, w = 8, d = 7. Hence, the surface area in in² is given by:

S = 2(13 x 8 + 13 x 7 + 8 x 7) = 502 in².

Since the surface area of the box is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.

More can be learned about the surface area of a rectangular prism at https://brainly.com/question/17223528

Nance is riding her bike to a friends house 4 and 1/2 miles away. She’s riding2 and 3/5 miles. How much farther does she need to ride.

Answers

Answer:

1 4/5 miles :)

Step-by-step explanation:

We first need to get them at a common denominator :)

4 1/2 = 4 5/10

2 3/5 = 2 6/10

Now we subtract :)

4 5/10 = 3 14/10

3 14/10 - 2 6/10 = 1 8/10 = 1 4/5

Have an amazing day!!

Please rate and mark brainliest!!

Nance still needs to ride 1 and 9/10 miles to reach her friend's house.

What is speed?

Speed is a measure of how quickly an object moves from one place to another. It is defined as the distance traveled by an object per unit of time, and is often represented by the symbol "v". The formula for speed is:

Speed = Distance/Time

Nance is riding her bike to a friend's house that is 4 and 1/2 miles away. She has already ridden 2 and 3/5 miles. To find out how much farther she needs to ride, we can subtract the distance she has already ridden from the total distance:

Total distance = 4 and 1/2 miles

Distance already ridden = 2 and 3/5 miles

Total distance - Distance already ridden

4 and 1/2 - 2 and 3/5 = 9/2 - 13/5 (we need to get a common denominator)

= (45/10) - (26/10)

= 19/10

Therefore, Nance still needs to ride 1 and 9/10 miles to reach her friend's house.

To know more about speed follow

https://brainly.com/question/29150143

#SPJ7

Given the objective Function: Revenue = 75x+85y and the critical points: (0,0) (180,120) (300,0)

Answers

Answer

(180,120)

Cannot be determined

Step-by-step explanation:

Fax

The critical point with the maximum revenue is at (180,120)

How to determine the critical point with the maximum revenue?

The objective function is given as:

Revenue = 75x+85y

The critical points are (0,0) (180,120) (300,0)

Substitute these points in the objective function.

Revenue = 75(0)+ 85(0) = 0

Revenue = 75(180)+ 85(120) = 23700

Revenue = 75(300)+ 85(0) = 22500

The maximum revenue is 23700.

Hence, the maximum revenue is at point (180,120)

Read more about objective function at:

https://brainly.com/question/16826001

Solve the equation and show your work.


A . 17x + 12 = 54 - 4x

B . 5x - 10 + 2x = 6(x + 1) - x

Answers

Answer:

A. x= 2

B. x= 8

Step-by-step explanation:

Solving an equation refers to finding the value of the variable in the equation.

A. 17x +12= 54 -4x

Bring all x terms to one side, constant to the other:

17x +4x= 54 -12

21x= 42

x= 42 ÷21

x= 2

B. 5x -10 +2x= 6(x +1) -x

7x -10= 6x +6 -x

7x -10= 5x +6

Bring all x terms to one side, constant to the other:

7x -5x= 10 +6

2x= 16

Divide both sides by 2:

x= 16 ÷2

x= 8

Hey ! there

Answer:

Value of x in equation A is 2 .

Value of x in equation B is 8 .

Step-by-step explanation:

In this question we are provided with two equations that are 17x + 12 = 54 - 4x and 5x - 10 + 2x = 6(x + 1) - x . And we are asked to solve the equation that means we have to find the value of x for both the equations .

Solution : -

A)

[tex] \longmapsto \qquad \: 17x + 12 = 54 - 4x[/tex]

Step 1 : Subtracting 12 on both sides :

[tex] \longmapsto \qquad \: 17x + \cancel{ 12} - \cancel{12} = \bold{54} - 4x - \bold{ 12}[/tex]

Simplifying it ,

[tex] \longmapsto \qquad \: 17x = 42 - 4x[/tex]

Step 2 : Adding 4x on both sides :

[tex] \longmapsto \qquad \: 17x + 4x = 42 - \cancel{4x} + \cancel{4x}[/tex]

On further calculations, we get :

[tex] \longmapsto \qquad \: 21x = 42[/tex]

Step 3 : Dividing with 21 on both sides :

[tex] \longmapsto \qquad \: \dfrac{ \cancel{21}x}{ \cancel{21} } = \cancel{ \dfrac{42}{21} }[/tex]

We get :

[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 2}}}} \quad \bigstar[/tex]

Henceforth , value of x is 2 .

Verifying : -

Now , we are verifying our answer by substituting value of x as 2 in the given equation . So ,

17x + 12 = 54 - 4x

17 ( 2 ) + 12 = 54 - 4 ( 2 )

34 + 12 = 54 - 8

46 = 46

L.H.S = R.HS

Hence , Verified .

Therefore , our solution is correct .

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

B)

[tex] \longmapsto \qquad \: 5x - 10 + 2x = 6(x + 1) - x[/tex]

Step 1 : Adding like terms on left side :

[tex] \longmapsto \qquad \: 7x - 10 = 6(x + 1) - x[/tex]

Step 2 : Solving parenthesis on right side by using distributive property . ( Multiplying 6 with x and 1 both ) :

[tex] \longmapsto \qquad \: 7x - 10 = \bold{6x} + 6 - \bold{x}[/tex]

Step 3 : Solving like terms on right side :

[tex] \longmapsto \qquad \: 7x - 10 = 5x + 6[/tex]

Step 4 : Adding 10 on both sides :

[tex] \longmapsto \qquad \: 7x - \cancel{10} + \cancel{ 10} = 5x + 6 + 10[/tex]

Simplifying it ,

[tex] \longmapsto \qquad \: 7x = 5x + 16[/tex]

Step 5 : Subtracting 5x on both sides :

[tex] \longmapsto \qquad \: 7x - 5x = \cancel{5x }+ 16 - \cancel{5x}[/tex]

On further calculations , we get :

[tex] \longmapsto \qquad \: 2x = 16[/tex]

Step 6 : Dividing with 2 on both sides :

[tex] \longmapsto \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{16}{2} }[/tex]

We get :

[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 8}}} } \quad \bigstar[/tex]

Henceforth , value of x is 8 .

Verifying : -

Now , we are verifying our answer by substituting value of x as 8 in the given equation . So ,

5x - 10 + 2x = 6(x + 1) - x

5 ( 8 ) - 10 + 2( 8 ) = 6 ( 8 + 1 ) - 8

40 ( - 10 ) + 16 = 6 ( 9 ) - 8

56 - 10 = 54 - 8

46 = 46

L.H.S = R.H.S

Hence , Verified .

Therefore , our solution is correct.

#Keep Learning

A Lorry travels for 4 hours at a speed of 58km/h . Work out the travel distance

Answers

Answer: The answer is 9.00988 mi/h

Step-by-step explanation: to be simplified it would be 9.0 or 9 miles an hour

PLEASE HELP ASAP FIRST CORRECT ANSWER GETS BRAINLEIST​

Answers

k²= 6²+5²

k²= 36+25

k²= 61

k= V61

k=7.81

how far away is {-4,-6} away from {5,-6} on a coordinate grid

Answers

Answer:

(-4, -6) and (5, -6) are 9 units away from each other on a coordinate grid.

Step-by-step explanation:

Use the distance formula:

[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We are given the points (-4, -6) and (5, -6). Substitute these points into the formula:

[tex]d = \sqrt{(5-(-4))^2+(-6-(-6))^2}[/tex] [tex]d=\sqrt{(5+4)^2+(-6+6)^2}[/tex] [tex]d=\sqrt{(9)^2+(0)^2}[/tex] [tex]d=\sqrt{9^2}[/tex] [tex]d=9[/tex]

The distance between (-4, -6) and (5, -6) on a coordinate plane is 9 units.

Anna and Jack make lemonade. Anna uses 2 cups of lemon juice with 9 cups
of
water. Jack uses 3 cups of lemon juice with 15 cups of water. Whose lemonade
has a stronger lemon taste?

Answers

Answer: Anna

Step-by-step explanation:

        First, I will create proportions.

Anna: 2 lemon : 9 water

Jack: 3 lemon : 15 water

        Next, I will simplify them.

[tex]\frac{2}{9}[/tex] = Already simplified

[tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]

        Now I will give them common denominators and compare. Anna's has a larger lemon to water ratio, so Anna's will have a stronger lemon taste.

[tex]\frac{2}{9}[/tex]  * [tex]\frac{5}{5}[/tex] = [tex]\frac{10}{45}[/tex]

[tex]\frac{1}{5}[/tex] * [tex]\frac{9}{9}[/tex] = [tex]\frac{9}{45}[/tex]

Anna because it had less water

Find the number that makes the ratio equivalent to 9:4.
72:

Answers

The answer would be 72:32
Because 9 x 8= 72 and 4 x 8 is 32

Pls someone do this its on test

Answers

Answer:

they get  a 7/24th piece of cake.

Step-by-step explanation:

if we divide 3 1/2 by 12 we get 7/24

we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.

When it is 8:00 a.m. in damascus, it is 4:00 p.m. in vladivostok. if your plane departs from vladivostok at 10:45 a.m. local time and lands in damascus at 12:30 p.m. local time, how long was the flight? a. 1 hour, 45 minutes b. 5 hours, 45 minutes c. 9 hours, 45 minutes d. 13 hours, 45 minutes

Answers

The length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes

What is local time?

Local time refers to the time of a particular region. The term local refers that whoever is noticing the time and calling it local time means that the person is telling about the time of the place where they're currently staying.

For this case, we're provided that:

When its 8:00 a.m. Damascus it its 4:00 pm in Vladivostok, so the time in Vladivostok is 8 hours ahead of Damascus (or 16 hours behind).

Assuming its 8 hours ahead, as the plane departs from 10:45 am from Vladivostok, and lands in Damascus at 12:30 pm, so 12:30 pm + 8 hours gives 8:30 pm in Vladivostok.

So, the plane departed at 10:45 am of Vladivostok and lands at 8:30 pm in Vladivostok, so it took 9 hours and 45 minutes for his flight to go from Vladivostok to Damascus. (since difference between 8:30 pm and 10:30 am (from 10:30 am to 8:30 pm) is of 9 hours 45 minutes)

Thus, the length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes

Learn more about timezones here:

https://brainly.com/question/4054255

Answer:

When it is 8:00 a.m. in Damascus, it is 4:00 p.m. in Vladivostok. If your plane departs from Vladivostok at 10:45 a.m. local time and lands in Damascus at 12:30 p.m. local time, how long was the flight?

a.   1 hour, 45 minutes

b.   5 hours, 45 minutes

c.   9 hours, 45 minutes<<< CORRECT

d.   13 hours, 45 minutes

Step-by-step explanation:

2022 Edge TOPIC TEST

Other Questions
A triangular garden has it sides 45m,40m and 50m . Then, find the cost of fencing it's boundary at the rate of Rs.60 per meter. Jin wants to apply the concept of form following function to a buffet restaurant. Which of the following characteristics would be mostimportant to her building plan?A.private seating and an intimate environmentB. cutting-edge architecture and luxury dcorC. a lunch break area for waitstaffD. wide aisles to accommodate lines Rewrite the function in the form y=a(1+r)^t calculator 50 POINTS FOR QUESTION 24 thank u!! 5 people are evenly sharing 12 kilograms of apples.How many kilograms of apples should each person get?Choose 1 answer:A. 5/12 kilograms of applesB. 2 10/5 kilograms of applesC. 12/5 kilograms of applesD. 1 2/5 kilograms of apples The dot plot shows the number of magazines bought in a month by 21 people in a office: (check attachment) Is the median or the mean a better center for this data and why?A) Median; because the data is not normally distributed and clusters on the left B) Mean; because the data is not normally distributed and clusters on the left C) Median; because the data is symmetric with an outlier D) Mean; because the data is symmetric with an outlier Thomas calculus early transcendentals 14th edition solutions Unit 6: Radical FunctionsHomework 3: Add/Subtract/Multiply RadicalsShow your work!4. [tex]5\sqrt[3]{32x^3y^4}-3xy^3\sqrt{4y[/tex]5. [tex]15\sqrt{2}*-2\sqrt{20}[/tex]6. [tex]4^{3}\sqrt{-9}*7^3\sqrt{48}[/tex]7. [tex]3\sqrt{18w^7}*10\sqrt{4w^9}[/tex] what expression could be used to solve 2/5 3/4 Please Help Me ASAP. help please!!!!!!!!! Does the "Almighty God" passage in the Preamble violates the principle/policy of Separation of Church and State i.e. the State should not promote any official religion What is the area of parallelogram ABDC?9 cm 212.25 cm 27 cm 212 cm 2 Please help me on MathematicsNonsense answer ReportRude answer Report Correct answer Brainlest Complete answer Brainlest What is the temperature change if 400 J of energy is added to 10 grams of water A) 40 degrees CelsiusB) 1 degrees Celsius C) 100 degrees Celsius D) 10 degrees Celsius Is the process of identifying customers for whom the company will optimize its offering a. searching b. research c. targeting d. deciphering e. customizing Which generalization about democracy is most valid?1.Democratic political systems require a highly industrialized society.2.Democratic governments first evolved in North America.3.Democratic governments prevent their citizens from traveling abroad.44.Democratic governments protect basic civil liberties.Submit Answer What are organic food co-ops? 7. A company invests in a new project and it is expected that after years of running the cumulative project in millions of shillings from the project is given by the function f(t)=10.5t-+- 20 where t represents time in years. The project can run for maximum of nine years required (1) Draw a graph which represent the profit functions (Smarks) Write the equation of the line that passes through the points (2,-4) and (4,2) in slope-intercept form.