What is the vertex of the graph of the function f(x) = x^2 + 8x − 2 ?
a (−4, 18)
b (0, -2)
c (-8, -2)
d (−4, −18)

Answers

Answer 1

Answer:

The vertex is at (-4, -18)  (Fourth answer choice)

Step-by-step explanation:

The standard vertex equation of a parabola is f(x) = (x - h)^2 + k.

"Completing the square" is one of the faster and better ways of determining the vertex:

f(x) = x^2 + 8x - 2  =>  f(x) = x^2 + 8x + 16 - 16 - 2  =>  (x + 4)^2 - 18.  Comparing this to (x - h)^2 + k, we see that h = -4 and k = -18.  The vertex is at (-4, -18).


Related Questions

Can anyone help explain this to me lol-

-Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. ​
7.4 cm, 8.1 cm, 9.8 cm​

A.unique triangle
B.many different triangles
C.no triangles
Thanks to anyone who helps-

Answers

Answer:

Since you are given ALL three sides, then you will ALWAYS be able to make ONLY unique triangles.   ^‿^

There are 21 cards numbered 1 to 21.if you pick a card what is the probability that choose an odd number or a two?

1/2
4/7
11/21
44/147

Answers

Answer:

4/7

Step-by-step explanation:

There are 11 odd numbers less than or equal to 21.

There is 1 two.

11 + 1 = 12 ways

12 outcomes/ 21 total outcomes =

4/7

Determine the values of the variables in isosceles trapezoid CHLE below.


Enter numbers only, do not enter units.

Answers

Answer:

The values of variables x and m are 11 and 17

Step-by-step explanation:

The question has missing details as the diagram of the trapezoid isn't attached.

(See attachment).

Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)

And

The angles at the top are also equal

8m = 11x + 15

At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..

The sum of interior= 360

So,

11x + 15 + 8m + 4x + 4x = 360

Collect like terms

11x + 4x + 4x + 8m = 360 - 15

19x + 8m = 345

Substitute 11x + 15 for 8m

19x + 11x + 15 = 345

30x + 15 = 345

30x = 345 - 15

30x = 330

Divide through by 30

30x/30 = 330/30

x = 11

Recall that 8m = 11x + 15;

8m = 11(11) + 15

8m = 121 + 15

8m = 136

Divide through by 8

8m/8 = 136/8

m = 17

Hence, the values of variables x and m are 11 and 17

Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same

Answers

Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.

Step-by-step explanation:

Club A can be represented by the equation    y = 23x + 7  where x is the number of months  and y is the cost.

Club B can be represented by the equation   y = 16x + 35  where x is the number of months and y is the cost.

23x + 7 = 16x + 35     set the equation equal each other to solve for x

        -7               -7

23x  = 16x + 28

-16x     -16x

7x= 28

x= 4   now we know the value of  x is 4 so we will put it into the equation and solve for y

y= 16(4) + 35

y= 99

Each of Mrs. Moore's students uses a certain number of pencils per week
of school. There are 22 students in Mrs. Moore's class. If there are 36
weeks of school and Mrs. Moore's students use 3168 pencils in a school
year, how many pencils does each student use per week?

Answers

Answer:

4

Step-by-step explanation:

3,186/22= 144

144/36= 4

Solve the quadratic equation.
2x2 − 11x − 21 = 0
A) −
3
2
and 7
B)
3
2
and −7
C) −
2
3
and
1
7
D)
2
3
and −
1
7

Answers

Answer:

A) -3/2 and 7

Step-by-step explanation:

this equation factors to (2x+3)(x-7)

the goal is to solve for 0

if 2x+3=0 then x=-3/2

if x-7=0 then x=7

PLEASE HELP WILL MARK BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Question 3 (5 points)


Look at the frequency table. Using the Addition Rule P(A and B) = P(A) + P(B) – P(A and B), what is the probability someone being a man said dog? P(dog|man)

Answers

Answer:

28/50

Step-by-step explanation:

You look at the total amount of men there are, (50)

then amount of dog in the column of men, (28)

So (dog|man) = 28/50

ask questions if u need anything else

write an equation that represent the line. ASAP !!!!!! 40 POINTS + BRAINLIEST

Answers

Answer:

y = (3/2)x + 3

Step-by-step explanation:

slope is rise over run so 3 up and, 2 right

y-intercept is at (3,0)

PLEASE!!!
A survey asks a random sample of 2500 adults in Ohio if they support an increase in the state sales tax from 5.25% to 5.50%, with the additional revenue going to education. Let X denote the number in the sample that say they support the increase. Suppose that 30% of all adults in Ohio support the increase.

9. The standard deviation of X is

a. 22.91.

b. 27.39.

c. 5255.

d. 750.


10. The probability that X is at least 800 is

a. less than 0.0001.

b. about 0.015.

c. 0.025.

d. 0.05.

Answers

Answer:

Step-by-step explanation:

a) Total number of people surveyed, n = 2500

Let X denote the number in the sample that say they support the increase. If 30% of all adults in Ohio support the increase, it means that the percentage of all adults in Ohio that did not support the increase is

100 - 30 = 70%

This is a binomial probability because there are only two possible outcomes. Therefore,

Probability of success, p = 30/100 = 0.3

Probability of failure, q = 1 - p = 1 - 0.3

q = 0.7

Standard deviation = √npq

Standard deviation = √(2500 × 0.3 × 0.7) = 22.91

b) The probability that x is at least 800 is expressed as

P(x ≥ 800)

We would determine the probability by using the binomial probability calculator. Therefore,

P(x ≥ 800) = 0.01577

b. about 0.015.

30 points
In two or more complete sentences, discuss the advantages and disadvantages of investing in a CD versus investing in a basic savings account.

Answers

A savings account helps you save for retirement and college while a CD isn’t typically used for that. A savings account is much more beneficial because it is also an emergency fund when you need it.

caroline bought 6 pieces of gold ribbon. each piece was 3/5 of a yard long. How many yards of ribbon did she buy in all?

Answers

Answer:

= 3 3/5 yards

Step-by-step explanation:

If 1 piece = 3/5 yard

What about 6 pieces = ?

= (6 x 3/5) ÷ 1

= 18/5 ÷ 1

= 18/5

= 3 3/5 yards

A cube has an edge measuring 6 cm. Find its volume.

Answers

Answer:

216

Step-by-step explanation:

Hope this helps.

Answer:

Side of cube = 6 cm

Volume = side ^3 = 6^3 = 216 cm^2

Find the value of x in the figure. Enter the number ONLY!

Answers

Answer:

69

Step-by-step explanation:

What is the true solution to the logarithmic equation?
log2[log2 (4x)) - 1
x=-4
X-0
X-2
X=4

Answers

Answer:

x=4

Step-by-step explanation:

Answer:d

Step-by-step explanation:

BRAINLIEST MARKED!! PLSS HELP ASAPP!! Plz show all work!!!

Answers

Answer:

551.7

Step-by-step explanation:

it is the square + the circle

15*25+πr²

375+π(15/2)²

375+π225/4

375+176.625=551.625

Answer:

E) 551.7 ft Squared

Step-by-step explanation:

First find the area of the rectangle. 15 x 25 = 375. Then remove the rectangle so your left with a circle with a diameter of 15. Find the area of the circle.            Pi x R squared. Pi x 7.5 squared = 176.7 . Then add the areas together.                         375 + 176.7 = 551.7

If f(x) = 5x^3 and g(x) = x+1, find (f•g)(x).

Answers

Answer:

(fg)(x) = 5x^4 + 5x^3

Step-by-step explanation:

(fg)(x) = (5x^3)(x+1)

(fg)(x) = 5x^4 + 5x^3

15)
Which expression is a PRODUCT?
A)
8(6+ 3)

B)
8
(6 + 3)

5(2) + 2(6 x 3)

D)
5(2 + 3) - 4(8 + 1)

Answers

Step-by-step explanation:

the answer is

A,72

B,739

D,-11

PLZ HELP IM TIMED!!!
Which fraction is equivalent to -(7/8)?
A. -7/8
B.-(-7/8)
C.-(7/-8)
D.-7/-8

Answers

Answer:

It should be A

Step-by-step explanation:

multiply the - by 7/8 to get -7/8

Answer:A

Step-by-step explanation:

HELP


What is the longest line segment that can be drawn in a right rectangular prism that is 15cm long, 8 cm wide, and 7 cm talk

Answers

Answer:

=18.38cm

Step-by-step explanation:

The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment .

Look at the attached picture. The longest segment we can draw is AG (or any of its equivalent: BH, CE, DF). Let's focus on AG for example.

We can think of AG as the hypotenuse of triangle ACG. So, we need AC first. AC is itself the hypotenuse of triangle ABC,

so we have,

[tex]AC^2 = AB^2+BC^2=8^2+7^2=113[/tex]

Now we can resume where we stopped with triangle AGC, and we have

[tex]AG=\sqrt{AC^2+CG^2}=\sqrt{113+225}=\sqrt{338}[/tex]

=18.38cm

Read the lines from Langston Hughes's poem ", Too, Sing America."
Tomorrow,
I'll be at the table
When company comes.
The lines promoted social change in the United States in the first half of the twentieth century because they spoke about
Ob
equal rights for African Americans.
European Americans' views of African Americans.
parties hosted by European Americans.
African Americans working as servants.
Od

Answers

Maybe summarize next time!

Answer:

Answer: D) equal rights for African Americans

Step-by-step explanation:

What is “rate of change”? Hint: it’s NOT “y=mx+b.” What term (begins with an S!) is it very closely related to?

Answers

Answer:

Standard Form

Step-by-step explanation:

Answer:

Rate of change refers to the change in one variable (i.e. independent variable) as a result of a change in another (i.e. dependant variable). A very common example is speed as it refers to the change in distance per a change in time. Graphically representing the relationship between two variables, the rate of change will be the gradient or slope of the graph.

I'm in quite in a bit of a pickle... so, please? and I never forget to mark brainiest

Answers

The correct answer is a translation.

A rotation would change the direction, a reflection would change the direction, and a dilation would change the size.

I hope this helps :)

Answer:

translation

Step-by-step explanation:

simplify
x+20−16
20+x−16
x+16−20
16+x−20
20−(x+16)
20−(x−16)
x−20−16
20−x−16

Answers

Answer:

x+4

4+x

x-4

-4+x

4-x

36-x

x-36

4-x

Step-by-step explanation:

find the missing angle in the triangle

Answers

Answer:

60

Step-by-step explanation:

Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!

Answer:

60

Step-by-step explanation:

If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.

what is the answer to -12= -2x-4x

Answers

Answer:

x = 2

Step-by-step explanation:

-12 = -2x - 4x

-12 = - 6x

x = -12/(-6) = 2

Answer:

Step-by-step explanation:

(50 points) What is the volume of the cone in terms of π?

A) 8π in3 B) 16π in3 C) 24π in3 D) 32π in3

Answers

Answer

is 8pi

it doesnt want you to actually times pi but leave pi alone

Step-by-step explanation:

i took the test got it wrong at first and reviewed it it said 8pi

The Volume of cone in terms of π is: 8π in³.

What is the Volume of a Cone?

Volume of any cone with radius, r, and height, h, is determined using the formula: V = 1/3πr²h.

Given:

Radius (r) = 2 in.Height (h) = 6 in.

Thus:

Volume of cone = 1/3(π × 2² × 6)

Volume of cone = 1/3(24π)

Volume of cone = 8π in³.

Learn more about volume of cone on:

https://brainly.com/question/13677400

From the moment the first car started how many hours will it take the second car to catch up to the first

Answers

Answer:

HELP

Step-by-step explanation:

What is the y-coordinate of the solution of the system of equations? {y=3x−26 2x−y=19 Enter your answer in the box.

Answers

Answer:

The y-coordinate of the solution is -5.

Step-by-step explanation:

I graphed the equations on the graph below to find the solution of the system.

If this answer is correct, please make me Brainliest!

How many 9’s are there between 1 and a 100?

Answers

Answer:

20

Step-by-step explanation:

There’s 11 “9’s” between 2 and 100!

what is the quotient of the equation Below in simplest form? State any restrictions on the variable

Answers

Answer:

A

Step-by-step explanation:

Factor the numerators/ denominators where possible, that is

[tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] ÷ [tex]\frac{(x-5)(x+3)}{(x+4)(x+1)}[/tex]

Leave the first fraction, change division to multiplication and turn the second fraction upside down.

= [tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] × [tex]\frac{(x+4)(x+1)}{(x-5)(x+3)}[/tex]

Cancel the factors (x - 5) and (x + 4) from numerator/denominator

= [tex]\frac{-1}{(x-1)}[/tex] × [tex]\frac{(x+1)}{(x+3)}[/tex]

= [tex]\frac{-(x+1)}{(x-1)(x+3)}[/tex] , x ≠ 1, x ≠ - 3

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