f(x) = 2x2 + 12x + 1
Determine the vertex

F(x) = 2x2 + 12x + 1 Determine The Vertex

Answers

Answer 1

Answer:

Step-by-step explanation:

The vertex would be the highest/lowest point so lets factor this first

when we factor we get

2(x^2+6x+8)

2(x+4) (x+2)

Using zero product property we find the 2 x values and x intercepts are

-4 and -2

the middle point of these points is -3

Substitute -3 for x and solve

2(-3+4) (-3+2)

2 * 1 *  -1

2*-1

-2

(-3,-2) is the vertex


Related Questions

Gerard adds weight to the end of the hanging spring
shown.
The spring stretches to length of p centimeters. Gerard
removes some weight and the spring moves up by a
centimeters.

Answers

Answer:

p-(-Q)

Step-by-step explanation:

Because the thing goes down and i got it correct for that answer your welcome

Solve for x in the following equations: -8x -10y = -6 when y = 3

A) -3
B) -6
C) 4
D) -2

Answers

Answer:

x = - 3

Step-by-step explanation:

- 8x - 10(3) = - 6

- 8x - 30 = - 6

- 8x - 30 + 30 = - 6 + 30

- 8x = 24

- 8x ÷ - 8 = 24 ÷ - 8

x = - 3

Answer:

the answer is A -3

Step-by-step explanation:

-8x-10y=-6 when y=3

-8x-10(3)=-6

-8x-30=-6

-8x=-6+30

-8x=24

-8x÷8=24÷8

x=-3

What is the perimeter of the triangle

Answers

Answer:

it's 65 because if u count the inside of the boxes u get 65

Answer:

34

Step-by-step explanation:

to get the perimeter you add the side-A with Base-B and Side-C.

The base at the bottom is 10 and the two symmetrical sides is 12.

P= a + b + c

34= 12 + 10 + 12

Evaluate the expression: (− 8)(15)(− 1/2)

Answers

Answer:  60

Step-by-step explanation:

Answer:60

Step-by-step explanation:

((−8)(15) (-1/2) =60

a circle has an area of 100 square cm what is the radius and circumference of the circle ​

Answers

Answer:

Radius = 10 cm

Circumference = 20*pi cm

Step-by-step explanation:

Area of a circle = pi * r^2

100 = r^2

10 = r

Circumference = 2*pi*r

2*pi*10

20*pi

I’m having a hard time

Answers

the second and third shape are rectangular shapes.

Answer:

Its the third and fourth answer

1. A rocket is launched from the top of a 200-foot tall cliff with an initial velocity of 120 feet per second.
The height, h(t), of the rocket at time i seconds after it was launched can be modeled by the equation
h(t) = -16t^2 120t+ 200

a. What was the height of the rocket after 1 second?

b. What is the maximum height of the rocket?

c. How long did it take the rocket to reach its maximum height?

d. How long does it take the rocket to hit the ground?

Answers

Answer:

a. 304 feet

b. 425 feet

c. 3.75 seconds

d. It will take the rocket approximately 8.9 seconds to hit the ground

Step-by-step explanation:

1. The given data of the question including the question relationships are listed as follows;

The height of the cliff from which the rocket was launched = 200-ft.

The initial velocity of the rocket, u = 120 feet per second

The equation that models the height of the rocket with respect to time 't' is h(t) = -16·t² + 120·t + 200

a. The height of the rocket after 1 second is given by plugging in t = 1 in the equation that models the height as follows;

h(1) = -16 × (1)² + 120 × (1) + 200 = 304

The height of the rocket after 1 second, h(1) = 304 feet

b. The maximum height can be found by finding the value of the maximum point of the curve of the equation for the height as follows;

At the maximum point, h'(t) = d(-16·t² + 120·t + 200)/dt = 0

∴ d(-16·t² + 120·t + 200)/dt = -32·t + 120 = 0

t = 120/32 = 3.75

At the maximum point, t = 3.75 seconds

The maximum height can also be found by finding the vertex of the parabola formed by the height equation as follows;

At the vertex (the maximum point), t = -b/(2·a) = -120/(2 × (-16)) = 3.75

At the vertex (the maximum point), t = 3.75

The height at the maximum point = h(3.75) = -16 × (3.75)² + 120 × (3.75) + 200 = 425

The height at the maximum point, h(3.75) = 425 feet

c. The time it will take the rocket to reach the maximum point is given by the value of 't' at the maximum point, the vertex, which is t = -b/(2·a) = -120/(2 × (-16)) = 3.75

Therefore;

The time it takes the rocket to reach the maximum point, [tex]t_{max}[/tex] = 3.75 seconds

d. The time it takes the rocket to hit the ground (height h(t)) is given by finding the values of 't' that satisfy the height equation where h(t) = 0 as follows;

At the ground level, h(t) = 0 = -16·t² + 120·t + 200

Therefore, we get;

-16·t² + 120·t + 200 =

t = (-120 ± √(120² - 4×(-16) × 200))/(2 × (-16))

t ≈ 8.9 or t ≈ -1.4

Therefore, the time it takes the rocket to hit the ground is given by the natural number, t ≈ 8.9 seconds.

I need help with this one

Answers

Answer:

the pic wont load

Step-by-step explanation:  try and upload again

good morning!! can someone help?!:)

Answers

Answer:

Option A. {-4, 2, 4}

Step-by-step explanation:

There is no other options because none of them are bigger than -5 except Option A.

A gggggggggggggggggggggggg

The graph of y=f(x) is shown below.which point could be used to find f(3).
-A
-B
-C
-D

Answers

Answer:

aa is the repuestos yes ok

Answer:

A

Step-by-step explanation:


Valeria already owns 147 necklaces, and additional necklaces are priced at 2 for a dollar. How
much money does Valeria need to spend on new necklaces in order to own a total of 477
necklaces? Write and solve an equation to find the answer

Answers

Answer:

$660

Step-by-step explanation:

Step 1

The number of extra necklaces that valeria needs is calculated as:

477 necklaces - 147 necklaces

= 330 necklaces

Step 2

We are told that

1 extra necklace cost $2

Hence

1 necklace = $2

330 necklaces = x

Cross Multiply

x = 330 × $2

x = $660

Therefore, Valeria need to spend and additional $660

What is m∠1? help me please

Answers

Answer:

m∠1=111°

Step-by-step explanation:

Since angle 1 is an exterior angle on a straight line, it is the sum of the two outer angles of the triangle.

64+47=111.

You just have to add the numbers.
So 64+57=111 so 1 = 111

what is the area of a square of 12 and four semicircles. Rounded to the nearest tenths place

Answers

Answer:

3.46

Step-by-step explanation:

plz can i get brainliest:)

A jar contains 20 marbles: 6 are brown, 2 are gray, 5 are black, and 7 are white. A black marble is removed and replaced before a gray one is removed.

Answers

Answer:

Yes

Step-by-step explanation:

What is the question we need to answer? We got the information

can someone pls help me with this question

Answers

Answer:

6

Step-by-step explanation:

The x intercept is the value of x when y equals zero. The table tells us that when x goes up by one, y goes down by two.

Knowing this, all we have to do is increase x by 1 and decrease y by two until y is zero, and we can look and see what x is.

I also made a visual in the file below if this is confusing

You and your family go out for dinner. The bill is $146. There is 8.25% tax. Find the total price you will pay for dinner including tax.

Answers

Answer:

158.45

Step-by-step explanation:

Answer:

gYou and your family go out for dinner.  The bill is $146.  There is 8.25% tax.  Find the total price you will pay for dinner including tax.

Step-by-step explanation:vYou and your family go out for dinner.  The bill is $146.  There is 8.25% tax.  Find the total price you will pay for dinner including tax.

I need some help on this question

Answers

Answer:

Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end.

Step-by-step explanation:

So as to say that irrational numbers can't be a squared root because of there decimals.

Jayden invests money in an account paying a simple interest of 7.6% per year. If he
invests $100 and no morley will be added or removed from the investment, how
much will he have in one year, in dollars and cents?

Answers

Answer:

$107.60

Step-by-step explanation:

100 [1 + (0.076 * 1)] = 107.6

= $107.60

Answer this question to get marked as barinliest!!!!

Answers

Answer:

60 cubic inches

Step-by-step explanation:

first find the area of the right triangle then multiply by 10 in.

=> (3 × 4 ÷ 2) × 10

=> 60 in.³

It would be 60 inches

Describe the graph of this inequality: 2x + 3 > 9

Answers

Answer:

Open circle at 3 going to the right.

Step-by-step explanation:

Let’s look at this.

first, let’s simplify the inequality. 2x +3-3>9-3

2x>6

x>3

since this is just a greater than or less than, it will be an open circle.

now that we have established that, we can see that x is BIGGER than 3. In that case, it will be an open circle at 3 going to the right.

what is the value of p if 2p = 7

Answers

You can find the value of p by dividing both sides of the equation by 2. Resulting in 3.5 as the answer

Answer:

p = 5

Step-by-step explanation:

think of it like this:

2 + p = 7

They just want you to find what number can replace the letter so the equation makes sense.  

A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8%? Round your answer to four decimal places.

Answers

Answer:

Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.

Step-by-step explanation:

For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as

[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}[/tex]

Here

[tex]\hat{p}[/tex] is the sample measure which is 8% or 0.08p is the population measure which is 6% or 0.06n is the number of samples which is 529

So the Z score is given as

[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955[/tex]

For this the score, the value of probability is calculated from the table as below:

[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z<-1.6955)[/tex]

Here value of p(Z<-1.6955) is given as 0.0455

[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z<-1.6955)\\P(\hat{p}>0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545[/tex]

 

What is the probability that you will get “heads” no more than once out of 3 flips?
P(0 successes) + P(1 success) =

Answers

Given:

Three coins are tossed.

To find:

The probability that you will get “heads” no more than once out of 3 flips.

Solution:

If three coins are tossed then the sample space is:

[tex]S=\{HHH,HTH,HHT,HTT,THH,TTH,THT,TTT\}[/tex]

Total possible outcomes = 8

Number of 0 successes means 0 heads in 3 flips, i.e., TTT.

Number of 1 successes means exactly 1 heads in 3 flips, i.e., HTT, THT, TTH.

Now,

[tex]P(0\text{ success})=\dfrac{1}{8}[/tex]

[tex]P(1\text{ success})=\dfrac{3}{8}[/tex]

And, their sum is:

[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{1}{8}+\dfrac{3}{8}[/tex]

[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{4}{8}[/tex]

[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{1}{2}[/tex]

Therefore, the probability that you will get “heads” no more than once out of 3 flips is [tex]\dfrac{1}{2}[/tex].

If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple
interest will she have to pay on the loan?

A.$2,750.00
B.$19,250.00
C.$24,750.00
D.$275,000.00

Answers

It is out of A or D but I want to go with A

HELP ASP
A cylindrical soap dispenser has a
diameter of 3 inches and a height of 10
inches.
3 in.
10 in.
Which measurement is closest to the
total surface area of the dispenser in
square inches? (8.1A, 8.1B, 8.1C, 8.1E,
8.1F)
F 203 in.
G 108 in.
H 245 in 2
J
122 in.

Answers

Answer:

you can do this have a great day

Step-by-step explanation:

Help I need to find measure of m<E asap.​

Answers

Answer: ∠E=55°

Step-by-step explanation:

Concept

- In all similar triangles, their corresponding angle will be the same value

- Triangle angle sum theorem: the three interior angles of a triangle add up to 180°

Given

- Two pairs of corresponding angles

- Two similar triangles

Solve

(6x-15)+4x=(5x-1)+4x ⇔ Add the angles up

6x-15=5x-1 ⇔ Subtract 4x on both sides

x-15=-1 ⇔ Substract 5x on both sides

x=14 ⇔ Add 15 on both sides

 180-4x-(5x-1) ⇔ Find ∠E by subtracting the other two angles from 180

=180-4(14)-([5(14)-1]

=180-56-69

=55°

Hope this helps!! :)

Please let me know if you have any questions

A plane is traveling at a constant rate described by d = 525t where d is the distance and t is the time. How long will it take the plane to travel 3150 miles?

Answers

Answer:

6 hours

Step-by-step explanation:

Given: A plane is traveling at a constant rate described by d = 525t

where d is the distance and t is the time

We know that ratio  of distance upon time  = d/t = 525 miles per hour

Therefore, time taken to travel 3150 miles  = 3150/525 = 6 hours


choose the inequality that represents the following graph

A. x < 2

B. x ≤ 2

C. x > 2

D. x ≥ 2​

Answers

Answer:

b po ang tamang sagot

Step-by-step explanation:

i hope its help

Answer:

X > 2

Step-by-step explanation:

Value of x is greater than 2 and the circle is not filled. So.  x > 2

The probability???????????????

Answers

Answer:12/87

Step-by-step explanation: You first have to add up all of the birds present. Then you have to see how many of the type you are looking for is there. The number of the type of bird goes on top of the number of total birds.

Find the equation to the line below .

Answers

Answer:

y = 4x + 1

Step-by-step explanation:

y = mx + b

The line goes thru (0, 1) and (1, 5)

The slope = m = (5 - 1)/ 1 - 0) = 4/1 = 4

The y-intercept is (0, 1), so b = 1

y = 4x + 1 is the equation of the line

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