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

What is the value of the expression 6c^2 - 5d + 8, when c=5 and d=4?

Answers

Answer:

138

Step-by-step explanation:

6c^2- 5d +8

6(5)^2- 5(4) + 8

6(25) - 5(4) + 8

150 - 5(4) +8

150 - 20 + 8

130 + 8

138

Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 36 pieces. They find a sample mean of 55% with a standard deviation of 4%. The correct value of t* to construct a 90% confidence interval for the true mean % cacao is ________.

Answers

Answer:

t-value = 1.690

Step-by-step explanation:

We are given;

Sample size; n = 36

DF = n - 1

DF = 36 - 1

DF = 35

Confidence level = 90%

However, from the first table I attached, we see that the critical significance level of a 90% Confidence level is 0.05

Thus, in the second table, looking at a DF of 35 and significance level of 0.05, we have a critical t-value = 1.690

Harvey owes $32,850 in student loans. He has $1,380 in his bank account and a car worth $6,850.-
still owes $2,080 on the car. He also has $4,300 worth of investment funds and $1,040 of credit car
debt. What is his net worth?
A-532,040
B -$23,440
C $33,660
D$42,260

Answers

Answer:

b

Step-by-step explanation:

he will be negatives because he has very little money

Using the graph as your guide, complete the following statement.
The discriminant of the function is

Answers

Answer:

Positive

Step-by-step explanation:

Both of the roots are real numbers so that means the discrimnat is greater than zero or positive.

Triangle PRT - status, TS - its higher. Based on the data in the drawing, calculate the length of the altitude drawn from the vertex R to the extreme PT.

Answers

Answer:

16 cm

Step-by-step explanation:

We're to find the length of RT.

Apply the leg rule which is given as,

Hypotenuse/leg = leg/part

Hypotenuse = PR = 7.2 + 12.8 = 20 cm

Leg = RT

Part = 12.8 cm

Plug in the values

20/RT = RT/12.8

Cross multiply

RT*RT = 20*12.8

RT² = 256

RT = √256

RT = 16 cm

which equation represents a line passing through the points 4,0 and 0,3

3x + 4y = 12
4x + 3y = 12
4x - 3y = 12
3x - 4y = 12

show work plz

Answers

3x + 4y =12 will be the answer

can someone help me with this please

Answers

Answer:

i have done this so its 2

Step-by-step explanation:

the answer to this is 4 !!

PLEASE HELP! THIS IS DUE IN 10 MINS (I WILL GIVE BRAINLIEST)
SHOW UR WORK PLEASE

Answers

Answer:

35

Step-by-step explanation:

if chiefs lost by 25, packers have 25 more points.

packers - 25 = chiefs

equation: packers - 25 = 10

packers = 10 + 25

packers = 35 points

Answer:

35 pts

Step-by-step explanation:

10+25=35

10+10=20

+15

35

lol

Solve for z. 7z+ 4 – 9z = 8 z = [?]​

Answers

Answer:

z = -2

Step-by-step explanation:

7z + 4 - 9z = 8 (The first step is to combine like terms, so 7z -9z = -2z)

-2z + 4 = 8 (Subtract 4 on each side)

-2z = 4 (Divide each side by -2)

z = -2

You can plug -2 back in to check, and you get:

7(-2) + 4 -9(-2) = 8

-14 + 4 + 18 = 8

8 = 8

Hopefully, this helped. Good luck!

Answer:

z=-2

Step-by-step explanation:

7z+4-9z=8

7z-9z=8-4

-2z=4 divide by-2

z=-2

Eva buys online tickets to a play for her family. Each ticket costs $45.00 and there is a fee of $17.99

Answers

Answer:

$62.99

Step-by-step explanation:

Given data

Cost of ticket= $45.00

Fee= $17.99

Hence the expected amount she is to pay, that is the total cost of the ticket is

=45.00+17.99

=$62.99

A (5, 3), B (2, 1), and C (-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are the coordinates of the image?

1. A'(5, -3), B'(2, -1), C'(-2, -4)
2. A'(-5, 3), B'(-2, 1), C'(-2, 4)
3. A'(-5, 3), B'(-2, 1), C'(2, 4)
4. A'(-5, -3), B'(-2, -1), C'(2, -4)

Answers

Answer:

1 is the answer

Step-by-step explanation:

When coordinates are reflected over the x axis, the x coordinates stay the same but the y coordinates becomes either negative, if they were positive, or positive, if they had orginally been negative.

If this doesn't make sense i'l try to rephrase it, hope it helps though :)

*WILL MARK BRAINLIEST*

given the inequality 4x-y<=k-6, there is a minimum value of k in order for the point (5,0) to be part of a solution. what is the minimum value?

Answers

Answer:

26

Step-by-step explanation:

since the question asks for a value of k where the point (5, 0) is part of a solution, plug 5 into the x value and 0 into the y value:

4x-y<=k-6

4(5)-0<=k-6

20-0<=k-6

20<=k-6

26<=k

In this case, k can be equal to any number that is greater than or equal to 26 for the point (5, 0) to be a solution, but the question asks for the minimum value of k, meaning the smallest value. since the question asks for the smallest value, the answer we're looking for is 26.

lmk if this is wrong, hope it helps!!

A car is on a Ferris wheel with a radius of 20 feet. How far does the car travel over an angle of 2π3 radians? The car travels the distance of feet.

Answers

Answer: 21 feet, I think the first guy was wrong

Find PQ!!!!!!!!!!!!!!!!!!!!!!!

Answers

I’m pretty sure PQ is 5x + 16

What is m∠X to the nearest degree
A. 44
B. 36
C. 46
D. 34

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

A. 44

Hope it helps!

Mark me brainliest pls.....

Follow me! :)

In 9.8326, in which place is the 6?

Answers

Answer:

the ten thousands place

Step-by-step explanation:

uh no explanation too straight forward.

Answer:

the ten-thousandths place

Step-by-step explanation:

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, How many more hot dogs would Winston needto sell to earn a total of $175.00 ?

Answers

Answer:

Winston would need to sell 14 more hot dogs to earn a total $175

Step-by-step explanation:

Anaijah is starting her new clothing line. She sells t-shirts for $10 each and hoodies for $25 each. If on Saturday Anaijah sells 9 items and makes $120. Write a system of equations that can be used to determine how many of each item did Anaijah sell. Make sure to define all variables

Answers

Answer:

9x = 120

x= [tex]\frac{43}{3}[/tex]

Step-by-step explanation:

find the area of the figure drawn on the coordinate plane below​

Answers

Answer:

-24

Step-by-step explanation:

Please help me with this​

Answers

Answer:

Its B

Step-by-step explanation:

I'll mark you brainliest if you help me with my previous math questions.​

Answers

Answer:

ok

Step-by-step explanation:

fruits are packed in boxes each weighing 2 kg 500 g .how many such boxes can be n loaded kn a van.which can not carry beyond 250kg?​

Answers

Answer:

18

Step-by-step explanation:

Just divided

Please Brainliest me

I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T continue


It's Homework #1: Odds

Answers

Answer:

1/2 ; 7/10

Step-by-step explanation:

1) we have ten letters A, E, I, O, U are five letters, so the odd can be expressed with the fraction 5/10, that can be simplified in 1/2

2) we have 7 non black parts in a total of ten parts, so the odd is 7/10  

3. On Wednesday, a sudden snowfall delayed school busses and caused
12 of Ms. Jackson's 25 students to arrive late to class. What percent of
students made it on time? *

Answers

60% of students made it on time

Find the area. Round to the nearest tenth.

Answers

Answer:

40m^2

Step-by-step explanation:

Hope it helps!!:)

What is the area of KDL to the nearest tenth of a square inch? Use special right triangles to help find the height. Show
your work

Answers

Answer:

8

Step-by-step explanation:

This is a 45-45 traingle which mean that the two sides that aren't the hyptonouse are equal (because their angles are equal)

We will let x equal the length of one of the sides

we have

x²+x²=(4√2)²

2x²=32

x²=16

x=4

this means that the length of the two missing sides are 4

Now using the area of a traingle formula we can solve for the area

A=.5*b*h

.5*4*4=8

.5*4*4

A scientist is working with 16 meters of gold wire how long is the wire in millimeters

Answers

Answer:

16000 milometers

Step-by-step explanation:

pls help me my homework is due in a couple hours

Answers

Answer:

I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25

plz help asap
click it to make it big

Answers

Answer:

d no association

Step-by-step explanation:

ASAP i need help!!
A movie-theater employee notes an inverse relationship between the theater's popcorn sales
and its nacho sales. On a given night, the theater makes 990 from popcorn sales and
$1,892 from nacho sales. If on the next night the employees sell $1,452 of popcorn, how
much is earned from nachos?

Answers

Answer:

Nachos sale on next night = $ 2,776/-

Step-by-step explanation:

Data:-

On a given night theatre makes:

Popcorn sale = $990/-

Nacho Sales = $1,892/-

Next night Theatre makes:

Popcorn sale = $1,452/-

Nacho Sales = x (Let Assume)

Solution:

Given Night = Next Night

Popcorn sale/Nacho sale = Popcorn sale/Nacho sale

990 / 1,892 = 1,452 / x

0.523 = 1,452 / x

x = 1452 / 0.523

x = $2,776/-

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