where is the vertex located at?

Where Is The Vertex Located At?

Answers

Answer 1

Answer:

The vertex of [tex]f(x) = |x-3| + 6[/tex] is [tex](x,y) = (3, 6)[/tex].

Step-by-step explanation:

The vertex of the absolute value function is the point where [tex]|x-3| = 0[/tex]. Hence, the coordinates of the vertex are, respectively:

[tex]x-3 = 0[/tex]

[tex]x = 3[/tex]

[tex]y = |x-3| + 6[/tex]

[tex]y = |3-3|+6[/tex]

[tex]y = |0|+6[/tex]

[tex]y = 0 + 6[/tex]

[tex]y = 6[/tex]

The vertex of [tex]f(x) = |x-3| + 6[/tex] is [tex](x,y) = (3, 6)[/tex].


Related Questions

HELP PLEASE WILL MARL BRAINLIEST

Answers

Answer:

b, a, c

Step-by-step explanation:

In a triangle, the largest angle is opposite the longest side. The smallest angle is opposite the shortest side.

This triangle has 3 given side lengths: 3 ft, 5 ft, and 7 ft.

The largest angle is opposite the longest side. That is angle b.

The smallest angle is opposite the shortest side. That is angle c.

The order from largest to smallest angle is

b, a, c

The area of a rectangle is represented by 12n2 - 19n - 21. If the width is 3n - 7, which expression represents the perimeter?
A. 7n - 4
B. 7n+4
C. 14n -8
D. 14n +8

Answers

Answer:

C 14n - 8

Step-by-step explanation:

rectangle area = length×width = 12n²-19n-21

width = 3n-7

what do we need to multiply with width to get the full area expression ?

think : what do we need to multiply with 3n to get 12n² (4n)?

and what to multiply with -7 to get -21 (3)?

=> length = 4n+3

perimeter is 2×length + 2×width

p = 2(3n-7) + 2(4n+3) = 6n-14+8n+6 = 14n-8

Factor.
x*2+11x+28
please give me the answer

Answers

Answer:

(x+4)(x+11)

Step-by-step explanation:

x^2+11x+28

What two numbers multiply to 28 and add to 11

4*7 =28

4+11

(x+4)(x+11)

Answer:

(x + 4)(x + 11)

I agree with wegner

bye

PLEASE HELP I WILL GIVE BRAINLIEST AND 50 POINTS!!!
The following function represents the value of a truck, in dollars, after x years:

f(x) = 29,000(0.88)x

What does 0.88 represent?

The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%

Answers

Answer:

The decrease in the value of the truck, which is 12%

Step-by-step explanation:

f(x) = 29,000(0.88)^x

This is an exponential function of the form

y = ab^x

a is the initial value

b is the growth(decay) rate

x is the time

Since b is less than 1, we know it is decay

To find the rate

1-b = rate

1-.88 = .12

The decay rate is .12*100% = 12 %

Answer:

its A:The decrease in the value of the truck, which is 12%

Step-by-step explanation:

i got this correct

A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 6 milliliters (ml) and a standard deviation of 0.4 ml. Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
a. 4.464 ml.
b. 4.836 ml.
c. 4.936 ml.
d. 4.964 ml.
e. 5.536 ml.

Answers

Answer:

The 90th percentile of the distribution is 6.512 ml.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.

This means that [tex]\mu = 6, \sigma = 0.4[/tex]

Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.

This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 6}{0.4}[/tex]

[tex]X - 6 = 1.28*0.4[/tex]

[tex]X = 6.512[/tex]

The 90th percentile of the distribution is 6.512 ml.

Rachel is solving the system of equations below by using the elimination method. Which of the following steps could she use? 7x-21y=14. 2x+3y=11

Answers

Answer:

[tex]7x - 21y = 14 - - - (a) \\ 2x + 3y = 11 - - - (b) \\ (a) + 7 \times (b) : \\ 21x + 0y = 91 \\ x = 4.33 \\ (2 \times 4.33) + 3y = 11 \\ 3y = 2.34 \\ y = 0.78 \\ { \boxed{x = 4.33}} \\ { \boxed{y = 0.78}}[/tex]

The segment joining the two legs of a trapezoid is called
Select one:
a. an altitude
O b. a median
O c. a base

Answers

Answer:

Base

Step-by-step explanation:

The segment joining the two legs of a trapezoid is called base

it’s a base. the segment of two legs joining is called a segment

A medical equipment industry manufactures x-ray machines. The unit cost C( the cost in dollars to make each x -ray machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function C(x)=0.2x^2-100x+31,146.what is the minimum unit cost.

Answers

Answer:

18,646

Step-by-step explanation:

>you can graph the equation on a calculator and see that the minimum is at the point (250, 18646) , so the minimum unit cost is 18,646

>you can use the first derivative to find the minimum

c'(x) = (0.2x²-100x+31,146)' = .4x -100

.4x-100= 0 , so x= 250

c(x=250) = 0.2(250)² -100*250 +31,146 =18,646

A pendulum on a grandfather clock swings side to side once every second. If the length of the pendulum is 8ft and the angle is 20 degrees, how far does it travel in 1 second?

Answers

Step-by-step explanation:

Yo all ✌️✌️

Jóin me

g-meet

besmfyotjp

Answer:

73.66 miles per hour

or if 40 degree whole swing of pendulum then ;

147.33 miles per hour.

Divide by 3600 for p/second

Step-by-step explanation:

sin x = opp /hyp  = 8 x sin (20) = 1.113384808 = 1.11ft

1.1ft p/s

5290 feet in every mile

5290/1.113384808 = 4751.27733 feet

3500 seconds in an hour

3500/4751.27733 x 100 = 73.6644013 m/ph

Scenario 2

or 2.2 feet per second depending on whether the angle from central each side is 20 degrees = 1.1 x 2 = 2.2 feet.

5290/2.22676962 =2375.63866

3500 seconds in an hour

3500/2375.63866 x 100 =  147.328803 m/ph

What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3​

Answers

Answer:

-x^2+2x-3

Step-by-step explanation:

(x^2 - 3x) + (-2x^2 + 5x - 3)

Combine like terms

-x^2+2x-3

Answer:

The fourth answer

Step-by-step explanation:

What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3

The fourth answer

Find the measure of c in the figure below using the side lengths given

Answers

Answer:

Step-by-step explanation:

take angle C as reference angle

using tan rule

tan C=oppposite/adjacent

tan C=6/12

tan C=0.5

C=[tex]tan^{-1}[/tex]0.5

C=26.6 degree

Determine the intercepts of the line
X_______
Y_______

Answers

Answer:

-250, and 100

Step-by-step explanation:

The intercepts of the line are the points where line intersects the x-axis and y-axis .

the x intercept is at point (-250, 0)

the y intercept is at point (0, 100)

A spring with a 10-kg mass and a damping constant 15 can be held stretched 1 meters beyond its natural length by a force of 2 newtons. Suppose the spring is stretched 2 meters beyond its natural length and then released with zero velocity. In the notation of the text, what is the value c^2 - 4mk? _________ m^2 kg^2/sec^2.
Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form c_1 e^alpha t + c_2 e^beta t where alpha = (the larger of the two) beta = (the smaller of the two) c_1 = _______c_2 =______.

Answers

Answer:7.5=−k(2.5)−7.52.5=kma=−7.5x2.5my′′+9y′+−3y=0,y(0)=2.5,y(5)=0−9±81+4(m)(3)−−−−−−−−−−−√2m−92m±81+12m−−−−−−−−√2my=Ae−(9/2)xcos(81+12m−−−−−−−−√2mx)+Be−(9/2)xsin(81+12m−−−−−−−−√2mx)2.5=A+B⋅00=(2.5)e−45/2cos(81+12m−−−−−−−−√52m)+Be−45/2sin(81+12m−−−−−−−−√52m)

Step-by-step explanation:

king monatla surprised his wife on birthday by buying her 55 inch television set.the repayment period is 36 months and the monthly installment is R570,00


write down the item number of the television​

Answers

Answer:

The final price of the television set is $ 20,520.

Step-by-step explanation:

Given that King Monatla surprised his wife on birthday by buying her a 55 inch television set, and the repayment period is 36 months and the monthly installment is $ 570.00, to determine the final price of the television set the following calculation must be performed:

570 x 36 = X

20.520 = X

Therefore, the final price of the television set is $ 20,520.

PLS PLS ANSWER SOMEONE​

Answers

Answer:

the answer i think it is 5

im not 100% sure on what the question is, but i hope this helps

Step-by-step explanation:

Find the length of x, round too the nearest tenth

Answers

Answer:

Step-by-step explanation:

take 34 degree as reference angle

using tan rule

tan 34=opposite/adjacent

0.67=x/16

0.67*16=x

10.72=x

10.7=x (after converting it to the nearest tenth)

ECONOMICS PLS HELP !!!!!!!!!!!!!!!!!!!!! 100 POINTS
Which factors of production had to be utilized to bring you an online education?

it is a verbal question from my teacher I have to tell her the answer tomorrow and I don't know what to tell her lol

Answers

Mark Brainliest please

Answer

Factors of production are the resources people use to produce goods and services; they are the building blocks of the economy. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship.

In my opinion, labor, capital & entrepreneurship are factors of production

What is the volume of a gift box in the shape of a rectangular prism that is 3.5 inches high, 7 inches long, and 6 inches wide

Answers

Answer:

147 cubic inches

Step-by-step explanation:

volume of the prism is length x breadth x height

3.5 x 7 x 6=147

Simplify equations HELP NOW!!

Answers

Answer:

[tex]\frac{1}{5} (2x+10)=4[/tex] [tex]x=5[/tex]

[tex]\frac{1}{3} (3x+9)=9[/tex] [tex]x=6[/tex]

Step-by-step explanation:

[tex]\frac{1}{5} (2x+10)=4[/tex]

Multiply both sides of the equation by 5.

5 · [tex]\frac{1}{5}[/tex] · [tex](2x+10)=[/tex] 5 · 4

Simplify both sides of the equation.

[tex]2x+10=20[/tex]

Subtract 10 from both sides of the equation.

[tex]2x=10[/tex]

Divide each term by 2 and simplify.

[tex]x=5[/tex]

--------------------------------------------------------------------

[tex]\frac{1}{3} (3x+9)=9[/tex]

Substitute x for 6

[tex]\frac{1}{3} (3(6)+9)=9[/tex]

Multiply 3 · 6

[tex]\frac{1}{3} ((18)+9)=9[/tex]

Add 18 + 9

[tex]\frac{1}{3} (27)=9[/tex]

Divide [tex]\frac{1}{3}[/tex] ÷ 27

9 = 9

Four times a number added to eight is equivalent to the opposite of four

Answers

Answer:

let the number be y

Opposite of 4 is -4

4y + 8 = -4

Group liked terms

4y = -4 - 8

4y = -12

y = -3

Step-by-step explanation:

let the number be y

Opposite of 4 is -4

4y + 8 = -4

Group liked terms

4y = -4 - 8

4y = -12

y = -3

The following table shows a proportional relationship between j and m.

Answers

M = ¾J

If you look at the numbers M is always 3/4 of J so the equation is M = ¾J

Answer:

[tex]j = \frac{3}{4} m[/tex]

Step-by-step explanation:

[tex]4j = 3m[/tex]

Divide both sides by 4 and you get the answer :)

A point with a positive x-coordinate and a negative y-coordinate will lie in which quadrant?

A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV

Answers

Answer: D (Quadrant IV)

15 POINTS (08.01) The graph shows two lines, A and B.

How many solutions are there for the pair of equations for lines A and B? Explain your answer.

Answers

There is only one solution because the graph shows the lines intersecting once and they won’t cross again because both lines are going in opposite directions from each other

Which is the graph of f(x) = square root 4x

Answers

The graph of f(x) = sqrt( 4x) looks like this. So choose the one that looks like the image attached.

THE graph of f(x), shown below has the same shape as the graph of G(x)=3x^2, but it is shifted down 1 unit, what is the equation

Answers

Answer:

[tex]3x^2-1[/tex]

Step-by-step explanation:

Draw and label the circle given by the equation (x - 5 + y + 10 = 6^2​

Answers

Answer:

See attachment for circle

Step-by-step explanation:

Given

[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]

Required

Draw and label the circle

The equation of a circle is:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

[tex]Center = (a,b)[/tex]

[tex]Radius = r[/tex]

So, we have:

[tex]Center = (5,-10)[/tex]

[tex]Radius = 6[/tex]

See attachment for circle

I WILL GIVE BRAINLIEST TO THE BEST AND CORRECT ANSWER

Choose all the statements that are true.

1. 15 pt<2 gal

2. 1 gal<5 qt

3. 12 fl oz> 2 c

4. 2 qt 1 c>10 c

5. 20 pt = 10 qt


Answers

Answer:

the answer should be 3 and 5 :)

Step-by-step explanation:

the answer speaks for itself

There’s 2 arcade areas and 1 swimming pool. What is the arcade area to swimming pool ratio?.

Answers

Answer:

Yeah, the person above me is right. It's 2:1

Step-by-step explanation:

There are 2 arcade areas and 1 swimming pool. the arcade area to swimming pool ratio is 2: 1.

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement.

Also the ratio is a unitless(no units) quantity.

There are 2 arcade areas and 1 swimming pool.

The arcade area to swimming pool ratio is 2: 1.

Learn more about ratios here:

brainly.com/question/186659

#SPJ2

The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student? Age 13 14 15 16 17 18 Probability 0.01 0.27 0.30 0.25 0.16 0.01 O A. 15.38 B. 15.31 о O C. 15.50 O D. 15.35 SUBMIT​

Answers

Answer:

15.31

Step-by-step explanation:

The expected value, E(X) is given by :

E(X) = Σx*p(x)

From the table above :

E(X) = (13 * 0.01) + (14 * 0.27) + (15 * 0.30) + (16 * 0.25) + (17 * 0.16) + (18 * 0.01)

E(X) = 15.31

how to calculate the circumference of a circle whose radius is 12cm

Answers

Answer:

75.4cm

Step-by-step explanation:

To calculate the circumference, you need the radius of the circle:

Multiply the radius by 2 to get the diameter.

Multiply the result by π, or 3.14 for an estimation.

That's it; you found the circumference of the circle.

Answer:

C ≈ 75.4 cm

Step-by-step explanation:

[tex]2\pi r[/tex]

2 × 3.14 × 12

C ≈ 75.4 cm

Other Questions
what is gamma rays uses of Gamma rays ANSWER PLEASE I NEED IT what is passive voice? n a simple food chain, wolves eat deer and deer eat shrubs. A pack of wolves has a total biomass of 1,000 kilograms. Approximately what biomass of shrubs must have been eaten by deer to support that wolf pack, assuming that only shrubs, deer, and wolves exist in the food chain Calculate conductance of a conduit the cross-sectional area of which is 1.5 cm2 and the length of which is 9.5 cm, given that its conductivity is 0.65 ohm-1 cm-1.0.15 ohm-10.10 ohm-11.2 ohm-17.5 ohm-1 The normal distributions for three different SAT examinations is displayed above what can you conclude about the standard deviations of the three exams? The histogram below gives the distribution of test scores for a sample ofstudents in a school in Alaska. Which answer choice gives the number ofstudents that scored above 50.5? 4. What is an enzyme, and what is its role in a reaction? Why does water appear blue? On October 1, 2016, Adams Company paid $4,200 for a two-year insurance policy with the insurance coverage beginning on that date. As of December 31, 2016, which of the following account balances are correct after adjusting entries have been made?a. Prepaid insurance $4,200, and Insurance expense $0.b. Prepaid insurance $0, and Insurance expense $4,200.c. Prepaid insurance $2,100, and Insurance expense $2,100.d. Prepaid insurance $3,675, and Insurance expense $525. 20 POINTS!!!Which polynomial lists the powers in descending order?A. 43 - 4x + 24 + x? - 10B. XI - 475 + 2A + 473 - 10c. x +4% + 2A - 475 - 10D. -10 + 433 - 4x + 24 + x? WILL GIVE BRAINLIEST find the value of x What is the perimeter of an isosceles triangle with one side thatmeasures 5 ft. and two sides that measure 11 ft. each? Graph the solution to the following inequality on the number line.(x+5)(x - 2)>0 - HELPPP PLSSSSSSSSS!!!!!!!!!! I need help on this question What is the value of x that makes the equation true? The money supply increased, and the AD curve did not shift to the right. This is consistent with the:________ a) monetarist transmission mechanism when there is a liquidity trap. b) Keynesian transmission mechanism when there is a liquidity trap. c) monetarist transmission mechanism when there is interest-insensitive investment. d) Keynesian transmission mechanism when there is either a liquidity trap or interest-insensitive investment. Ahora mismo nosotros __en la clase de computacin.a. estamosb. somosC. esd. eres In an axiomatic system, which category do points, lines, and planes belong to?